{"id":2733,"date":"2025-10-03T13:53:13","date_gmt":"2025-10-03T13:53:13","guid":{"rendered":"https:\/\/productionscrews.com\/"},"modified":"2025-10-03T13:53:13","modified_gmt":"2025-10-03T13:53:13","slug":"the-science-behind-elastic-material-from-bridges-to-medical-breakthroughs","status":"publish","type":"post","link":"https:\/\/productionscrews.com\/vi\/the-science-behind-elastic-material-from-bridges-to-medical-breakthroughs\/","title":{"rendered":"Khoa H\u1ecdc \u0110\u1eb1ng Sau V\u1eadt Li\u1ec7u \u0110\u00e0n H\u1ed3i: T\u1eeb C\u1ea7u C\u1ed1ng \u0111\u1ebfn Nh\u1eefng \u0110\u1ed9t Ph\u00e1 Y H\u1ecdc"},"content":{"rendered":"<h2>Hi\u1ec3u V\u1ec1 V\u1eadt Li\u1ec7u \u0110\u00e0n H\u1ed3i: C\u00e1ch Ch\u00fang Ho\u1ea1t \u0110\u1ed9ng v\u00e0 T\u1ea1i Sao Ch\u00fang Quan Tr\u1ecdng<\/h2>\n<p>\u0110\u1ed9 \u0111\u00e0n h\u1ed3i l\u00e0 m\u1ed9t \u0111\u1eb7c t\u00ednh c\u01a1 b\u1ea3n cho ph\u00e9p v\u1eadt li\u1ec7u u\u1ed1n cong ho\u1eb7c k\u00e9o d\u00e0i d\u01b0\u1edbi t\u00e1c d\u1ee5ng c\u1ee7a l\u1ef1c v\u00e0 sau \u0111\u00f3 tr\u1edf v\u1ec1 h\u00ecnh d\u1ea1ng ban \u0111\u1ea7u khi l\u1ef1c \u0111\u01b0\u1ee3c lo\u1ea1i b\u1ecf. \u0110\u00e2y l\u00e0 \u0111i\u1ec1u c\u00e1c k\u1ef9 s\u01b0 v\u00e0 nh\u00e0 khoa h\u1ecdc s\u1eed d\u1ee5ng \u0111\u1ec3 t\u1ea1o ra m\u1ecdi th\u1ee9 t\u1eeb c\u1ea7u l\u1edbn \u0111\u1ebfn thi\u1ebft b\u1ecb y t\u1ebf nh\u1ecf. H\u00e0nh vi n\u00e0y kh\u00e1c v\u1edbi bi\u1ebfn d\u1ea1ng d\u1ebbo, n\u01a1i v\u1eadt li\u1ec7u b\u1ecb thay \u0111\u1ed5i v\u0129nh vi\u1ec5n b\u1edfi \u1ee9ng su\u1ea5t. M\u1ed1i quan h\u1ec7 ch\u00ednh \u1edf \u0111\u00e2y l\u00e0 gi\u1eefa \u1ee9ng su\u1ea5t (l\u1ef1c n\u1ed9i t\u1ea1i tr\u00ean m\u1ed7i \u0111\u01a1n v\u1ecb di\u1ec7n t\u00edch trong v\u1eadt li\u1ec7u) v\u00e0 bi\u1ebfn d\u1ea1ng (thay \u0111\u1ed5i h\u00ecnh d\u1ea1ng k\u1ebft qu\u1ea3). Hi\u1ec3u c\u00e1ch ch\u00fang ho\u1ea1t \u0111\u1ed9ng c\u00f9ng nhau l\u00e0 \u0111i\u1ec1u c\u1ea7n thi\u1ebft cho thi\u1ebft k\u1ebf c\u01a1 kh\u00ed v\u00e0 khoa h\u1ecdc v\u1eadt li\u1ec7u.<\/p>\n<p>B\u00e0i vi\u1ebft n\u00e0y cung c\u1ea5p ph\u00e2n t\u00edch to\u00e0n di\u1ec7n v\u1ec1 v\u1eadt li\u1ec7u \u0111\u00e0n h\u1ed3i, d\u00e0nh cho sinh vi\u00ean v\u00e0 b\u1ea5t k\u1ef3 ai mu\u1ed1n hi\u1ec3u c\u00e1c nguy\u00ean t\u1eafc c\u01a1 b\u1ea3n. Ch\u00fang ta s\u1ebd ti\u1ebfn t\u1eebng b\u01b0\u1edbc t\u1eeb c\u00e1c quy lu\u1eadt c\u01a1 b\u1ea3n \u0111\u1ebfn c\u00e1c h\u00e0nh vi ph\u1ee9c t\u1ea1p trong th\u1ebf gi\u1edbi th\u1ef1c x\u00e1c \u0111\u1ecbnh c\u00e1ch c\u00e1c v\u1eadt li\u1ec7u hi\u1ec7n \u0111\u1ea1i ho\u1ea1t \u0111\u1ed9ng. M\u1ee5c ti\u00eau l\u00e0 x\u00e2y d\u1ef1ng n\u1ec1n t\u1ea3ng v\u1eefng ch\u1eafc v\u1ec1 c\u00e1ch v\u00e0 l\u00fd do t\u1ea1i sao c\u00e1c v\u1eadt li\u1ec7u n\u00e0y ho\u1ea1t \u0111\u1ed9ng. Ph\u00e2n t\u00edch c\u1ee7a ch\u00fang t\u00f4i s\u1ebd bao g\u1ed3m:<\/p>\n<ul>\n<li>C\u00e1c <a href=\"https:\/\/productionscrews.com\/vi\/the-science-behind-metal-cutting-from-basic-principles-to-expert-mastery\/\"  data-wpil-monitor-id=\"607\" target=\"_blank\">Nguy\u00ean l\u00fd c\u01a1 b\u1ea3n<\/a> c\u1ee7a \u0110\u1ed9 \u0111\u00e0n h\u1ed3i<\/li>\n<li>\u0110o l\u01b0\u1eddng \u0110\u1ed9 \u0111\u00e0n h\u1ed3i: C\u00e1c Thu\u1ed9c t\u00ednh v\u00e0 S\u1ed1 li\u1ec7u Ch\u00ednh<\/li>\n<li>V\u01b0\u1ee3t Ra Ngo\u00e0i H\u00e0nh Vi \u0110\u01a1n Gi\u1ea3n: C\u00e1c Thu\u1ed9c T\u00ednh \u0110\u00e0n H\u1ed3i N\u00e2ng Cao<\/li>\n<li>\u0110i\u1ec1u G\u00ec X\u1ea3y Ra \u1ede M\u1ee9c \u0110 atomic<\/li>\n<li>C\u00e1c V\u00ed d\u1ee5 Th\u1ef1c T\u1ebf Trong K\u1ef9 Thu\u1eadt Hi\u1ec7u Su\u1ea5t Cao<\/li>\n<\/ul>\n<p><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/unsplash-pq7KRnzY61g.jpg\" height=\"1073\" width=\"1600\" class=\"alignnone size-full wp-image-2735\" alt=\"C\u00e1c s\u1ee3i v\u1eadt li\u1ec7u \u0111\u00e0n h\u1ed3i m\u00e0u xanh, t\u00edm v\u00e0 h\u1ed3ng \u0111an xen, th\u1ec3 hi\u1ec7n t\u00ednh linh ho\u1ea1t v\u00e0 \u0111\u1ed9 b\u1ec1n ph\u00f9 h\u1ee3p v\u1edbi \u1ee9ng d\u1ee5ng k\u1ef9 thu\u1eadt v\u00e0 y t\u1ebf.\" srcset=\"https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/unsplash-pq7KRnzY61g.jpg 1600w, https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/unsplash-pq7KRnzY61g-300x201.jpg 300w, https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/unsplash-pq7KRnzY61g-768x515.jpg 768w, https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/unsplash-pq7KRnzY61g-1536x1030.jpg 1536w, https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/unsplash-pq7KRnzY61g-18x12.jpg 18w\" sizes=\"(max-width: 1600px) 100vw, 1600px\" \/> <\/p>\n<h2>Nguy\u00ean T\u1eafc C\u01a1 B\u1ea3n V\u1ec1 \u0110\u1ed9 \u0111\u00e0n h\u1ed3i<\/h2>\n<p>\u0110\u1ec3 l\u00e0m vi\u1ec7c ch\u00ednh x\u00e1c v\u1edbi v\u1eadt li\u1ec7u \u0111\u00e0n h\u1ed3i, tr\u01b0\u1edbc ti\u00ean ch\u00fang ta ph\u1ea3i hi\u1ec3u ng\u00f4n ng\u1eef d\u00f9ng \u0111\u1ec3 m\u00f4 t\u1ea3 c\u00e1ch ch\u00fang ph\u1ea3n \u1ee9ng v\u1edbi l\u1ef1c. Khung l\u00fd thuy\u1ebft n\u00e0y, d\u1ef1a tr\u00ean c\u00e1c kh\u00e1i ni\u1ec7m v\u1ec1 \u1ee9ng su\u1ea5t, bi\u1ebfn d\u1ea1ng v\u00e0 m\u1ed1i quan h\u1ec7 d\u1ef1 \u0111o\u00e1n \u0111\u01b0\u1ee3c gi\u1eefa ch\u00fang, t\u1ea1o th\u00e0nh n\u1ec1n t\u1ea3ng c\u1ee7a ph\u00e2n t\u00edch c\u01a1 h\u1ecdc. N\u00f3 cho ph\u00e9p ch\u00fang ta chuy\u1ec3n \u0111\u1ed5i t\u1ea3i tr\u1ecdng b\u00ean ngo\u00e0i th\u00e0nh ph\u1ea3n \u1ee9ng n\u1ed9i t\u1ea1i c\u1ee7a v\u1eadt li\u1ec7u, d\u1ef1 \u0111o\u00e1n h\u00e0nh vi tr\u01b0\u1edbc khi m\u1ecdi th\u1ee9 \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng.<\/p>\n<h3>Hi\u1ec3u v\u1ec1 \u1ee8ng su\u1ea5t v\u00e0 Bi\u1ebfn d\u1ea1ng<\/h3>\n<p>Khi m\u1ed9t l\u1ef1c b\u00ean ngo\u00e0i t\u00e1c d\u1ee5ng l\u00ean m\u1ed9t v\u1eadt r\u1eafn, c\u00e1c l\u1ef1c n\u1ed9i t\u1ea1i \u0111\u01b0\u1ee3c t\u1ea1o ra b\u00ean trong \u0111\u1ec3 ch\u1ed1ng l\u1ea1i s\u1ef1 bi\u1ebfn d\u1ea1ng. \u1ee8ng su\u1ea5t (\u03c3) l\u00e0 th\u01b0\u1edbc \u0111o c\u1ee7a l\u1ef1c n\u1ed9i t\u1ea1i n\u00e0y (F) ph\u00e2n b\u1ed5 tr\u00ean di\u1ec7n t\u00edch c\u1eaft ngang (A) cho tr\u01b0\u1edbc. N\u00f3 \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng:<\/p>\n<p>\u03c3 = F\/A<\/p>\n<p>\u1ee8ng su\u1ea5t kh\u00f4ng ch\u1ec9 l\u00e0 m\u1ed9t th\u1ee9; n\u00f3 xu\u1ea5t hi\u1ec7n d\u01b0\u1edbi c\u00e1c d\u1ea1ng kh\u00e1c nhau t\u00f9y thu\u1ed9c v\u00e0o c\u00e1ch l\u1ef1c \u0111\u01b0\u1ee3c t\u00e1c d\u1ee5ng:<\/p>\n<ul>\n<li>\u1ee8ng su\u1ea5t k\u00e9o x\u1ea3y ra khi v\u1eadt li\u1ec7u b\u1ecb k\u00e9o ho\u1eb7c k\u00e9o d\u00e0i.<\/li>\n<li>\u1ee8ng su\u1ea5t n\u00e9n x\u1ea3y ra khi v\u1eadt li\u1ec7u b\u1ecb \u0111\u1ea9y ho\u1eb7c \u00e9p l\u1ea1i.<\/li>\n<li>\u1ee8ng su\u1ea5t c\u1eaft x\u1ea3y ra khi c\u00e1c l\u1ef1c t\u00e1c d\u1ee5ng song song v\u1edbi b\u1ec1 m\u1eb7t, g\u00e2y ra c\u00e1c l\u1edbp tr\u01b0\u1ee3t qua nhau.<\/li>\n<\/ul>\n<p>\u0110\u00e1p \u1ee9ng v\u1edbi \u1ee9ng su\u1ea5t, v\u1eadt li\u1ec7u thay \u0111\u1ed5i h\u00ecnh d\u1ea1ng. Bi\u1ebfn d\u1ea1ng (\u03b5) l\u00e0 th\u01b0\u1edbc \u0111o c\u1ee7a s\u1ef1 bi\u1ebfn d\u1ea1ng n\u00e0y m\u00e0 kh\u00f4ng c\u00f3 \u0111\u01a1n v\u1ecb. \u0110\u1ed1i v\u1edbi t\u1ea3i k\u00e9o ho\u1eb7c \u0111\u1ea9y \u0111\u01a1n gi\u1ea3n, n\u00f3 \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a l\u00e0 s\u1ef1 thay \u0111\u1ed5i chi\u1ec1u d\u00e0i (\u0394L) chia cho chi\u1ec1u d\u00e0i ban \u0111\u1ea7u (L\u2080):<\/p>\n<p>\u03b5 = \u0394L\/L\u2080<\/p>\n<p>H\u00e3y t\u01b0\u1edfng t\u01b0\u1ee3ng m\u1ed9t thanh th\u00e9p h\u00ecnh d\u1ea1ng nh\u01b0 h\u00ecnh tr\u1ee5. Khi ch\u00fang ta k\u00e9o hai \u0111\u1ea7u c\u1ee7a n\u00f3, ch\u00fang ta t\u00e1c d\u1ee5ng m\u1ed9t l\u1ef1c k\u00e9o d\u00e3n. L\u1ef1c n\u00e0y t\u1ea1o ra \u1ee9ng su\u1ea5t k\u00e9o d\u00e3n tr\u00ean to\u00e0n b\u1ed9 m\u1eb7t c\u1eaft c\u1ee7a thanh. Thanh ph\u1ea3n \u1ee9ng b\u1eb1ng c\u00e1ch d\u00e0i ra m\u1ed9t ch\u00fat; \u0111\u1ed9 d\u00e0i n\u00e0y so v\u1edbi chi\u1ec1u d\u00e0i ban \u0111\u1ea7u g\u1ecdi l\u00e0 bi\u1ebfn d\u1ea1ng. N\u1ebfu ch\u00fang ta th\u1ea3 l\u1ef1c v\u00e0 thanh tr\u1edf l\u1ea1i chi\u1ec1u d\u00e0i ban \u0111\u1ea7u, n\u00f3 \u0111\u00e3 ph\u1ea3n \u1ee9ng m\u1ed9t c\u00e1ch \u0111\u00e0n h\u1ed3i.<\/p>\n<h3>\u0110\u1ecbnh lu\u1eadt Hooke v\u00e0 h\u00e0nh vi tuy\u1ebfn t\u00ednh<\/h3>\n<p>\u0110\u1ed1i v\u1edbi nhi\u1ec1u v\u1eadt li\u1ec7u k\u1ef9 thu\u1eadt, trong gi\u1edbi h\u1ea1n nh\u1ea5t \u0111\u1ecbnh, m\u1ed1i quan h\u1ec7 gi\u1eefa \u1ee9ng su\u1ea5t v\u00e0 bi\u1ebfn d\u1ea1ng r\u1ea5t \u0111\u01a1n gi\u1ea3n v\u00e0 tuy\u1ebfn t\u00ednh. Ph\u00e1t hi\u1ec7n n\u00e0y l\u1ea7n \u0111\u1ea7u ti\u00ean \u0111\u01b0\u1ee3c m\u00f4 t\u1ea3 b\u1edfi Robert Hooke v\u00e0o th\u1ebf k\u1ef7 17. Trong d\u1ea1ng hi\u1ec7n \u0111\u1ea1i c\u1ee7a khoa h\u1ecdc v\u1eadt li\u1ec7u, \u0110\u1ecbnh lu\u1eadt Hooke ph\u00e1t bi\u1ec3u r\u1eb1ng \u1ee9ng su\u1ea5t t\u1ef7 l\u1ec7 thu\u1eadn tr\u1ef1c ti\u1ebfp v\u1edbi bi\u1ebfn d\u1ea1ng:<\/p>\n<p>\u03c3 = E\u03b5<\/p>\n<p>H\u1eb1ng s\u1ed1 E \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 Modun Young ho\u1eb7c the <a href=\"https:\/\/productionscrews.com\/vi\/ultimate-guide-to-elastic-modulus-testing-from-bridge-safety-to-medical-implants\/\"  data-wpil-monitor-id=\"611\" target=\"_blank\">Modun \u0111\u00e0n h\u1ed3i<\/a>, m\u1ed9t \u0111\u1eb7c t\u00ednh v\u1eadt li\u1ec7u quan tr\u1ecdng m\u00e0 ch\u00fang ta s\u1ebd kh\u00e1m ph\u00e1 sau. Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01a1n gi\u1ea3n n\u00e0y r\u1ea5t m\u1ea1nh m\u1ebd, v\u00ec n\u00f3 cho ph\u00e9p c\u00e1c k\u1ef9 s\u01b0 d\u1ef1 \u0111o\u00e1n m\u1ee9c \u0111\u1ed9 bi\u1ebfn d\u1ea1ng c\u1ee7a m\u1ed9t b\u1ed9 ph\u1eadn d\u01b0\u1edbi t\u00e1c d\u1ee5ng c\u1ee7a m\u1ed9t l\u1ef1c \u0111\u00e3 bi\u1ebft, mi\u1ec5n l\u00e0 v\u1eadt li\u1ec7u v\u1eabn n\u1eb1m trong v\u00f9ng \u0111\u00e0n h\u1ed3i tuy\u1ebfn t\u00ednh c\u1ee7a n\u00f3.<\/p>\n<p>\u0110i\u1ec1u quan tr\u1ecdng l\u00e0 nh\u1eadn th\u1ee9c r\u1eb1ng \u0110\u1ecbnh lu\u1eadt Hooke l\u00e0 m\u1ed9t ph\u00e9p x\u1ea5p x\u1ec9. N\u00f3 ch\u1ec9 ho\u1ea1t \u0111\u1ed9ng \u0111\u1ebfn m\u1ed9t m\u1ee9c \u0111\u1ed9 \u1ee9ng su\u1ea5t nh\u1ea5t \u0111\u1ecbnh g\u1ecdi l\u00e0 gi\u1edbi h\u1ea1n \u0111\u00e0n h\u1ed3i. V\u01b0\u1ee3t qu\u00e1 \u0111i\u1ec3m n\u00e0y, h\u00e0nh vi c\u1ee7a v\u1eadt li\u1ec7u thay \u0111\u1ed5i v\u00e0 bi\u1ebfn d\u1ea1ng v\u0129nh vi\u1ec5n b\u1eaft \u0111\u1ea7u x\u1ea3y ra. Xem \u0110\u1ecbnh lu\u1eadt Hooke nh\u01b0 m\u1ed9t quy t\u1eafc tuy\u1ec7t \u0111\u1ed1i m\u00e0 kh\u00f4ng t\u00f4n tr\u1ecdng gi\u1edbi h\u1ea1n c\u1ee7a n\u00f3 l\u00e0 m\u1ed9t nguy\u00ean nh\u00e2n ph\u1ed5 bi\u1ebfn g\u00e2y ra th\u1ea5t b\u1ea1i k\u1ef9 thu\u1eadt.<\/p>\n<h3>\u0110\u01b0\u1eddng cong \u1ee9ng su\u1ea5t- bi\u1ebfn d\u1ea1ng<\/h3>\n<p>C\u00e1ch tr\u1ef1c quan nh\u1ea5t \u0111\u1ec3 h\u00ecnh dung h\u00e0nh vi c\u01a1 h\u1ecdc c\u1ee7a m\u1ed9t v\u1eadt li\u1ec7u l\u00e0 qua \u0111\u01b0\u1eddng cong \u1ee9ng su\u1ea5t- bi\u1ebfn d\u1ea1ng. \u0110\u1ed3 th\u1ecb n\u00e0y, \u0111\u01b0\u1ee3c t\u1ea1o ra t\u1eeb m\u1ed9t th\u1eed nghi\u1ec7m k\u00e9o ti\u00eau chu\u1ea9n, \u0111\u00f3ng vai tr\u00f2 nh\u01b0 d\u1ea5u v\u00e2n tay ri\u00eang bi\u1ec7t c\u1ee7a v\u1eadt li\u1ec7u, ti\u1ebft l\u1ed9 \u0111\u1ed9 b\u1ec1n, \u0111\u1ed9 c\u1ee9ng v\u00e0 kh\u1ea3 n\u0103ng k\u00e9o d\u00e0i c\u1ee7a n\u00f3. \u0110\u1ed1i v\u1edbi m\u1ed9t kim lo\u1ea1i d\u1ec5 u\u1ed1n \u0111i\u1ec3n h\u00ecnh nh\u01b0 th\u00e9p c\u1ea5u tr\u00fac, h\u00e0nh tr\u00ecnh tr\u00ean \u0111\u01b0\u1eddng cong n\u00e0y di\u1ec5n ra qua c\u00e1c giai \u0111o\u1ea1n r\u00f5 r\u00e0ng:<\/p>\n<ol>\n<li>V\u00f9ng \u0111\u00e0n h\u1ed3i tuy\u1ebfn t\u00ednh: \u0110\u00e2y l\u00e0 ph\u1ea7n ban \u0111\u1ea7u, d\u1ea1ng \u0111\u01b0\u1eddng th\u1eb3ng c\u1ee7a \u0111\u01b0\u1eddng cong n\u01a1i \u0111\u1ecbnh lu\u1eadt Hooke \u00e1p d\u1ee5ng. \u00c1p l\u1ef1c t\u1ec9 l\u1ec7 thu\u1eadn tr\u1ef1c ti\u1ebfp v\u1edbi bi\u1ebfn d\u1ea1ng. N\u1ebfu t\u1ea3i tr\u1ecdng b\u1ecb lo\u1ea1i b\u1ecf \u1edf b\u1ea5t k\u1ef3 \u0111i\u1ec3m n\u00e0o trong v\u00f9ng n\u00e0y, v\u1eadt li\u1ec7u s\u1ebd tr\u1edf v\u1ec1 k\u00edch th\u01b0\u1edbc ban \u0111\u1ea7u c\u1ee7a n\u00f3, v\u00e0 n\u0103ng l\u01b0\u1ee3ng \u0111\u00e3 s\u1eed d\u1ee5ng \u0111\u1ec3 bi\u1ebfn d\u1ea1ng n\u00f3 s\u1ebd \u0111\u01b0\u1ee3c ph\u1ee5c h\u1ed3i ho\u00e0n to\u00e0n.<\/li>\n<li>Gi\u1edbi h\u1ea1n t\u1ef7 l\u1ec7 &amp; Gi\u1edbi h\u1ea1n \u0111\u00e0n h\u1ed3i: Gi\u1edbi h\u1ea1n t\u1ef7 l\u1ec7 l\u00e0 \u0111i\u1ec3m m\u00e0 \u0111\u01b0\u1eddng cong l\u1ea7n \u0111\u1ea7u ti\u00ean r\u1eddi kh\u1ecfi \u0111\u01b0\u1eddng th\u1eb3ng. Gi\u1edbi h\u1ea1n \u0111\u00e0n h\u1ed3i l\u00e0 m\u1ed9t \u0111i\u1ec3m n\u1eb1m h\u01a1i v\u01b0\u1ee3t qu\u00e1 \u0111i\u1ec3m n\u00e0y, th\u1ec3 hi\u1ec7n \u1ee9ng su\u1ea5t t\u1ed1i \u0111a m\u00e0 v\u1eadt li\u1ec7u c\u00f3 th\u1ec3 ch\u1ecbu \u0111\u1ef1ng m\u00e0 kh\u00f4ng b\u1ecb bi\u1ebfn d\u1ea1ng v\u0129nh vi\u1ec5n. \u0110\u1ed1i v\u1edbi h\u1ea7u h\u1ebft kim lo\u1ea1i, hai \u0111i\u1ec3m n\u00e0y g\u1ea7n nh\u01b0 tr\u00f9ng nhau n\u00ean th\u01b0\u1eddng \u0111\u01b0\u1ee3c xem l\u00e0 gi\u1ed1ng nhau.<\/li>\n<li>\u0110i\u1ec3m gi\u1edbi h\u1ea1n ch\u1ea3y: T\u1ea1i \u0111i\u1ec3m gi\u1edbi h\u1ea1n ch\u1ea3y, v\u1eadt li\u1ec7u b\u1eaft \u0111\u1ea7u bi\u1ebfn d\u1ea1ng v\u0129nh vi\u1ec5n. Ngay c\u1ea3 m\u1ed9t m\u1ee9c t\u0103ng nh\u1ecf v\u1ec1 \u1ee9ng su\u1ea5t c\u0169ng g\u00e2y ra m\u1ed9t s\u1ef1 t\u0103ng l\u1edbn v\u1ec1 bi\u1ebfn d\u1ea1ng. \u0110i\u1ec1u n\u00e0y \u0111\u00e1nh d\u1ea5u s\u1ef1 b\u1eaft \u0111\u1ea7u c\u1ee7a s\u1ef1 bi\u1ebfn d\u1ea1ng v\u0129nh vi\u1ec5n. \u0110\u1ed1i v\u1edbi c\u00e1c nh\u00e0 thi\u1ebft k\u1ebf, \u0111\u1ed9 b\u1ec1n ch\u1ea3y th\u01b0\u1eddng l\u00e0 \u0111\u1eb7c t\u00ednh quan tr\u1ecdng nh\u1ea5t, v\u00ec n\u00f3 x\u00e1c \u0111\u1ecbnh gi\u1edbi h\u1ea1n tr\u00ean th\u1ef1c t\u1ebf c\u1ee7a \u1ee9ng su\u1ea5t l\u00e0m vi\u1ec7c c\u1ee7a m\u1ed9t th\u00e0nh ph\u1ea7n.<\/li>\n<li>V\u00f9ng c\u1ee9ng h\u00f3a do bi\u1ebfn d\u1ea1ng: Sau khi \u0111\u1ea1t gi\u1edbi h\u1ea1n ch\u1ea3y, nhi\u1ec1u kim lo\u1ea1i th\u1ec3 hi\u1ec7n hi\u1ec7n t\u01b0\u1ee3ng c\u1ee9ng h\u00f3a do bi\u1ebfn d\u1ea1ng (ho\u1eb7c c\u1ee9ng h\u00f3a do c\u00f4ng). Trong v\u00f9ng n\u00e0y, v\u1eadt li\u1ec7u tr\u1edf n\u00ean c\u1ee9ng h\u01a1n v\u00e0 ch\u1eafc h\u01a1n khi ti\u1ebfp t\u1ee5c bi\u1ebfn d\u1ea1ng v\u0129nh vi\u1ec5n. \u0110i\u1ec1u n\u00e0y \u0111\u00f2i h\u1ecfi l\u1ef1c t\u0103ng l\u00ean \u0111\u1ec3 t\u1ea1o ra s\u1ef1 bi\u1ebfn d\u1ea1ng ti\u1ebfp theo.<\/li>\n<li>\u0110\u1ed9 b\u1ec1n k\u00e9o t\u1ed1i \u0111a (UTS): UTS l\u00e0 \u0111i\u1ec3m \u0111\u1ec9nh c\u1ee7a \u0111\u01b0\u1eddng cong, th\u1ec3 hi\u1ec7n m\u1ee9c t\u1ed1i \u0111a <a href=\"https:\/\/productionscrews.com\/vi\/ultimate-guide-to-fatigue-testing-why-materials-fail-under-repeated-stress\/\"  data-wpil-monitor-id=\"610\" target=\"_blank\">nh\u1ea5n m\u1ea1nh v\u1eadt li\u1ec7u c\u00f3 th\u1ec3 ch\u1ecbu \u0111\u1ef1ng tr\u01b0\u1edbc khi b\u1eaft \u0111\u1ea7u h\u1ecfng h\u00f3c<\/a>V\u01b0\u1ee3t qu\u00e1 \u0111i\u1ec3m n\u00e0y, kh\u1ea3 n\u0103ng ch\u1ecbu t\u1ea3i c\u1ee7a v\u1eadt li\u1ec7u gi\u1ea3m \u0111i.<\/li>\n<li>Thu h\u1eb9p v\u00e0 g\u00e3y: Sau khi \u0111\u1ea1t \u0111\u1ebfn gi\u1edbi h\u1ea1n ch\u1ea3y t\u1ed1i \u0111a (UTS), di\u1ec7n t\u00edch m\u1eb7t c\u1eaft ngang c\u1ee7a v\u1eadt li\u1ec7u b\u1eaft \u0111\u1ea7u gi\u1ea3m trong m\u1ed9t v\u00f9ng t\u1eadp trung, hi\u1ec7n t\u01b0\u1ee3ng g\u1ecdi l\u00e0 thu h\u1eb9p. \u00c1p l\u1ef1c t\u1eadp trung v\u00e0o v\u00f9ng nh\u1ecf h\u01a1n n\u00e0y, d\u1eabn \u0111\u1ebfn bi\u1ebfn d\u1ea1ng nhanh ch\u00f3ng v\u00e0 cu\u1ed1i c\u00f9ng l\u00e0 g\u00e3y.<\/li>\n<\/ol>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2736\" src=\"https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/pixabay-2229753.jpg\" alt=\"D\u00e2y chun, m\u00e0u s\u1eafc, b\u00f3ng, \u0111\u00e0n h\u1ed3i, cao su, m\u00e0u s\u1eafc, nhi\u1ec1u m\u00e0u, d\u00e2y, tr\u00f2n, c\u1ee1 l\u1edbn, v\u0103n ph\u00f2ng ph\u1ea9m, d\u00e2y chun, d\u00e2y \u0111\u00e0n h\u1ed3i, cao su, cao su, cao su, cao su, cao su, d\u00e2y cao su, d\u00e2y cao su, d\u00e2y cao su, d\u00e2y cao su, d\u00e2y cao su\" width=\"1280\" height=\"914\" srcset=\"https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/pixabay-2229753.jpg 1280w, https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/pixabay-2229753-300x214.jpg 300w, https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/pixabay-2229753-768x548.jpg 768w, https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/pixabay-2229753-18x12.jpg 18w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/p>\n<h2>\u0110o l\u01b0\u1eddng \u0111\u1eb7c t\u00ednh \u0111\u00e0n h\u1ed3i<\/h2>\n<p>Trong khi \u0111\u01b0\u1eddng cong \u1ee9ng su\u1ea5t- bi\u1ebfn d\u1ea1ng cung c\u1ea5p m\u1ed9t b\u1ee9c tranh to\u00e0n di\u1ec7n, c\u00e1c k\u1ef9 s\u01b0 c\u1ea7n c\u00e1c s\u1ed1 li\u1ec7u c\u1ee5 th\u1ec3, c\u00f3 th\u1ec3 \u0111o l\u01b0\u1eddng \u0111\u1ec3 so s\u00e1nh c\u00e1c v\u1eadt li\u1ec7u v\u00e0 th\u1ef1c hi\u1ec7n c\u00e1c t\u00ednh to\u00e1n thi\u1ebft k\u1ebf. Nh\u1eefng s\u1ed1 li\u1ec7u n\u00e0y \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 c\u00e1c m\u00f4-\u0111un \u0111\u00e0n h\u1ed3i. M\u1ed7i m\u00f4-\u0111un m\u00f4 t\u1ea3 kh\u1ea3 n\u0103ng ch\u1ed1ng l\u1ea1i m\u1ed9t lo\u1ea1i bi\u1ebfn d\u1ea1ng \u0111\u00e0n h\u1ed3i c\u1ee5 th\u1ec3 c\u1ee7a v\u1eadt li\u1ec7u, chuy\u1ec3n \u0111\u1ed5i l\u00fd thuy\u1ebft tr\u1eebu t\u01b0\u1ee3ng v\u1ec1 \u0111\u00e0n h\u1ed3i th\u00e0nh c\u00e1c \u1ee9ng d\u1ee5ng th\u1ef1c t\u1ebf. <a href=\"https:\/\/productionscrews.com\/vi\/ultimate-guide-alloy-steel-screws-material-selection-and-best-practices-2024\/\"  data-wpil-monitor-id=\"605\" target=\"_blank\">s\u1ed1 l\u01b0\u1ee3ng th\u1ef1c t\u1ebf c\u1ea7n thi\u1ebft \u0111\u1ec3 l\u1ef1a ch\u1ecdn v\u1eadt li\u1ec7u<\/a>.<\/p>\n<h3>M\u00f4 \u0111un Young (E)<\/h3>\n<p>M\u00f4\u0111un Young (E), c\u00f2n g\u1ecdi l\u00e0 m\u00f4\u0111un \u0111\u00e0n h\u1ed3i, l\u00e0 \u0111\u1eb7c t\u00ednh \u0111\u00e0n h\u1ed3i ph\u1ed5 bi\u1ebfn nh\u1ea5t. N\u00f3 \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a l\u00e0 t\u1ef7 l\u1ec7 gi\u1eefa \u1ee9ng su\u1ea5t k\u00e9o ho\u1eb7c n\u00e9n so v\u1edbi bi\u1ebfn d\u1ea1ng t\u01b0\u01a1ng \u1ee9ng trong v\u00f9ng \u0111\u00e0n h\u1ed3i tuy\u1ebfn t\u00ednh. N\u00f3 l\u00e0 \u0111\u1ed9 d\u1ed1c c\u1ee7a \u0111\u01b0\u1eddng cong \u1ee9ng su\u1ea5t-bi\u1ebfn d\u1ea1ng trong v\u00f9ng n\u00e0y. V\u1eadt l\u00fd, M\u00f4\u0111un Young l\u00e0 m\u1ed9t th\u01b0\u1edbc \u0111o tr\u1ef1c ti\u1ebfp \u0111\u1ed9 c\u1ee9ng ho\u1eb7c \u0111\u1ed9 v\u1eefng c\u1ee7a v\u1eadt li\u1ec7u. M\u1ed9t v\u1eadt li\u1ec7u c\u00f3 M\u00f4\u0111un Young cao, nh\u01b0 th\u00e9p, c\u1ea7n m\u1ed9t \u1ee9ng su\u1ea5t l\u1edbn \u0111\u1ec3 t\u1ea1o ra m\u1ed9t l\u01b0\u1ee3ng bi\u1ebfn d\u1ea1ng nh\u1ecf, khi\u1ebfn n\u00f3 r\u1ea5t c\u1ee9ng. Ng\u01b0\u1ee3c l\u1ea1i, m\u1ed9t v\u1eadt li\u1ec7u c\u00f3 M\u00f4\u0111un Young th\u1ea5p, nh\u01b0 cao su t\u1ef1 nhi\u00ean, bi\u1ebfn d\u1ea1ng \u0111\u00e1ng k\u1ec3 d\u01b0\u1edbi m\u1ed9t \u1ee9ng su\u1ea5t nh\u1ecf, khi\u1ebfn n\u00f3 r\u1ea5t linh ho\u1ea1t.<\/p>\n<h3>H\u00e0m M\u00f4 C\u1eaft (G)<\/h3>\n<p>\u0110\u1ed9 c\u1ee9ng tr\u01b0\u1ee3t (G), hay modulus \u0111\u00e0n h\u1ed3i c\u1ee7a \u0111\u1ed9 c\u1ee9ng, \u0111o kh\u1ea3 n\u0103ng ch\u1ed1ng bi\u1ebfn d\u1ea1ng tr\u01b0\u1ee3t c\u1ee7a v\u1eadt li\u1ec7u. N\u00f3 l\u00e0 t\u1ef7 l\u1ec7 c\u1ee7a \u1ee9ng su\u1ea5t tr\u01b0\u1ee3t so v\u1edbi bi\u1ebfn d\u1ea1ng tr\u01b0\u1ee3t. \u0110\u1ec3 h\u00ecnh dung \u0111i\u1ec1u n\u00e0y, h\u00e3y t\u01b0\u1edfng t\u01b0\u1ee3ng b\u1ea1n \u0111\u1ea9y ngang v\u00e0o m\u1eb7t tr\u00ean c\u1ee7a m\u1ed9t quy\u1ec3n s\u00e1ch d\u00e0y trong khi m\u1eb7t d\u01b0\u1edbi \u0111\u01b0\u1ee3c gi\u1eef c\u1ed1 \u0111\u1ecbnh. C\u00e1c trang s\u00e1ch s\u1ebd tr\u01b0\u1ee3t so v\u1edbi nhau, l\u00e0m thay \u0111\u1ed5i h\u00ecnh d\u1ea1ng c\u1ee7a n\u00f3 t\u1eeb h\u00ecnh ch\u1eef nh\u1eadt th\u00e0nh h\u00ecnh b\u00ecnh h\u00e0nh. \u0110\u1ed9 c\u1ee9ng tr\u01b0\u1ee3t \u0111o kh\u1ea3 n\u0103ng c\u1ee7a v\u1eadt li\u1ec7u ch\u1ed1ng l\u1ea1i lo\u1ea1i bi\u1ebfn d\u1ea1ng g\u00f3c n\u00e0y. \u0110\u00e2y l\u00e0 m\u1ed9t th\u00f4ng s\u1ed1 quan tr\u1ecdng trong thi\u1ebft k\u1ebf c\u00e1c th\u00e0nh ph\u1ea7n ch\u1ecbu t\u1ea3i xo\u1eafn, ch\u1eb3ng h\u1ea1n nh\u01b0 tr\u1ee5c truy\u1ec1n \u0111\u1ed9ng v\u00e0 bu l\u00f4ng.<\/p>\n<h3>\u0110\u1ed9 c\u1ee9ng n\u00e9n (K)<\/h3>\n<p>\u0110\u1ed9 l\u1edbn m\u00f4 \u0111un n\u00e9n (K) l\u00e0 th\u01b0\u1edbc \u0111o kh\u1ea3 n\u0103ng ch\u1ed1ng bi\u1ebfn d\u1ea1ng c\u1ee7a v\u1eadt li\u1ec7u khi thay \u0111\u1ed5i th\u1ec3 t\u00edch \u0111\u1ed3ng \u0111\u1ec1u. N\u00f3 \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a l\u00e0 t\u1ef7 l\u1ec7 gi\u1eefa \u00e1p l\u1ef1c t\u00e1c d\u1ee5ng t\u1eeb t\u1ea5t c\u1ea3 c\u00e1c ph\u00eda v\u00e0 s\u1ef1 thay \u0111\u1ed5i th\u1ec3 t\u00edch t\u01b0\u01a1ng \u1ee9ng. H\u00e3y t\u01b0\u1edfng t\u01b0\u1ee3ng m\u1ed9t kh\u1ed1i r\u1eafn ch\u00ecm trong ch\u1ea5t l\u1ecfng. N\u1ebfu \u00e1p l\u1ef1c c\u1ee7a ch\u1ea5t l\u1ecfng t\u0103ng l\u00ean, kh\u1ed1i s\u1ebd b\u1ecb n\u00e9n \u0111\u1ed3ng \u0111\u1ec1u t\u1eeb t\u1ea5t c\u1ea3 c\u00e1c ph\u00eda, l\u00e0m th\u1ec3 t\u00edch c\u1ee7a n\u00f3 gi\u1ea3m \u0111i. \u0110\u1ed9 l\u1edbn m\u00f4 \u0111un n\u00e9n cho bi\u1ebft m\u1ee9c \u0111\u1ed9 v\u1eadt li\u1ec7u ch\u1ed1ng l\u1ea1i s\u1ef1 n\u00e9n n\u00e0y. C\u00e1c v\u1eadt li\u1ec7u c\u00f3 \u0110\u1ed9 l\u1edbn m\u00f4 \u0111un n\u00e9n cao g\u1ea7n nh\u01b0 kh\u00f4ng th\u1ec3 n\u00e9n \u0111\u01b0\u1ee3c. Thu\u1ed9c t\u00ednh n\u00e0y \u0111\u1eb7c bi\u1ec7t quan tr\u1ecdng \u0111\u1ed1i v\u1edbi c\u00e1c v\u1eadt li\u1ec7u s\u1eed d\u1ee5ng trong m\u00f4i tr\u01b0\u1eddng \u00e1p su\u1ea5t cao, nh\u01b0 c\u00e1c th\u00e0nh ph\u1ea7n c\u1ee7a ph\u01b0\u01a1ng ti\u1ec7n l\u1eb7n s\u00e2u ho\u1eb7c h\u1ec7 th\u1ed1ng th\u1ee7y l\u1ef1c.<\/p>\n<h3>H\u1ec7 s\u1ed1 Poisson (\u03bd)<\/h3>\n<p>H\u1ec7 s\u1ed1 Poisson (\u03bd) m\u00f4 t\u1ea3 m\u1ed9t hi\u1ec7n t\u01b0\u1ee3ng \u0111\u1eb7c bi\u1ec7t: khi m\u1ed9t v\u1eadt li\u1ec7u b\u1ecb k\u00e9o d\u00e0i theo m\u1ed9t h\u01b0\u1edbng, n\u00f3 c\u00f3 xu h\u01b0\u1edbng tr\u1edf n\u00ean m\u1ecfng h\u01a1n \u1edf hai h\u01b0\u1edbng vu\u00f4ng g\u00f3c. T\u01b0\u01a1ng t\u1ef1, khi b\u1ecb n\u00e9n, v\u1eadt li\u1ec7u m\u1edf r\u1ed9ng sang hai b\u00ean. H\u1ec7 s\u1ed1 Poisson l\u00e0 t\u1ef7 l\u1ec7 c\u1ee7a bi\u1ebfn d\u1ea1ng ngang n\u00e0y so v\u1edbi bi\u1ebfn d\u1ea1ng d\u1ecdc theo chi\u1ec1u d\u00e0i. V\u00ed d\u1ee5, khi b\u1ea1n k\u00e9o d\u00e0i m\u1ed9t d\u00e2y cao su, n\u00f3 kh\u00f4ng ch\u1ec9 d\u00e0i h\u01a1n m\u00e0 c\u00f2n r\u00f5 r\u00e0ng m\u1ecfng h\u01a1n. S\u1ef1 m\u1ecfng \u0111i n\u00e0y l\u00e0 k\u1ebft qu\u1ea3 c\u1ee7a H\u1ec7 s\u1ed1 Poisson. H\u1ea7u h\u1ebft c\u00e1c v\u1eadt li\u1ec7u k\u1ef9 thu\u1eadt c\u00f3 H\u1ec7 s\u1ed1 Poisson n\u1eb1m trong kho\u1ea3ng t\u1eeb 0,25 \u0111\u1ebfn 0,35. Gi\u00e1 tr\u1ecb 0,5 c\u00f3 ngh\u0129a l\u00e0 th\u1ec3 t\u00edch c\u1ee7a v\u1eadt li\u1ec7u gi\u1eef nguy\u00ean trong qu\u00e1 tr\u00ecnh bi\u1ebfn d\u1ea1ng, \u0111\u1eb7c tr\u01b0ng c\u1ee7a c\u00e1c v\u1eadt li\u1ec7u nh\u01b0 cao su.<\/p>\n<h3>B\u1ea3ng 1: C\u00e1c \u0111\u1eb7c t\u00ednh \u0111\u00e0n h\u1ed3i c\u1ee7a c\u00e1c v\u1eadt li\u1ec7u ph\u1ed5 bi\u1ebfn<\/h3>\n<p>\u0110\u1ec3 cung c\u1ea5p b\u1ed1i c\u1ea3nh, b\u1ea3ng d\u01b0\u1edbi \u0111\u00e2y tr\u00ecnh b\u00e0y c\u00e1c gi\u00e1 tr\u1ecb \u0111i\u1ec3n h\u00ecnh cho c\u00e1c \u0111\u1eb7c t\u00ednh n\u00e0y c\u1ee7a m\u1ed9t s\u1ed1 v\u1eadt li\u1ec7u k\u1ef9 thu\u1eadt ph\u1ed5 bi\u1ebfn. D\u1eef li\u1ec7u n\u00e0y r\u1ea5t c\u1ea7n thi\u1ebft cho giai \u0111o\u1ea1n s\u01a1 b\u1ed9 <a href=\"https:\/\/productionscrews.com\/vi\/ultimate-guide-alloy-steel-screws-raw-material-selection-for-maximum-strength\/\"  data-wpil-monitor-id=\"608\" target=\"_blank\">l\u1ef1a ch\u1ecdn v\u1eadt li\u1ec7u<\/a> trong qu\u00e1 tr\u00ecnh thi\u1ebft k\u1ebf.<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"144\">V\u1eadt li\u1ec7u<\/td>\n<td width=\"144\">M\u00f4 \u0111un Young (E) t\u00ednh b\u1eb1ng GPa<\/td>\n<td width=\"144\">\u0110\u1ed9 c\u1ee9ng \u0111\u00e0n h\u1ed3i (G) t\u00ednh b\u1eb1ng GPa<\/td>\n<td width=\"144\">H\u1ec7 s\u1ed1 Poisson (\u03bd)<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Th\u00e9p (C\u1ea5u tr\u00fac)<\/td>\n<td width=\"144\">~200<\/td>\n<td width=\"144\">~77<\/td>\n<td width=\"144\">~0.30<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">H\u1ee3p kim nh\u00f4m<\/td>\n<td width=\"144\">~70<\/td>\n<td width=\"144\">~26<\/td>\n<td width=\"144\">~0.33<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">H\u1ee3p kim Titan<\/td>\n<td width=\"144\">~115<\/td>\n<td width=\"144\">~43<\/td>\n<td width=\"144\">~0.34<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">B\u00ea t\u00f4ng<\/td>\n<td width=\"144\">~30<\/td>\n<td width=\"144\">~12<\/td>\n<td width=\"144\">~0.20<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Polystyrene<\/td>\n<td width=\"144\">~3.0<\/td>\n<td width=\"144\">~1.1<\/td>\n<td width=\"144\">~0.35<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Cao su t\u1ef1 nhi\u00ean<\/td>\n<td width=\"144\">~0.001-0.1<\/td>\n<td width=\"144\">~0.0006<\/td>\n<td width=\"144\">~0.50<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&#8212;<\/p>\n<h2>H\u00e0nh vi \u0111\u00e0n h\u1ed3i n\u00e2ng cao<\/h2>\n<p>M\u00f4 h\u00ecnh tuy\u1ebfn t\u00ednh \u0111\u01b0\u1ee3c m\u00f4 t\u1ea3 b\u1edfi \u0110\u1ecbnh lu\u1eadt Hooke l\u00e0 m\u1ed9t c\u00f4ng c\u1ee5 m\u1ea1nh m\u1ebd v\u00e0 \u0111\u1ee7 \u0111\u1ec3 \u00e1p d\u1ee5ng trong nhi\u1ec1u l\u0129nh v\u1ef1c, \u0111\u1eb7c bi\u1ec7t v\u1edbi kim lo\u1ea1i v\u00e0 g\u1ed1m s\u1ee9 d\u01b0\u1edbi c\u00e1c bi\u1ebfn d\u1ea1ng nh\u1ecf. Tuy nhi\u00ean, nhi\u1ec1u v\u1eadt li\u1ec7u ti\u00ean ti\u1ebfn v\u00e0 c\u00e1c \u1ee9ng d\u1ee5ng \u0111\u00f2i h\u1ecfi cao v\u01b0\u1ee3t ra ngo\u00e0i gi\u1edbi h\u1ea1n n\u00e0y. \u0110\u1ec3 hi\u1ec3u r\u00f5 to\u00e0n di\u1ec7n h\u00e0nh vi \u0111\u00e0n h\u1ed3i c\u1ee7a v\u1eadt li\u1ec7u, ch\u00fang ta ph\u1ea3i kh\u00e1m ph\u00e1 c\u00e1c ph\u1ea3n \u1ee9ng ph\u1ee9c t\u1ea1p h\u01a1n, kh\u00f4ng l\u00fd t\u01b0\u1edfng x\u1ea3y ra trong th\u1ebf gi\u1edbi th\u1ef1c. \u0110\u00e2y l\u00e0 n\u01a1i ch\u00fang ta chuy\u1ec3n t\u1eeb l\u00fd thuy\u1ebft trong s\u00e1ch gi\u00e1o khoa sang ph\u00e2n t\u00edch chuy\u00ean s\u00e2u.<\/p>\n<h3>\u0110\u1ed9ng l\u1ef1c Hyperelastic phi tuy\u1ebfn<\/h3>\n<p>\u0110\u1ed1i v\u1edbi c\u00e1c v\u1eadt li\u1ec7u ch\u1ecbu bi\u1ebfn d\u1ea1ng \u0111\u00e0n h\u1ed3i r\u1ea5t l\u1edbn, nh\u01b0 cao su, silic, v\u00e0 m\u00f4 m\u1ec1m sinh h\u1ecdc, m\u1ed1i quan h\u1ec7 gi\u1eefa \u1ee9ng su\u1ea5t v\u00e0 bi\u1ebfn d\u1ea1ng kh\u00f4ng c\u00f2n tuy\u1ebfn t\u00ednh. L\u1ef1c c\u1ea7n thi\u1ebft \u0111\u1ec3 t\u1ea1o ra m\u1ed9t \u0111\u01a1n v\u1ecb bi\u1ebfn d\u1ea1ng b\u1ed5 sung thay \u0111\u1ed5i khi v\u1eadt li\u1ec7u k\u00e9o d\u00e0i. H\u00e0nh vi n\u00e0y \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 hyperelasticity.<\/p>\n<p>Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y, \u0110\u1ecbnh lu\u1eadt Hooke kh\u00f4ng c\u00f2n ph\u00f9 h\u1ee3p n\u1eefa. Thay v\u00e0o \u0111\u00f3, c\u00e1c k\u1ef9 s\u01b0 s\u1eed d\u1ee5ng c\u00e1c m\u00f4 h\u00ecnh to\u00e1n h\u1ecdc ph\u1ee9c t\u1ea1p h\u01a1n d\u1ef1a tr\u00ean c\u00e1c h\u00e0m n\u0103ng l\u01b0\u1ee3ng. C\u00e1c m\u00f4 h\u00ecnh nh\u01b0 Neo-Hookean, Mooney-Rivlin v\u00e0 Yeoh \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 m\u00f4 t\u1ea3 v\u00e0 d\u1ef1 \u0111o\u00e1n ph\u1ea3n \u1ee9ng c\u1ee7a v\u1eadt li\u1ec7u. \u0110i\u1ec3m m\u1ea5u ch\u1ed1t kh\u00f4ng ph\u1ea3i l\u00e0 to\u00e1n h\u1ecdc ph\u1ee9c t\u1ea1p \u0111\u1eb1ng sau c\u00e1c m\u00f4 h\u00ecnh n\u00e0y, m\u00e0 l\u00e0 hi\u1ec3u t\u1ea1i sao ch\u00fang c\u1ea7n thi\u1ebft: ch\u00fang cung c\u1ea5p khung \u0111\u1ec3 x\u1eed l\u00fd h\u00e0nh vi phi tuy\u1ebfn, ho\u00e0n to\u00e0n c\u00f3 th\u1ec3 \u0111\u1ea3o ng\u01b0\u1ee3c, v\u1edbi bi\u1ebfn d\u1ea1ng l\u1edbn \u0111\u1eb7c tr\u01b0ng c\u1ee7a c\u00e1c v\u1eadt li\u1ec7u m\u1ec1m, c\u00f3 th\u1ec3 k\u00e9o d\u00e0i.<\/p>\n<h3>\u0110\u1ed9ng l\u1ef1c viscoelastic ph\u1ee5 thu\u1ed9c th\u1eddi gian<\/h3>\n<p>Hi\u1ec3u r\u00f5 v\u1ec1 viscoelastic l\u00e0 r\u1ea5t quan tr\u1ecdng trong thi\u1ebft k\u1ebf v\u1edbi polymer. V\u1eadt li\u1ec7u viscoelastic th\u1ec3 hi\u1ec7n s\u1ef1 k\u1ebft h\u1ee3p h\u1ea5p d\u1eabn c\u1ee7a c\u00e1c h\u00e0nh vi: ch\u00fang c\u00f3 c\u1ea3 \u0111\u1eb7c t\u00ednh \u0111\u00e0n h\u1ed3i (gi\u1ed1ng r\u1eafn, nh\u01b0 l\u00f2 xo) v\u00e0 nh\u1edbt (gi\u1ed1ng ch\u1ea5t l\u1ecfng). Ph\u1ea3n \u1ee9ng c\u1ee7a ch\u00fang v\u1edbi \u1ee9ng su\u1ea5t ph\u1ee5 thu\u1ed9c v\u00e0o th\u1eddi gian. Khi t\u1ea3i tr\u1ecdng \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng, ch\u00fang kh\u00f4ng bi\u1ebfn d\u1ea1ng ngay l\u1eadp t\u1ee9c. T\u00ednh ch\u1ea5t k\u00e9p n\u00e0y d\u1eabn \u0111\u1ebfn m\u1ed9t s\u1ed1 hi\u1ec7n t\u01b0\u1ee3ng ch\u00ednh:<\/p>\n<ul>\n<li>Ch\u1ea3y d\u1ea7n: Khi ch\u1ecbu t\u1ea3i tr\u1ecdng kh\u00f4ng \u0111\u1ed5i, v\u1eadt li\u1ec7u viscoelastic s\u1ebd ti\u1ebfp t\u1ee5c bi\u1ebfn d\u1ea1ng d\u1ea7n theo th\u1eddi gian. M\u1ed9t v\u00ed d\u1ee5 l\u00e0 k\u1ec7 nh\u1ef1a t\u1eeb t\u1eeb b\u1ecb v\u00f5ng xu\u1ed1ng d\u01b0\u1edbi tr\u1ecdng l\u01b0\u1ee3ng c\u1ee7a s\u00e1ch.<\/li>\n<li>Th\u01b0 gi\u00e3n \u1ee9ng su\u1ea5t: N\u1ebfu m\u1ed9t v\u1eadt li\u1ec7u viscoelastic \u0111\u01b0\u1ee3c k\u00e9o d\u00e0i \u0111\u1ebfn m\u1ed9t bi\u1ebfn d\u1ea1ng c\u1ed1 \u0111\u1ecbnh v\u00e0 gi\u1eef \u1edf \u0111\u00f3, \u1ee9ng su\u1ea5t n\u1ed9i b\u1ed9 c\u1ea7n \u0111\u1ec3 duy tr\u00ec bi\u1ebfn d\u1ea1ng \u0111\u00f3 s\u1ebd gi\u1ea3m theo th\u1eddi gian. \u0110\u00e2y l\u00e0 l\u00fd do t\u1ea1i sao d\u00e2y \u0111ai nh\u1ef1a c\u0103ng ch\u1eb7t c\u00f3 th\u1ec3 c\u1ea3m th\u1ea5y l\u1ecfng l\u1ebbo h\u01a1n sau v\u00e0i gi\u1edd.<\/li>\n<li>Hysteresis: Trong chu k\u1ef3 t\u1ea3i v\u00e0 th\u00e1o, v\u1eadt li\u1ec7u viscoelastic kh\u00f4ng theo c\u00f9ng m\u1ed9t \u0111\u01b0\u1eddng cong \u1ee9ng su\u1ea5t-bi\u1ebfn d\u1ea1ng. \u0110\u01b0\u1eddng th\u00e1o xu\u1ed1ng n\u1eb1m d\u01b0\u1edbi \u0111\u01b0\u1eddng t\u1ea3i l\u00ean, t\u1ea1o th\u00e0nh m\u1ed9t v\u00f2ng. Di\u1ec7n t\u00edch b\u00ean trong v\u00f2ng n\u00e0y bi\u1ec3u th\u1ecb n\u0103ng l\u01b0\u1ee3ng b\u1ecb m\u1ea5t d\u01b0\u1edbi d\u1ea1ng nhi\u1ec7t. T\u00ednh ch\u1ea5t n\u00e0y \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 gi\u1ea3m rung \u0111\u1ed9ng.<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/pixabay-503028.jpg\" height=\"853\" width=\"1280\" class=\"alignnone size-full wp-image-2734\" alt=\"D\u00e2y cao su \u0111\u00e0n h\u1ed3i \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong nhi\u1ec1u \u1ee9ng d\u1ee5ng c\u00f4ng nghi\u1ec7p v\u00e0 quy tr\u00ecnh s\u1ea3n xu\u1ea5t. Nh\u1eefng d\u00e2y \u0111a n\u0103ng n\u00e0y cung c\u1ea5p t\u00ednh linh ho\u1ea1t v\u00e0 s\u1ee9c m\u1ea1nh \u0111\u1ec3 \u0111\u00f3ng g\u00f3i, bu\u1ed9c ch\u1eb7t v\u00e0 c\u1ed1 \u0111\u1ecbnh c\u00e1c v\u1eadt d\u1ee5ng m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3.\" srcset=\"https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/pixabay-503028.jpg 1280w, https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/pixabay-503028-300x200.jpg 300w, https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/pixabay-503028-768x512.jpg 768w, https:\/\/productionscrews.com\/wp-content\/uploads\/2025\/10\/pixabay-503028-18x12.jpg 18w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/> <\/p>\n<h3>\u0110\u1eb7c t\u00ednh h\u01b0\u1edbng t\u00e2m<\/h3>\n<p>Ph\u1ea7n th\u1ea3o lu\u1eadn c\u1ee7a ch\u00fang ta cho \u0111\u1ebfn nay \u0111\u00e3 gi\u1ea3 \u0111\u1ecbnh r\u1eb1ng v\u1eadt li\u1ec7u l\u00e0 \u0111\u1ed3ng h\u01b0\u1edbng, ngh\u0129a l\u00e0 c\u00e1c \u0111\u1eb7c t\u00ednh c\u01a1 h\u1ecdc c\u1ee7a ch\u00fang gi\u1ed1ng nhau \u1edf m\u1ecdi h\u01b0\u1edbng. M\u1ed9t kh\u1ed1i th\u00e9p r\u1eafn c\u00f3 c\u00f9ng Modun Young d\u00f9 k\u00e9o theo chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng hay chi\u1ec1u cao. Tuy nhi\u00ean, nhi\u1ec1u v\u1eadt li\u1ec7u ti\u00ean ti\u1ebfn v\u00e0 t\u1ef1 nhi\u00ean l\u00e0 d\u1ecb h\u01b0\u1edbng: c\u00e1c \u0111\u1eb7c t\u00ednh c\u1ee7a ch\u00fang ph\u1ee5 thu\u1ed9c v\u00e0o h\u01b0\u1edbng \u0111o l\u01b0\u1eddng.<\/p>\n<p>V\u00ed d\u1ee5 \u0111i\u1ec3n h\u00ecnh l\u00e0 g\u1ed7, c\u00f3 \u0111\u1ed9 b\u1ec1n v\u00e0 \u0111\u1ed9 c\u1ee9ng cao h\u01a1n nhi\u1ec1u d\u1ecdc theo s\u1ee3i g\u1ed7 so v\u1edbi ngang qua n\u00f3. \u0110i\u1ec1u n\u00e0y do s\u1ef1 s\u1eafp x\u1ebfp c\u1ee7a c\u00e1c s\u1ee3i cellulose c\u1ee7a n\u00f3. <a href=\"https:\/\/productionscrews.com\/vi\/high-strength-bolts-steel-the-secret-force-behind-modern-engineering\/\"  data-wpil-monitor-id=\"606\" target=\"_blank\">K\u1ef9 thu\u1eadt hi\u1ec7n \u0111\u1ea1i<\/a> \u0111\u00e3 s\u1eed d\u1ee5ng nguy\u00ean t\u1eafc n\u00e0y m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3 trong c\u00e1c v\u1eadt li\u1ec7u composite. B\u1eb1ng c\u00e1ch nh\u00fang c\u00e1c s\u1ee3i c\u1ee9ng, ch\u1eafc ch\u1eafn (nh\u01b0 carbon ho\u1eb7c th\u1ee7y tinh) v\u00e0o trong m\u1ed9t ma tr\u1eadn polymer, c\u00e1c k\u1ef9 s\u01b0 c\u00f3 th\u1ec3 t\u1ea1o ra c\u00e1c v\u1eadt li\u1ec7u c\u00f3 \u0111\u1eb7c t\u00ednh ph\u00f9 h\u1ee3p cho m\u1ed9t \u1ee9ng d\u1ee5ng c\u1ee5 th\u1ec3. C\u00e1c s\u1ee3i \u0111\u01b0\u1ee3c \u0111\u1ecbnh h\u01b0\u1edbng theo h\u01b0\u1edbng c\u1ee7a c\u00e1c \u1ee9ng su\u1ea5t cao nh\u1ea5t d\u1ef1 ki\u1ebfn, t\u1ea1o th\u00e0nh c\u00e1c th\u00e0nh ph\u1ea7n c\u00f3 hi\u1ec7u su\u1ea5t v\u01b0\u1ee3t tr\u1ed9i trong m\u1ed9t h\u01b0\u1edbng trong khi v\u1eabn nh\u1eb9.<\/p>\n<h3>B\u1ea3ng 2: So s\u00e1nh c\u00e1c m\u00f4 h\u00ecnh \u0111\u00e0n h\u1ed3i c\u1ee7a v\u1eadt li\u1ec7u<\/h3>\n<p>B\u1ea3ng n\u00e0y t\u00f3m t\u1eaft c\u00e1c \u0111i\u1ec3m kh\u00e1c bi\u1ec7t ch\u00ednh gi\u1eefa ba m\u00f4 h\u00ecnh ch\u00ednh c\u1ee7a h\u00e0nh vi \u0111\u00e0n h\u1ed3i.<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"115\">M\u00f4 h\u00ecnh<\/td>\n<td width=\"115\">\u0110\u1eb7c \u0111i\u1ec3m ch\u00ednh<\/td>\n<td width=\"115\">Nguy\u00ean t\u1eafc \u0111i\u1ec1u ch\u1ec9nh<\/td>\n<td width=\"115\">V\u1eadt li\u1ec7u \u0111i\u1ec3n h\u00ecnh<\/td>\n<td width=\"115\">Hi\u1ec7n t\u01b0\u1ee3ng ch\u00ednh<\/td>\n<\/tr>\n<tr>\n<td width=\"115\">\u0110\u00e0n h\u1ed3i tuy\u1ebfn t\u00ednh<\/td>\n<td width=\"115\">Bi\u1ebfn d\u1ea1ng nh\u1ecf, \u1ee9ng su\u1ea5t-bi\u1ebfn d\u1ea1ng tuy\u1ebfn t\u00ednh<\/td>\n<td width=\"115\">\u0110\u1ecbnh lu\u1eadt Hooke<\/td>\n<td width=\"115\">Kim lo\u1ea1i, G\u1ed1m s\u1ee9 (trong gi\u1edbi h\u1ea1n)<\/td>\n<td width=\"115\">Bi\u1ebfn d\u1ea1ng \u0111\u1ea3o ng\u01b0\u1ee3c, kh\u00f4ng m\u1ea5t n\u0103ng l\u01b0\u1ee3ng<\/td>\n<\/tr>\n<tr>\n<td width=\"115\">Si\u00eau \u0111\u00e0n h\u1ed3i<\/td>\n<td width=\"115\">Bi\u1ebfn d\u1ea1ng l\u1edbn, \u1ee9ng su\u1ea5t- bi\u1ebfn d\u1ea1ng phi tuy\u1ebfn<\/td>\n<td width=\"115\">H\u00e0m n\u0103ng l\u01b0\u1ee3ng bi\u1ebfn d\u1ea1ng tr\u00ean \u0111\u01a1n v\u1ecb th\u1ec3 t\u00edch<\/td>\n<td width=\"115\">Cao su, Silic, T\u1ed5 ch\u1ee9c m\u1ec1m<\/td>\n<td width=\"115\">K\u00e9o d\u00e0i l\u1edbn ho\u00e0n to\u00e0n c\u00f3 th\u1ec3 \u0111\u1ea3o ng\u01b0\u1ee3c<\/td>\n<\/tr>\n<tr>\n<td width=\"115\">D\u1ebbo \u0111\u00e0n h\u1ed3i nh\u1edbt<\/td>\n<td width=\"115\">Bi\u1ebfn d\u1ea1ng ph\u1ee5 thu\u1ed9c th\u1eddi gian<\/td>\n<td width=\"115\">K\u1ebft h\u1ee3p c\u00e1c \u0111\u1ecbnh lu\u1eadt \u0111\u00e0n h\u1ed3i v\u00e0 nh\u1edbt<\/td>\n<td width=\"115\">Polymer, Gel, Nh\u1ef1a \u0111\u01b0\u1eddng<\/td>\n<td width=\"115\">Ch\u1ea3y creep, Th\u01b0 gi\u00e3n \u1ee9ng su\u1ea5t, Hysteresis<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&#8212;<\/p>\n<h2>\u0110i\u1ec1u G\u00ec X\u1ea3y Ra \u1ede M\u1ee9c \u0110 atomic<\/h2>\n<p>C\u00e1c \u0111\u1eb7c t\u00ednh \u0111\u00e0n h\u1ed3i quy m\u00f4 l\u1edbn c\u1ee7a v\u1eadt li\u1ec7u l\u00e0 k\u1ebft qu\u1ea3 tr\u1ef1c ti\u1ebfp c\u1ee7a c\u1ea5u tr\u00fac c\u1ee7a n\u00f3 \u1edf c\u1ea5p \u0111\u1ed9 nguy\u00ean t\u1eed v\u00e0 ph\u00e2n t\u1eed. Hi\u1ec3u c\u00e1c c\u01a1 ch\u1ebf nh\u1ecf b\u00e9 n\u00e0y cung c\u1ea5p c\u00e1i nh\u00ecn s\u00e2u s\u1eafc, c\u01a1 b\u1ea3n v\u1ec1 l\u00fd do t\u1ea1i sao c\u00e1c l\u1edbp v\u1eadt li\u1ec7u kh\u00e1c nhau l\u1ea1i ph\u1ea3n \u1ee9ng nh\u01b0 v\u1eady. \u0110\u1ed9 \u0111\u00e0n h\u1ed3i c\u1ee7a m\u1ed9t d\u1ea7m th\u00e9p v\u00e0 m\u1ed9t d\u00e2y cao su xu\u1ea5t ph\u00e1t t\u1eeb hai qu\u00e1 tr\u00ecnh v\u1eadt l\u00fd ho\u00e0n to\u00e0n kh\u00e1c nhau.<\/p>\n<h3>\u0110\u1ed9 \u0111\u00e0n h\u1ed3i c\u1ee7a v\u1eadt li\u1ec7u tinh th\u1ec3<\/h3>\n<p>Trong c\u00e1c v\u1eadt li\u1ec7u tinh th\u1ec3 nh\u01b0 kim lo\u1ea1i v\u00e0 g\u1ed1m s\u1ee9, c\u00e1c nguy\u00ean t\u1eed \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp theo m\u1ed9t m\u1eabu l\u1eb7p l\u1ea1i, c\u00f3 tr\u1eadt t\u1ef1 cao trong kh\u00f4ng gian ba chi\u1ec1u. C\u00e1c nguy\u00ean t\u1eed n\u00e0y \u0111\u01b0\u1ee3c gi\u1eef v\u1eefng v\u1ecb tr\u00ed b\u1edfi c\u00e1c li\u00ean k\u1ebft m\u1ea1nh gi\u1eefa c\u00e1c nguy\u00ean t\u1eed. Ch\u00fang ta c\u00f3 th\u1ec3 h\u00ecnh dung c\u1ea5u tr\u00fac n\u00e0y nh\u01b0 m\u1ed9t l\u01b0\u1edbi c\u1ee9ng, ba chi\u1ec1u c\u1ee7a c\u00e1c qu\u1ea3 b\u00f3ng (nguy\u00ean t\u1eed) \u0111\u01b0\u1ee3c k\u1ebft n\u1ed1i b\u1eb1ng c\u00e1c l\u00f2 xo m\u1ea1nh (li\u00ean k\u1ebft).<\/p>\n<p>Khi t\u00e1c d\u1ee5ng l\u1ef1c b\u00ean ngo\u00e0i, n\u00f3 g\u00e2y ra c\u00e1c li\u00ean k\u1ebft gi\u1eefa c\u00e1c nguy\u00ean t\u1eed n\u00e0y b\u1ecb k\u00e9o gi\u00e3n ho\u1eb7c n\u00e9n nh\u1eb9. Bi\u1ebfn d\u1ea1ng \u0111\u00e0n h\u1ed3i l\u00e0 k\u1ebft qu\u1ea3 t\u1eadp th\u1ec3 c\u1ee7a h\u00e0ng t\u1ef7 li\u00ean k\u1ebft n\u00e0y b\u1ecb d\u1ecbch chuy\u1ec3n kh\u1ecfi v\u1ecb tr\u00ed n\u0103ng l\u01b0\u1ee3ng th\u1ea5p nh\u1ea5t c\u1ee7a ch\u00fang. V\u1eadt li\u1ec7u ch\u1ed1ng l\u1ea1i bi\u1ebfn d\u1ea1ng n\u00e0y v\u00ec c\u00e1c l\u1ef1c \u0111i\u1ec7n m\u1ea1nh m\u1ebd k\u00e9o c\u00e1c nguy\u00ean t\u1eed tr\u1edf l\u1ea1i tr\u1ea1ng th\u00e1i c\u00e2n b\u1eb1ng c\u1ee7a ch\u00fang. \u0110\u1ed9 b\u1ec1n c\u1ee7a c\u00e1c li\u00ean k\u1ebft n\u00e0y gi\u1eefa c\u00e1c nguy\u00ean t\u1eed li\u00ean quan tr\u1ef1c ti\u1ebfp \u0111\u1ebfn Modun Young c\u1ee7a v\u1eadt li\u1ec7u. C\u00e1c v\u1eadt li\u1ec7u c\u00f3 li\u00ean k\u1ebft m\u1ea1nh h\u01a1n, nh\u01b0 g\u1ed1m s\u1ee9 v\u00e0 nhi\u1ec1u kim lo\u1ea1i, c\u00f3 modun cao h\u01a1n v\u00e0 do \u0111\u00f3 c\u1ee9ng h\u01a1n. Khi t\u1ea3i tr\u1ecdng b\u00ean ngo\u00e0i \u0111\u01b0\u1ee3c lo\u1ea1i b\u1ecf, c\u00e1c li\u00ean k\u1ebft k\u00e9o c\u00e1c nguy\u00ean t\u1eed tr\u1edf l\u1ea1i v\u1ecb tr\u00ed ban \u0111\u1ea7u, d\u1eabn \u0111\u1ebfn s\u1ef1 ph\u1ee5c h\u1ed3i h\u00ecnh d\u1ea1ng quy m\u00f4 l\u1edbn m\u00e0 ch\u00fang ta quan s\u00e1t th\u1ea5y nh\u01b0 l\u00e0 \u0111\u1ed9 \u0111\u00e0n h\u1ed3i.<\/p>\n<h3>\u0110\u1ed9 \u0111\u00e0n h\u1ed3i c\u1ee7a cao su (Polymer)<\/h3>\n<p>\u0110\u1ed9 \u0111\u00e0n h\u1ed3i c\u1ee7a c\u00e1c v\u1eadt li\u1ec7u m\u1ec1m nh\u01b0 cao su v\u00e0 c\u00e1c elastomer kh\u00e1c xu\u1ea5t ph\u00e1t t\u1eeb m\u1ed9t c\u01a1 ch\u1ebf ho\u00e0n to\u00e0n kh\u00e1c v\u00e0 ph\u1ee9c t\u1ea1p h\u01a1n. Nh\u1eefng v\u1eadt li\u1ec7u n\u00e0y g\u1ed3m c\u00e1c chu\u1ed7i polymer d\u00e0i, linh ho\u1ea1t, \u0111\u01b0\u1ee3c li\u00ean k\u1ebft ch\u00e9o v\u1edbi nhau \u0111\u1ec3 t\u1ea1o th\u00e0nh m\u1ed9t m\u1ea1ng l\u01b0\u1edbi. Trong tr\u1ea1ng th\u00e1i ngh\u1ec9, kh\u00f4ng ch\u1ecbu t\u00e1c d\u1ee5ng l\u1ef1c, m\u1ed7i chu\u1ed7i d\u00e0i n\u00e0y b\u1ecb cu\u1ed9n r\u1ed1i v\u00e0 m\u1eafc v\u00e0o nhau m\u1ed9t c\u00e1ch ng\u1eabu nhi\u00ean. T\u1eeb g\u00f3c \u0111\u1ed9 khoa h\u1ecdc, tr\u1ea1ng th\u00e1i r\u1ed1i r\u1eafm, kh\u00f4ng tr\u1eadt t\u1ef1 n\u00e0y th\u1ec3 hi\u1ec7n m\u1ed9t \u0111i\u1ec1u ki\u1ec7n entropy cao (m\u1ea5t tr\u1eadt t\u1ef1).<\/p>\n<p>Khi elastomer b\u1ecb k\u00e9o d\u00e0i, c\u00e1c chu\u1ed7i polymer cu\u1ed9n n\u00e0y b\u1ecb bu\u1ed9c ph\u1ea3i m\u1edf ra v\u00e0 c\u0103n ch\u1ec9nh theo h\u01b0\u1edbng c\u1ee7a l\u1ef1c t\u00e1c d\u1ee5ng. S\u1ef1 c\u0103n ch\u1ec9nh n\u00e0y t\u1ea1o ra m\u1ed9t tr\u1ea1ng th\u00e1i tr\u1eadt t\u1ef1 h\u01a1n, entropy th\u1ea5p h\u01a1n. C\u00e1c quy lu\u1eadt c\u01a1 b\u1ea3n c\u1ee7a khoa h\u1ecdc quy \u0111\u1ecbnh r\u1eb1ng m\u1ed9t h\u1ec7 th\u1ed1ng lu\u00f4n c\u00f3 xu h\u01b0\u1edbng ti\u1ebfn t\u1edbi tr\u1ea1ng th\u00e1i entropy t\u1ed1i \u0111a (m\u1ea5t tr\u1eadt t\u1ef1 t\u1ed1i \u0111a). Do \u0111\u00f3, m\u1ed9t l\u1ef1c ph\u1ee5c h\u1ed3i m\u1ea1nh m\u1ebd \u0111\u01b0\u1ee3c sinh ra kh\u00f4ng ch\u1ee7 y\u1ebfu t\u1eeb vi\u1ec7c k\u00e9o d\u00e0i c\u00e1c li\u00ean k\u1ebft h\u00f3a h\u1ecdc, m\u00e0 t\u1eeb xu h\u01b0\u1edbng th\u1ed1ng k\u00ea c\u1ee7a c\u00e1c chu\u1ed7i \u0111\u1ec3 tr\u1edf v\u1ec1 tr\u1ea1ng th\u00e1i c\u00f3 kh\u1ea3 n\u0103ng cao h\u01a1n, cu\u1ed9n r\u1ed1i, entropy cao h\u01a1n. Hi\u1ec7n t\u01b0\u1ee3ng n\u00e0y \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u0111\u00e0n h\u1ed3i entropy. Ch\u00ednh \u0111\u1ed9ng l\u1ef1c entropy n\u00e0y, ch\u1ee9 kh\u00f4ng ph\u1ea3i n\u0103ng l\u01b0\u1ee3ng li\u00ean k\u1ebft nguy\u00ean t\u1eed, \u0111\u00e3 gi\u00fap cao su c\u00f3 kh\u1ea3 n\u0103ng bi\u1ebfn d\u1ea1ng \u0111\u00e0n h\u1ed3i l\u1edbn \u0111\u00e1ng k\u1ec3.<\/p>\n<p>&#8212;<\/p>\n<h2>V\u1eadt li\u1ec7u \u0111\u00e0n h\u1ed3i trong k\u1ef9 thu\u1eadt<\/h2>\n<p>Gi\u00e1 tr\u1ecb th\u1ef1c s\u1ef1 c\u1ee7a vi\u1ec7c hi\u1ec3u bi\u1ebft v\u1ec1 \u0111\u1ed9 \u0111\u00e0n h\u1ed3i n\u1eb1m \u1edf ch\u1ed7 <a href=\"https:\/\/productionscrews.com\/vi\/ultimate-guide-spring-steel-properties-and-engineering-applications-2024\/\"  data-wpil-monitor-id=\"612\" target=\"_blank\">\u1ee9ng d\u1ee5ng \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c th\u00e1ch th\u1ee9c k\u1ef9 thu\u1eadt th\u1ef1c t\u1ebf.<\/a> B\u1eb1ng c\u00e1ch ch\u1ecdn v\u1eadt li\u1ec7u d\u1ef1a tr\u00ean c\u00e1c \u0111\u1eb7c t\u00ednh \u0111\u00e0n h\u1ed3i c\u1ee5 th\u1ec3\u2014d\u00f9 l\u00e0 tuy\u1ebfn t\u00ednh, si\u00eau \u0111\u00e0n h\u1ed3i hay d\u1ecb h\u01b0\u1edbng\u2014c\u00e1c k\u1ef9 s\u01b0 c\u00f3 th\u1ec3 thi\u1ebft k\u1ebf c\u00e1c th\u00e0nh ph\u1ea7n v\u00e0 h\u1ec7 th\u1ed1ng v\u1edbi hi\u1ec7u su\u1ea5t ch\u01b0a t\u1eebng c\u00f3. C\u00e1c nghi\u00ean c\u1ee9u \u0111i\u1ec3n h\u00ecnh sau \u0111\u00e2y minh h\u1ecda c\u00e1ch ki\u1ebfn th\u1ee9c s\u00e2u v\u1ec1 \u0111\u1ed9 \u0111\u00e0n h\u1ed3i \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng trong c\u00e1c l\u0129nh v\u1ef1c hi\u1ec7u su\u1ea5t cao.<\/p>\n<h3>Nghi\u00ean c\u1ee9u \u0111i\u1ec3n h\u00ecnh 1: H\u00e0ng kh\u00f4ng v\u0169 tr\u1ee5 v\u00e0 D\u1ecb h\u01b0\u1edbng<\/h3>\n<p>M\u00e1y bay hi\u1ec7n \u0111\u1ea1i, nh\u01b0 Boeing 787 v\u00e0 Airbus A350, d\u1ef1a nhi\u1ec1u v\u00e0o Polymer gia c\u01b0\u1eddng s\u1ee3i carbon (CFRPs) cho c\u00e1c c\u1ea5u tr\u00fac ch\u00ednh c\u1ee7a ch\u00fang, bao g\u1ed3m c\u00e1nh v\u00e0 ph\u1ea7n th\u00e2n. Ch\u00eca kh\u00f3a th\u00e0nh c\u00f4ng c\u1ee7a ch\u00fang n\u1eb1m \u1edf nguy\u00ean t\u1eafc d\u1ecb h\u01b0\u1edbng. CFRPs l\u00e0 v\u1eadt li\u1ec7u composite trong \u0111\u00f3 s\u1ee3i carbon c\u00f3 \u0111\u1ed9 b\u1ec1n cao \u0111\u01b0\u1ee3c nh\u00fang trong m\u1ed9t ma tr\u1eadn polymer. C\u00e1c k\u1ef9 s\u01b0 c\u00f3 th\u1ec3 \u0111\u1ecbnh h\u01b0\u1edbng chi\u1ebfn l\u01b0\u1ee3c c\u00e1c s\u1ee3i n\u00e0y \u0111\u1ec3 ph\u00f9 h\u1ee3p v\u1edbi c\u00e1c \u0111\u01b0\u1eddng t\u1ea3i tr\u1ecdng ch\u00ednh trong th\u00e0nh ph\u1ea7n. \u0110\u1ed1i v\u1edbi d\u1ea7m c\u00e1nh m\u00e1y bay, \u0111i\u1ec1u n\u00e0y c\u00f3 ngh\u0129a l\u00e0 c\u0103n ch\u1ec9nh ph\u1ea7n l\u1edbn c\u00e1c s\u1ee3i theo chi\u1ec1u d\u00e0i c\u1ee7a n\u00f3, n\u01a1i ch\u1ecbu l\u1ef1c u\u1ed1n cao nh\u1ea5t. \u0110i\u1ec1u n\u00e0y t\u1ea1o ra m\u1ed9t b\u1ed9 ph\u1eadn c\u1ef1c k\u1ef3 c\u1ee9ng v\u00e0 ch\u1eafc ch\u1eafn \u1edf n\u01a1i c\u1ea7n thi\u1ebft, nh\u01b0ng tr\u00e1nh mang tr\u1ecdng l\u01b0\u1ee3ng kh\u00f4ng c\u1ea7n thi\u1ebft \u1edf c\u00e1c h\u01b0\u1edbng kh\u00e1c. \u0110\u1ed9 c\u1ee9ng t\u00f9y ch\u1ec9nh n\u00e0y cho ph\u00e9p thi\u1ebft k\u1ebf m\u00e1y bay nh\u1eb9 h\u01a1n, ti\u1ebft ki\u1ec7m nhi\u00ean li\u1ec7u h\u01a1n. Th\u1ef1c t\u1ebf, CFRPs c\u00f3 th\u1ec3 c\u00f3 t\u1ef7 l\u1ec7 \u0111\u1ed9 c\u1ee9ng tr\u00ean tr\u1ecdng l\u01b0\u1ee3ng g\u1ea5p t\u1edbi 5 l\u1ea7n h\u1ee3p kim nh\u00f4m, m\u1ed9t l\u1ee3i th\u1ebf mang t\u00ednh c\u00e1ch m\u1ea1ng trong h\u00e0ng kh\u00f4ng v\u0169 tr\u1ee5.<\/p>\n<h3>Nghi\u00ean c\u1ee9u \u0111i\u1ec3n h\u00ecnh 2: Y h\u1ecdc v\u00e0 Si\u00eau \u0111\u00e0n h\u1ed3i<\/h3>\n<p>Trong l\u0129nh v\u1ef1c thi\u1ebft b\u1ecb y t\u1ebf, Nitinol, h\u1ee3p kim Nickel-Titanium, \u0111\u00e3 c\u00e1ch m\u1ea1ng h\u00f3a ph\u1eabu thu\u1eadt x\u00e2m l\u1ea5n t\u1ed1i thi\u1ec3u. Nitinol th\u1ec3 hi\u1ec7n m\u1ed9t \u0111\u1eb7c t\u00ednh g\u1ecdi l\u00e0 si\u00eau \u0111\u00e0n h\u1ed3i, m\u1ed9t d\u1ea1ng \u0111\u1eb7c bi\u1ec7t c\u1ee7a \u0111\u1ed9 \u0111\u00e0n h\u1ed3i si\u00eau. N\u00f3 c\u00f3 th\u1ec3 ch\u1ecbu \u0111\u1ef1ng bi\u1ebfn d\u1ea1ng l\u1edbn r\u1ed3i tr\u1edf l\u1ea1i h\u00ecnh d\u1ea1ng ban \u0111\u1ea7u \u0111\u00e3 \u0111\u01b0\u1ee3c ghi nh\u1edb. \u0110i\u1ec1u n\u00e0y khi\u1ebfn n\u00f3 tr\u1edf th\u00e0nh v\u1eadt li\u1ec7u l\u00fd t\u01b0\u1edfng cho c\u00e1c stent tim m\u1ea1ch. M\u1ed9t stent Nitinol c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1ea3n xu\u1ea5t \u1edf d\u1ea1ng cu\u1ed1i c\u00f9ng \u0111\u00e3 m\u1edf r\u1ed9ng. Sau \u0111\u00f3, n\u00f3 \u0111\u01b0\u1ee3c l\u00e0m m\u00e1t v\u00e0 n\u00e9n xu\u1ed1ng \u0111\u01b0\u1eddng k\u00ednh nh\u1ecf \u0111\u1ec3 lu\u1ed3n qua catheter v\u00e0o \u0111\u1ed9ng m\u1ea1ch b\u1ecb t\u1eafc. Khi \u0111\u1ebfn v\u1ecb tr\u00ed m\u1ee5c ti\u00eau v\u00e0 \u1ea5m l\u00ean \u0111\u1ebfn nhi\u1ec7t \u0111\u1ed9 c\u01a1 th\u1ec3, n\u00f3 s\u1eed d\u1ee5ng c\u00e1c \u0111\u1eb7c t\u00ednh si\u00eau \u0111\u00e0n h\u1ed3i \u0111\u1ec3 m\u1edf r\u1ed9ng v\u1edbi l\u1ef1c nh\u1eb9 nh\u00e0ng, li\u00ean t\u1ee5c, gi\u1eef cho \u0111\u1ed9ng m\u1ea1ch m\u1edf. Kh\u1ea3 n\u0103ng x\u1eed l\u00fd bi\u1ebfn d\u1ea1ng l\u1edbn m\u00e0 kh\u00f4ng g\u00e2y t\u1ed5n th\u01b0\u01a1ng v\u0129nh vi\u1ec5n c\u1ee7a n\u00f3 l\u00e0 r\u1ea5t quan tr\u1ecdng. Th\u1ef1c t\u1ebf, c\u00e1c stent Nitinol c\u00f3 th\u1ec3 th\u00edch \u1ee9ng v\u1edbi bi\u1ebfn d\u1ea1ng c\u00f3 th\u1ec3 \u0111\u1ea3o ng\u01b0\u1ee3c l\u00ean t\u1edbi 8%, v\u01b0\u1ee3t xa gi\u1edbi h\u1ea1n \u0111\u00e0n h\u1ed3i d\u01b0\u1edbi 1% c\u1ee7a c\u00e1c kim lo\u1ea1i truy\u1ec1n th\u1ed1ng nh\u01b0 <a href=\"https:\/\/productionscrews.com\/vi\/ultimate-guide-stainless-steel-bar-selection-prevent-costly-mistakes-failures\/\"  data-wpil-monitor-id=\"609\" target=\"_blank\">th\u00e9p kh\u00f4ng g\u1ec9<\/a>.<\/p>\n<h3>Nghi\u00ean c\u1ee9u \u0111i\u1ec3n h\u00ecnh 3: C\u00f4ng ngh\u1ec7 ti\u00eau d\u00f9ng v\u00e0 Tr\u1ec5 \u0111\u00e0n h\u1ed3i<\/h3>\n<p>C\u00e1c nguy\u00ean l\u00fd c\u1ee7a \u0111\u1ed9 \u0111\u00e0n h\u1ed3i ti\u00ean ti\u1ebfn kh\u00f4ng ch\u1ec9 gi\u1edbi h\u1ea1n trong h\u00e0ng kh\u00f4ng v\u0169 tr\u1ee5 v\u00e0 y h\u1ecdc; ch\u00fang c\u00f2n n\u1eb1m d\u01b0\u1edbi ch\u00e2n ch\u00fang ta. Gi\u00e0y ch\u1ea1y hi\u1ec7u su\u1ea5t cao hi\u1ec7n \u0111\u1ea1i s\u1eed d\u1ee5ng c\u00e1c lo\u1ea1i foam tr\u1ec5 \u0111\u00e0n h\u1ed3i \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf k\u1ef9 l\u01b0\u1ee1ng trong \u0111\u1ebf gi\u1eefa. C\u00e1c v\u1eadt li\u1ec7u nh\u01b0 cao su nhi\u1ec7t d\u1ebbo (v\u00ed d\u1ee5, foam d\u1ef1a tr\u00ean PEBA) \u0111\u01b0\u1ee3c \u0111i\u1ec1u ch\u1ec9nh \u0111\u1ec3 cung c\u1ea5p ph\u1ea3n \u1ee9ng tr\u1ec5 \u0111\u00e0n h\u1ed3i c\u1ee5 th\u1ec3. Khi ch\u00e2n ng\u01b0\u1eddi ch\u1ea1y ch\u1ea1m \u0111\u1ea5t, v\u1eadt li\u1ec7u \u0111\u1ebf gi\u1eefa ph\u1ea3i th\u1ef1c hi\u1ec7n hai ch\u1ee9c n\u0103ng. Th\u1ee9 nh\u1ea5t, n\u00f3 ph\u1ea3i n\u00e9n v\u00e0 h\u1ea5p th\u1ee5 n\u0103ng l\u01b0\u1ee3ng \u0111\u1ec3 gi\u1ea3m s\u1ed1c, b\u1ea3o v\u1ec7 c\u00e1c kh\u1edbp c\u1ee7a ng\u01b0\u1eddi ch\u1ea1y. Vi\u1ec7c gi\u1ea3m ch\u1ea5n n\u00e0y l\u00e0 m\u1ed9t \u1ee9ng d\u1ee5ng tr\u1ef1c ti\u1ebfp c\u1ee7a c\u00e1c \u0111\u1eb7c t\u00ednh nh\u1edbt c\u1ee7a v\u1eadt li\u1ec7u (hysteresis). Th\u1ee9 hai, n\u00f3 ph\u1ea3i tr\u1ea3 l\u1ea1i m\u1ed9t ph\u1ea7n n\u0103ng l\u01b0\u1ee3ng \u0111\u00f3 cho ng\u01b0\u1eddi ch\u1ea1y trong giai \u0111o\u1ea1n \u0111\u1ea9y ch\u00e2n, t\u1ea1o ra hi\u1ec7u \u1ee9ng \u201cn\u1ea3y l\u1ea1i\u201d gi\u00fap c\u1ea3i thi\u1ec7n hi\u1ec7u qu\u1ea3 ch\u1ea1y. \u0110\u00e2y l\u00e0 ph\u1ea3n \u1ee9ng \u0111\u00e0n h\u1ed3i c\u1ee7a v\u1eadt li\u1ec7u. B\u1eb1ng c\u00e1ch ch\u00ednh x\u00e1c \u0111i\u1ec1u ch\u1ec9nh c\u00e2n b\u1eb1ng gi\u1eefa gi\u1ea3m ch\u1ea5n v\u00e0 ph\u1ea3n h\u1ed3i, c\u00e1c nh\u00e0 thi\u1ebft k\u1ebf gi\u00e0y c\u00f3 th\u1ec3 t\u1ea1o ra s\u1ea3n ph\u1ea9m v\u1eeba b\u1ea3o v\u1ec7 v\u1eeba hi\u1ec7u qu\u1ea3 cao, m\u1ed9t \u1ee9ng d\u1ee5ng tr\u1ef1c ti\u1ebfp c\u1ee7a c\u00e1c nguy\u00ean l\u00fd tr\u1ec5 \u0111\u00e0n h\u1ed3i.<\/p>\n<h3>B\u1ea3ng 3: Ph\u00e2n t\u00edch V\u1eadt li\u1ec7u \u0110\u00e0n h\u1ed3i trong \u1ee8ng d\u1ee5ng<\/h3>\n<p>B\u1ea3ng n\u00e0y t\u00f3m t\u1eaft m\u1ed1i li\u00ean h\u1ec7 quan tr\u1ecdng gi\u1eefa v\u1eadt li\u1ec7u, \u0111\u1eb7c t\u00ednh ch\u00ednh c\u1ee7a n\u00f3 v\u00e0 l\u1ee3i \u00edch k\u1ef9 thu\u1eadt trong t\u1eebng nghi\u00ean c\u1ee9u \u0111i\u1ec3n h\u00ecnh.<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"144\">\u1ee8ng d\u1ee5ng<\/td>\n<td width=\"144\">V\u00ed d\u1ee5 V\u1eadt li\u1ec7u<\/td>\n<td width=\"144\">\u0110\u1eb7c t\u00ednh \u0110\u00e0n h\u1ed3i Ch\u00ednh \u0111\u01b0\u1ee3c S\u1eed d\u1ee5ng<\/td>\n<td width=\"144\">L\u1ee3i \u00edch K\u1ef9 thu\u1eadt Quan tr\u1ecdng<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">D\u1ea7m c\u00e1nh m\u00e1y bay<\/td>\n<td width=\"144\">Polymer gia c\u01b0\u1eddng s\u1ee3i carbon (CFRP)<\/td>\n<td width=\"144\">D\u1ecb h\u01b0\u1edbng<\/td>\n<td width=\"144\">T\u1ef7 l\u1ec7 \u0111\u1ed9 c\u1ee9ng tr\u00ean tr\u1ecdng l\u01b0\u1ee3ng cao; \u0111\u1ed9 b\u1ec1n t\u1ed1i \u01b0u<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Stent tim m\u1ea1ch<\/td>\n<td width=\"144\">Nitinol (H\u1ee3p kim Ni-Ti)<\/td>\n<td width=\"144\">Si\u00eau \u0111\u00e0n h\u1ed3i (Hyperelasticity)<\/td>\n<td width=\"144\">T\u1ef1 m\u1edf r\u1ed9ng sau khi tri\u1ec3n khai; ch\u1ed1ng g\u1eadp<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Gi\u00e0y ch\u1ea1y b\u1ed9 hi\u1ec7u su\u1ea5t cao<\/td>\n<td width=\"144\">Polyme \u0111\u00e0n h\u1ed3i nhi\u1ec7t d\u1ebbo (v\u00ed d\u1ee5: PEBA)<\/td>\n<td width=\"144\">D\u1ebbo \u0111\u00e0n h\u1ed3i nh\u1edbt<\/td>\n<td width=\"144\">H\u1ea5p th\u1ee5 va \u0111\u1eadp (gi\u1ea3m ch\u1ea5n) v\u00e0 tr\u1ea3 l\u1ea1i n\u0103ng l\u01b0\u1ee3ng (\u0111\u1ea9y lui)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&#8212;<\/p>\n<h2>K\u1ebft lu\u1eadn: Vai tr\u00f2 n\u1ec1n t\u1ea3ng c\u1ee7a \u0111\u00e0n h\u1ed3i<\/h2>\n<p>H\u00e0nh tr\u00ecnh k\u1ef9 thu\u1eadt c\u1ee7a ch\u00fang t\u00f4i \u0111\u00e3 \u0111\u01b0a ch\u00fang t\u00f4i t\u1eeb c\u00e1c quy lu\u1eadt c\u01a1 b\u1ea3n v\u1ec1 \u1ee9ng su\u1ea5t v\u00e0 bi\u1ebfn d\u1ea1ng \u0111\u1ebfn c\u00e1c h\u00e0nh vi ph\u1ee9c t\u1ea1p, tinh vi x\u00e1c \u0111\u1ecbnh c\u00e1c v\u1eadt li\u1ec7u ti\u00ean ti\u1ebfn. Ch\u00fang t\u00f4i b\u1eaft \u0111\u1ea7u v\u1edbi kh\u1ea3 n\u0103ng d\u1ef1 \u0111o\u00e1n tuy\u1ebfn t\u00ednh c\u1ee7a \u0110\u1ecbnh lu\u1eadt Hooke, \u0111o \u0111\u1ed9 c\u1ee9ng v\u00e0 bi\u1ebfn d\u1ea1ng b\u1eb1ng c\u00e1c m\u00f4-\u0111un \u0111\u00e0n h\u1ed3i, r\u1ed3i kh\u00e1m ph\u00e1 c\u00e1c \u0111\u1eb7c t\u00ednh phi tuy\u1ebfn, ph\u1ee5 thu\u1ed9c th\u1eddi gian v\u00e0 h\u01b0\u1edbng c\u1ee7a hyperelasticity, viscoelasticity, v\u00e0 t\u00ednh d\u1ecb h\u01b0\u1edbng. Cu\u1ed1i c\u00f9ng, ch\u00fang t\u00f4i th\u1ea5y c\u00e1c nguy\u00ean l\u00fd n\u00e0y \u0111\u01b0\u1ee3c th\u1ec3 hi\u1ec7n r\u00f5 n\u00e9t trong c\u00e1c \u1ee9ng d\u1ee5ng ti\u00ean ti\u1ebfn, t\u1eeb b\u1ea7u tr\u1eddi \u0111\u1ebfn c\u01a1 th\u1ec3 con ng\u01b0\u1eddi.<\/p>\n<p>Kh\u00e1m ph\u00e1 n\u00e0y nh\u1ea5n m\u1ea1nh m\u1ed9t ch\u00e2n l\u00fd trung t\u00e2m: hi\u1ec3u bi\u1ebft k\u1ef9 thu\u1eadt s\u00e2u s\u1eafc v\u1ec1 v\u1eadt li\u1ec7u \u0111\u00e0n h\u1ed3i kh\u00f4ng ch\u1ec9 l\u00e0 m\u1ed9t b\u00e0i t\u1eadp h\u1ecdc thu\u1eadt. N\u00f3 l\u00e0 m\u1ed9t y\u00eau c\u1ea7u c\u01a1 b\u1ea3n cho \u0111\u1ed5i m\u1edbi s\u00e1ng t\u1ea1o. Kh\u1ea3 n\u0103ng d\u1ef1 \u0111o\u00e1n, ki\u1ec3m so\u00e1t v\u00e0 thao t\u00e1c c\u00e1ch v\u1eadt li\u1ec7u ph\u1ea3n \u1ee9ng v\u1edbi l\u1ef1c l\u00e0 \u0111i\u1ec1u gi\u00fap c\u00e1c k\u1ef9 s\u01b0 x\u00e2y d\u1ef1ng c\u00e1c c\u1ea5u tr\u00fac an to\u00e0n h\u01a1n, m\u00e1y m\u00f3c hi\u1ec7u qu\u1ea3 h\u01a1n v\u00e0 c\u00f4ng ngh\u1ec7 c\u1ee9u m\u1ea1ng. \u0110\u00e0n h\u1ed3i l\u00e0, v\u00e0 s\u1ebd v\u1eabn l\u00e0, m\u1ed9t n\u1ec1n t\u1ea3ng c\u1ee7a h\u1ea7u h\u1ebft c\u00e1c l\u0129nh v\u1ef1c khoa h\u1ecdc v\u00e0 k\u1ef9 thu\u1eadt.<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li class=\"whitespace-normal break-words\"><strong>ASTM Qu\u1ed1c t\u1ebf \u2013 Ki\u1ec3m tra v\u1eadt li\u1ec7u &amp; Ti\u00eau chu\u1ea9n<\/strong> <a class=\"underline\" href=\"https:\/\/www.astm.org\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.astm.org\/<\/a><\/li>\n<li class=\"whitespace-normal break-words\"><strong>Hi\u1ec7p h\u1ed9i Th\u00f4ng tin V\u1eadt li\u1ec7u ASM Qu\u1ed1c t\u1ebf<\/strong> <a class=\"underline\" href=\"https:\/\/www.asminternational.org\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.asminternational.org\/<\/a><\/li>\n<li class=\"whitespace-normal break-words\"><strong>Hi\u1ec7p h\u1ed9i K\u1ef9 s\u01b0 Nh\u1ef1a (SPE)<\/strong> <a class=\"underline\" href=\"https:\/\/www.4spe.org\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.4spe.org\/<\/a><\/li>\n<li class=\"whitespace-normal break-words\"><strong>Ti\u00eau chu\u1ea9n V\u1eadt li\u1ec7u &amp; K\u1ef9 thu\u1eadt c\u1ee7a SAE Qu\u1ed1c t\u1ebf<\/strong> <a class=\"underline\" href=\"https:\/\/www.sae.org\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.sae.org\/<\/a><\/li>\n<li class=\"whitespace-normal break-words\"><strong>ISO \u2013 T\u1ed5 ch\u1ee9c Ti chu\u1ea9n h\u00f3a Qu\u1ed1c t\u1ebf<\/strong> <a class=\"underline\" href=\"https:\/\/www.iso.org\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.iso.org\/<\/a><\/li>\n<li class=\"whitespace-normal break-words\"><strong>ASME \u2013 Hi\u1ec7p h\u1ed9i K\u1ef9 s\u01b0 C\u01a1 kh\u00ed Hoa K\u1ef3<\/strong> <a class=\"underline\" href=\"https:\/\/www.asme.org\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.asme.org\/<\/a><\/li>\n<li class=\"whitespace-normal break-words\"><strong>Hi\u1ec7p h\u1ed9i Kho\u00e1ng s\u1ea3n, Kim lo\u1ea1i &amp; V\u1eadt li\u1ec7u (TMS)<\/strong> <a class=\"underline\" href=\"https:\/\/www.tms.org\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.tms.org\/<\/a><\/li>\n<li class=\"whitespace-normal break-words\"><strong>Khoa h\u1ecdc &amp; K\u1ef9 thu\u1eadt V\u1eadt li\u1ec7u \u2013 ScienceDirect<\/strong> <a class=\"underline\" href=\"https:\/\/www.sciencedirect.com\/topics\/materials-science\" target=\"_blank\" rel=\"noopener\">https:\/\/www.sciencedirect.com\/topics\/materials-science<\/a><\/li>\n<li class=\"whitespace-normal break-words\"><strong>NIST \u2013 Vi\u1ec7n Ti\u00eau chu\u1ea9n v\u00e0 C\u00f4ng ngh\u1ec7 Qu\u1ed1c gia<\/strong> <a class=\"underline\" href=\"https:\/\/www.nist.gov\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.nist.gov\/<\/a><\/li>\n<li class=\"whitespace-normal break-words\"><strong>H\u1ed9p c\u00f4ng c\u1ee5 k\u1ef9 thu\u1eadt \u2013 T\u00e0i nguy\u00ean &amp; D\u1eef li\u1ec7u k\u1ef9 thu\u1eadt<\/strong> <a class=\"underline\" href=\"https:\/\/www.engineeringtoolbox.com\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.engineeringtoolbox.com\/<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>Understanding Elastic Materials: How They Work and Why They Matter Elasticity is a basic property that lets a material bend or stretch under force and then return to its original shape when the force is removed. This is what engineers and scientists use to create everything from large bridges to tiny medical devices. This behavior [&hellip;]<\/p>","protected":false},"author":1,"featured_media":2736,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[25],"tags":[],"class_list":["post-2733","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-high-speed-rail-track-fasteners"],"_links":{"self":[{"href":"https:\/\/productionscrews.com\/vi\/wp-json\/wp\/v2\/posts\/2733","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/productionscrews.com\/vi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/productionscrews.com\/vi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/productionscrews.com\/vi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/productionscrews.com\/vi\/wp-json\/wp\/v2\/comments?post=2733"}],"version-history":[{"count":3,"href":"https:\/\/productionscrews.com\/vi\/wp-json\/wp\/v2\/posts\/2733\/revisions"}],"predecessor-version":[{"id":2891,"href":"https:\/\/productionscrews.com\/vi\/wp-json\/wp\/v2\/posts\/2733\/revisions\/2891"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/productionscrews.com\/vi\/wp-json\/wp\/v2\/media\/2736"}],"wp:attachment":[{"href":"https:\/\/productionscrews.com\/vi\/wp-json\/wp\/v2\/media?parent=2733"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/productionscrews.com\/vi\/wp-json\/wp\/v2\/categories?post=2733"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/productionscrews.com\/vi\/wp-json\/wp\/v2\/tags?post=2733"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}