{"id":8883,"date":"2023-05-02T23:59:54","date_gmt":"2023-05-02T15:59:54","guid":{"rendered":"https:\/\/www.andrewsun.net\/panta_rhei\/?p=8883"},"modified":"2023-05-02T23:59:54","modified_gmt":"2023-05-02T15:59:54","slug":"%e5%86%8d%e8%b0%88%e6%b5%81%e5%8f%98%e5%ad%a6%e7%9a%84%e6%8c%af%e8%8d%a1%e5%89%aa%e5%88%87%e6%b5%8b%e8%af%95%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/8883","title":{"rendered":"\u518d\u8c08\u6d41\u53d8\u5b66\u7684\u632f\u8361\u526a\u5207\u6d4b\u8bd5\u65b9\u6cd5"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"8883\">\n\n<p>\u6211\u57282009\u5e74\uff0c\u8fd8\u662f\u535a\u58eb\u751f\u7684\u65f6\u5019\uff0c\u5728\u8fd9\u91cc\u53d1\u8868\u8fc7\u5173\u4e8eWladimir Philippoff\u7684\u6587\u7ae0\uff0c\u6807\u9898\u662f\u4e00\u4e2a\u95ee\u7b54\uff1a<a href=\"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/646\" data-type=\"post\" data-id=\"646\">\u300a\u8c01\u6700\u5148\u5bf9\u6750\u6599\u65bd\u52a0\u6b63\u5f26\u5f62\u53d8\uff1fW. Philippoff\u3002\u300b<\/a>\u5f53\u65f6\u6211\u5f88\u6709\u81ea\u4fe1\uff0c\u8fd9\u4e2a\u7b54\u6848\u662f\u5bf9\u7684\u3002<\/p>\n\n\n\n<p>\u6d41\u53d8\u5b66\u7684\u5148\u9a71\u4e4b\u4e00R. Bird\u548c\u5927\u5e45\u632f\u8361\u526a\u5207\u7684\u4e3b\u8981\u63a8\u5e7f\u8005A. Giacomin\u57282012\u5e74\u53d1\u8868\u8fc7\u4e00\u4e2a\u6709\u5173\u7c7b\u4f3c\u95ee\u9898\u7684\u6587\u7ae0\uff1a\u8c01\u5148\u6784\u601d\u201c\u590d\u6570\u7c98\u5ea6\u201d\u7684 \u3002\u7b54\u6848\u662f\u53e6\u4e00\u4f4d\u5b66\u8005<a rel=\"noreferrer noopener\" href=\"https:\/\/en.wikipedia.org\/wiki\/Andrew_Gemant\" target=\"_blank\">Andrew Gemant<\/a>\u3002<\/p>\n\n\n\n<p>\u6211\u524d\u51e0\u5e74\u66fe\u8ba4\u771f\u56de\u987e\u8fc7\u7c98\u5f39\u6027\u7814\u7a76\u7684\u5386\u53f2\u3002\u53ef\u4ee5\u8bf4\uff0c\u4eba\u4eec\u5bf9\u6750\u6599\u7684\u7c98\u5f39\u6027\u7684\u8ba4\u8bc6\uff0c\u5728\u6700\u521d\u7684\u65f6\u5019\uff08Weber 1951\uff09\u6bd4\u73b0\u5728\u7406\u89e3\u5f97\u6df1\u3002\u56e0\u4e3a\u5f53\u65f6\u5173\u4e8e\u4e07\u7269\u7684\u4e00\u822c\u7406\u8bba\u2014\u2014\u70ed\u529b\u5b66\u7684\u8ba4\u8bc6\u8fd8\u5904\u4e8e\u8fdb\u884c\u65f6\u3002\u6240\u4ee5\u5bf9\u6750\u6599\u7684\u7c98\u5f39\u6027\u73b0\u8c61\u7684\u8ba4\u8bc6\u5145\u6ee1\u4e86\u6700\u539f\u59cb\u7684\u70ed\u529b\u5b66\u548c\u6d4b\u91cf\u5b66\u601d\u8003\u3002\u4eca\u5929\u53cd\u5012\u5927\u90e8\u5206\u201c\u6d41\u53d8\u5b66\u5b66\u5f92\u201d\u4eec\u672a\u5fc5\u610f\u8bc6\u5230\uff0c\u4f5c\u4e3a\u6750\u6599\u7684\u529b\u5b66\u54cd\u5e94\u7684\u7c98\u5f39\u6027\uff0c\u5728\u70ed\u529b\u5b66\u548c\u6d4b\u91cf\u5b66\u5c42\u9762\u4e0a\u7684\u5177\u6709\u666e\u904d\u610f\u4e49\u3002<\/p>\n\n\n\n<p>\u5c3d\u7ba1\u76f8\u5173\u7684\u7406\u8bba\u57fa\u7840\uff08\u6bd4\u5982\u6da8\u843d-\u8017\u6563\u5b9a\u7406\u3001Green\u2013Kubo\u5173\u7cfb\uff09\u523020\u4e16\u7eaa\u624d\u5b8c\u5584\uff0c\u4f46\u4ece\u4f53\u7cfb\u7684\u70ed\u529b\u5b66\u5e73\u8861\u6001\u6027\u8d28\u7684\u6d4b\u91cf\u95ee\u9898\u7684\u9ad8\u5ea6\u6765\u8003\u8651\u7c98\u5f39\u6027\u662f\u4e00\u5f00\u59cb\u5c31\u5177\u6709\u7684\u3002\u4e8b\u5b9e\u4e0a\uff0c\u53ea\u8981\u5bf9\u6750\u6599\u7684\u6d4b\u91cf\u65f6\u957f\u77ed\u4e8e\u5b83\u56de\u5230\u5e73\u8861\u6001\u6240\u9700\u8981\u7684\u7279\u5f81\u65f6\u95f4\uff0c\u90a3\u4e0d\u7ba1\u4ec0\u4e48\u5b8f\u89c2\u6027\u8d28\uff0c\u90fd\u4f1a\u663e\u793a\u76f8\u540c\u7684\u677e\u5f1b\u8c31\uff08\u5f53\u7136\uff0c\u8981\u4fdd\u8bc1\u7ebf\u6027\u54cd\u5e94\u7684\u524d\u63d0\u6761\u4ef6\uff09\u3002\u4f60\u65e2\u53ef\u4ee5\u9009\u62e9\u529b\u5b66\u54cd\u5e94\u3001\u4ecb\u7535\u54cd\u5e94\u6765\u6d4b\u8fd9\u4e2a\u8c31\uff08\u6d4b\u54cd\u5e94\u51fd\u6570\uff09\uff0c\u4e5f\u53ef\u4ee5\u9009\u62e9\u5bc6\u5ea6\u6da8\u843d\uff08\u6240\u9020\u6210\u7684\u6563\u5c04\u5149\u5f3a\u6da8\u843d\uff09\u6765\u6d4b\u8fd9\u4e2a\u8c31\uff08\u6d4b\u76f8\u5173\u51fd\u6570\uff09\u3002\u4e0d\u540c\u6d4b\u8bd5\u624b\u6bb5\u7684\u91cd\u8981\u533a\u522b\u4ec5\u5728\u5b83\u4eec\u6240\u5bf9\u5e94\u65f6\u95f4\u5c3a\u5ea6\u533a\u95f4\u3002<\/p>\n\n\n\n<p>\u7c98\u5f39\u6027\u548c\u7535\u5b66\u7684\u7814\u7a76\uff0c\u4ece\u4e00\u5f00\u59cb\u5c31\u662f\u7ed1\u5b9a\u7684\u3002\u65e9\u5e74\u6d4b\u4e07\u6709\u5f15\u529b\u7684\u5e38\u6570\u7684\u4e3b\u8981\u4eea\u5668\u2014\u2014\u626d\u6446\uff08\u79e4\uff09\u9700\u8981\u4f7f\u7528\u4e00\u6839\u5f88\u7ec6\u7684\u521a\u6027\u4e1d\u7ebf\u3002\u9759\u7535\u73b0\u8c61\u8ba9\u4eba\u8054\u60f3\u5230\u7c7b\u4f3c\u4e07\u6709\u5f15\u529b\u90a3\u6837\u7684\u8d85\u8ddd\u4f5c\u7528\u529b\u3002\u5e93\u4ed1\u7528\u76f8\u540c\u7684\u4eea\u5668\u6765\u7814\u7a76\u9759\u7535\u529b\uff0c\u4e5f\u5f97\u51fa\u4e86\u5f62\u5f0f\u7c7b\u4f3c\u7684\u3001\u4ee5\u4ed6\u7684\u540d\u5b57\u547d\u540d\u7684\u5b9a\u5f8b\u3002\u5e93\u4ed1\u5728\u539f\u6587\u8fd8\u9996\u5148\u901a\u8fc7\u5b9e\u9a8c\u786e\u5b9a\u4e86\u56fa\u4f53\u626d\u8f6c\u5f62\u53d8\u4e0b\u626d\u77e9\u4e0e\u504f\u8f6c\u89d2\u4e4b\u95f4\u7684\u5173\u7cfb\u4e5f\u662f\u8fd1\u4f3c\u7ebf\u6027\u7684\uff0c\u5e76\u76f4\u63a5\u4f7f\u7528\u4e86\u8fd9\u79cd\u7ebf\u6027\u5173\u7cfb\u6765\u6784\u5efa\u626d\u6446\u4eea\u5668\u7684\u6d4b\u91cf\u7406\u8bba\u3002\u8fd9\u4e2a\u7075\u611f\u5f53\u7136\u6765\u81ea\u864e\u514b\u66f4\u65e9\u53d1\u8868\u7684\u5de5\u4f5c\u3002\u5e93\u4ed1\u7684\u7814\u7a76\u5c31\u5df2\u7ecf\u770b\u5230\u4e86\u7c98\u5f39\u6027\u73b0\u8c61\u2014\u2014\u6216\u8005\u7b49\u4ef7\u5730\u8bf4\u662f\u70ed\u529b\u5b66\u5e73\u8861\u6001\u7684\u6d4b\u91cf\u5b66\u95ee\u9898\uff1a\u5f15\u5165\u4e86\u7535\u8377\u4e4b\u540e\uff0c\u626d\u6446\u5148\u4f1a\u53d1\u751f\u632f\u8361\uff0c\u632f\u5e45\u968f\u65f6\u95f4\u8870\u51cf\uff0c\u6700\u540e\u518d\u8fd1\u4f3c\u8fbe\u5230\u9759\u529b\u5b66\u5e73\u8861\u3002\u5e93\u4ed1\u901a\u8fc7\u725b\u987f\u529b\u5b66\u7684\u8fd0\u52a8\u65b9\u7a0b\u63a8\u5bfc\u4e86\u8fd9\u79cd\u632f\u8361\u7684\u9891\u7387\u4e0e\u4e1d\u7ebf\u534a\u5f84\u7684\u5173\u7cfb\u3002\u5173\u4e8e\u5e93\u4ed1\u7684\u7814\u7a76\uff0c\u6211\u57282012\u5e74\u4e5f\u5199\u8fc7<a rel=\"noreferrer noopener\" href=\"https:\/\/site.douban.com\/166863\/widget\/notes\/9025386\/note\/221378247\/\" 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u6027\u7684Friedrich 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1993)\u200b\u200b*\u200b\uff0c\u6211\u5199\u7684\u5185\u5bb9\u5927\u90e8\u5206\u90fd\u662f\u76f4\u63a5\u6765\u81ea\u8fd9\u91cc\u3002\u5176\u5b9e\u6211\u4e5f\u72ec\u7acb\u5730\u8bc4\u4f30\u8fc7\u5979\u7684\u8bba\u6587\u3002\u6211\u81ea\u5df1\u770b\u8fc7\u4e00\u90e8\u5206\u7684\u5386\u53f2\u6587\u732e\u7684\u539f\u6587\uff08\u89c1\u6b64\u6587\uff09\uff0c\u518d\u53bb\u770bIanniello\u5bf9\u8fd9\u4e9b\u539f\u6587\u7684\u89e3\u8bfb\uff0c\u89c9\u5f97\u5979\u5173\u6ce8\u7ec6\u8282\u8ddf\u6211\u4e00\u6837\u591a\uff0c\u751a\u81f3\u770b\u5f97\u548c\u60f3\u5f97\u6bd4\u6211\u66f4\u4ed4\u7ec6\u3002\u79d1\u5b66\u54f2\u5b66\u5c42\u9762\u4e0a\u7684\u5173\u7167\u89d2\u5ea6\u4e5f\u548c\u6211\u5f88\u63a5\u8fd1\uff0c\u56e0\u6b64\u6211\u5f88\u4fe1\u8d56\u8fd9\u4e2a\u5de5\u4f5c\u3002\u53e6\u5916\u8fd8\u6709\u4e00\u7bc7\u66f4\u65e9\u4e9b\u7684\u79d1\u5b66\u53f2\u8bba\u6587\u200b(D\u00f6rries 1991)\u200b\uff0c\u4ece\u5e7f\u4e49\u7684\u201c\u4f59\u6548\u201d\uff08Nachwirking\uff09\u4e0e\u201c\u8fdf\u6ede\u201d\uff08histeresis\uff09\u6982\u5ff5\u7684\u89d2\u5ea6\u56de\u987e\u4e8619\u4e16\u7eaa\u7684\u7269\u7406\u5b66\u53f2\uff0c\u4f46\u662f\u63cf\u8ff0\u4e0d\u5982Ianniello\u7684\u6587\u7ae0\u8be6\u7ec6\u3002\u9664\u4e86\u8fd9\u4e9b\u79d1\u5b66\u53f2\u7814\u7a76\u8005\u7684\u8bba\u6587\u5916\uff0c\u6211\u5728\u8fd9\u91cc\u63d0\u4e00\u4e9b\u6d41\u53d8\u5b66\u5bb6\u81ea\u5df1\u505a\u7684\u5386\u53f2\u603b\u7ed3\u3002\u200b(Tanner and Walters 1998)\u200b\u7684\u8fd9\u672c\u4e66\u662f\u6574\u4e2a\u6d41\u53d8\u5b66\u7684\u4e00\u4e2a\u5927\u7684\u5386\u53f2\u603b\u7ed3\uff0c\u662f\u4e00\u4e2a\u5f88\u4f1f\u5927\u7684\u5de5\u7a0b\uff0c\u4f46\u662f\u96be\u514d\u4e5f\u6d41\u4e8e\u6cdb\u6cdb\uff0c\u53ef\u4ee5\u4f5c\u4e3a\u4e00\u4e2a\u7c97\u7565\u7684\u63d0\u7eb2\u548c\u53c2\u8003\u6587\u732e\u6765\u53c2\u8003\u3002\u76f8\u6bd4\u4e4b\u4e0b\uff0cHershel Markovitz\u505a\u8fc7\u7684\u5f88\u591a\u6d41\u53d8\u5b66\u53f2\u603b\u7ed3\u66f4\u52a0\u95ee\u9898\u5bfc\u5411\u56e0\u800c\u4e5f\u66f4\u5bcc\u6709\u6d1e\u89c1\u200b(Markovitz 1968, 1977, 1985)\u200b\u3002\u200b(Doraiswamy 2002)\u200b\u4e5f\u505a\u4e86\u4e00\u4e2a\u5f88\u5168\u9762\u7684\u5386\u53f2\u6eaf\u6e90\u8d44\u6599\u603b\u7ed3\u3002\u200b(Tanner 2002)\u200b\u603b\u7ed3\u4e86\u6d41\u53d8\u6d4b\u91cf\u5b66\u4e2d\u6b63\u5f26\u6d4b\u8bd5\u65b9\u6cd5\u7684\u5386\u53f2\u3002 \u5df2\u6545\u7684\u6d41\u53d8\u5b66\u5bb6\u90d1\u878d\u8001\u5e08\u5728\u79d1\u5b66\u7f51\u4e0a\u7684\u535a\u5ba2\u5199\u6ee1\u4e86\u810d\u7099\u4eba\u53e3\u7684\u6d41\u53d8\u5b66\u53f2\u8bdd\u3002 1. \u4eca\u5929\u77e5\u9053\u7684\u201c\u7c98\u5f39\u6027\u201d \u201c\u7c98\u5f39\u6027\u201d\uff08viscoelasticity\uff09\u662f\u6d41\u53d8\u5b66\u6216\u529b\u5b66\u65b9\u9762\u7684\u8bcd\u3002 Ferry\u5bf9\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u5b8f\u89c2\u552f\u8c61\u7406\u8bba\u6a21\u578b\u548c\u5b9e\u9a8c\u65b9\u6cd5\u8fdb\u884c\u4e86\u5b8c\u6574\u7684\u603b\u7ed3\u200b(Ferry 1980)\u200b\u3002\u800c\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u5c31\u662f\u6574\u4e2a\u6d41\u53d8\u5b66\u7684\u7814\u7a76\u5bf9\u8c61\uff0c\u5176\u73b0\u8c61\u5b66\u6a21\u578b\u548c\u5b9e\u9a8c\u65b9\u6cd5\u53ef\u89c1\u4e8e\u5404\u4e2a\u6d41\u53d8\u5b66\u6559\u6750\u3002\u503c\u63d0\u4e00\u63d0\u7684\u662f\u632f\u8361\u6d4b\u8bd5\u5728\u975e\u7ebf\u6027\u54cd\u5e94\u4e2d\u7684\u63cf\u8ff0\u6846\u67b6\u5728\u6d41\u53d8\u5b66\u4e2d\u7684\u5e94\u7528\u662f\u201c\u5927\u5e45\u632f\u8361\u526a\u5207\u201d\uff08large amplitude oscillatory shear\uff0cLAOS\uff09\u3002\u8fd9\u65b9\u9762\u6700\u8fd1\u7684\u5927\u578b\u7efc\u8ff0\u200b(Hyun et al. 2011)\u200b\u5df2\u7ecf\u5f88\u65e9\u4e86\uff0c\u5176\u4e4b\u540e\u503c\u5f97\u5173\u6ce8\u7684\u76f8\u5173\u7efc\u8ff0\u6709\u200b(Bird and Giacomin 2016)\u200b\u548c\u200b(Voigtmann 2014)\u200b\u3002 \u4e8b\u5b9e\u4e0a\u7c98\u5f39\u6027\u7684\u73b0\u8c61\u5728\u529b\u5b66\u4e4b\u5916\u6709\u66f4\u4e00\u822c\u7684\u672c\u8d28\uff0c\u5b83\u5b9e\u8d28\u4e0a\u662f\u4e00\u79cd\u677e\u5f1b\uff08\u5f1b\u8c6b\uff09\u73b0\u8c61\u200b\u2020\u200b\uff0c\u5728\u7535\u78c1\u5b66\u4e2d\u4e5f\u5f88\u666e\u904d\u3002\u56e0\u6b64Oppenheim\u7684\u7ecf\u5178\u6559\u79d1\u4e66\u200b(Oppenheim et al. 1997)\u200b\u4e2d\u7684\u5f88\u591a\u65b9\u6cd5\u8ddf\u7c98\u5f39\u6027\u73b0\u8c61\u5b66\u662f\u76f8\u901a\u7684\u3002\u4f8b\u5982\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u901a\u7528\u672c\u6784\u2014\u2014Boltzmann\u65b9\u7a0b\u5c31\u662f\u4e00\u4e2a\u7ebf\u6027\u65f6\u4e0d\u53d8\u7cfb\u7edf\u7684\u5377\u79ef\u5f0f\u3002\u5728\u540e\u9762\u7684\u5386\u53f2\u4ecb\u7ecd\u4e2d\u6211\u4eec\u5c06\u4f1a\u770b\u5230\uff0c\u7c98\u5f39\u6027\u7684\u8ba4\u8bc6\u53f2\u8ddf\u7535\u78c1\u5b66\u548c\u7535\u4fe1\u6280\u672f\u7684\u53d1\u5c55\u662f\u5bc6\u5207\u76f8\u5173\u7684\u3002\u4e00\u9886\u57df\u7684\u6982\u5ff5\u6216\u65b9\u6cd5\u5ef6\u7528\u4e8e\u53e6\u4e00\u9886\u57df\u7684\u60c5\u51b5\u5f88\u5e38\u89c1\uff0c\u4e14\u8fd9\u79cd\u60c5\u51b5\u4e00\u76f4\u5ef6\u7eed\u5230\u4eca\u5929\u3002 \u81f3\u4e8e\u5b8f\u89c2\u7c98\u5f39\u6027\u6216\u5176\u4ed6\u5b8f\u89c2\u6027\u8d28\u7684\u5f1b\u8c6b\u73b0\u8c61\u7684\u5fae\u89c2\u672c\u8d28\uff0c\u5219\u662f\u975e\u5e73\u8861\u6001\u7edf\u8ba1\u529b\u5b66\u63d0\u4f9b\u7684\u3002\u53ef\u4ee5\u7528\u4e00\u53e5\u8bdd\u8bf4\u5b8f\u89c2\u6027\u8d28\u7684\u5f1b\u8c6b\u73b0\u8c61\u7684\u5fae\u89c2\u672c\u8d28\u5c31\u662f\u70ed\u8fd0\u52a8\u3002\u5177\u4f53\u5730\uff0c\u7ebf\u6027\u54cd\u5e94\u7406\u8bba\u662f\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u7edf\u8ba1\u57fa\u7840\u3002\u8fd9\u65b9\u9762\u5185\u5bb9\u53ef\u4ee5\u53c2\u8003\u200b(Evans and Morriss 2008)\u200b\u548c\u200b(Kreuzer 1981)\u200b\u3002 \u4e0a\u8ff0\u5f15\u7528\u7684\u8d44\u6599\u4ee3\u8868\u4e86\u6211\u4eec\u4eca\u5929\u5bf9\u7c98\u5f39\u6027\u7684\u8ba4\u8bc6\u3002\u5728\u56de\u987e\u7c98\u5f39\u6027\u7684\u7814\u7a76\u5386\u53f2\u7684\u65f6\u5019\uff0c\u6211\u4eec\u5c31\u81ea\u7136\u4f1a\u5173\u6ce8\u5f53\u65f6\u7684\u4eba\u4ece\u5f53\u65f6\u7684\u6570\u5b66\u548c\u7269\u7406\u5b66\u57fa\u7840\u548c\u5b9e\u9a8c\u73b0\u8c61\u6240\u80fd\u5f62\u6210\u7684\u6700\u521d\u8ba4\u8bc6\u8ddf\u4eca\u5929\u8ba4\u8bc6\u7684\u5dee\u5f02\u548c\u5dee\u8ddd\u662f\u600e\u6837\u7684\uff1f\u4e4b\u540e\u662f\u5982\u4f55\u201c\u677e\u5f1b\u201d\u5230\u4eca\u5929\u7684\u8ba4\u8bc6\u7684\uff1f 2. \u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u4e0e\u70ed\u529b\u5b66 \u6211\u4eec\u4eca\u5929\u7684\u8ba4\u8bc6\u4f53\u7cfb\u4e2d\uff0c\u7c98\u5f39\u6027\u73b0\u8c61\u662f\u5bf9\u7ecf\u5178\u7684\u864e\u514b\u5f39\u6027\u548c\u725b\u987f\u7c98\u6027\u7684\u63a8\u5e7f\u3002\u4ece\u66f4\u5927\u7684\u89d2\u5ea6\u770b\uff0c\u7c98\u5f39\u6027\u662f\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u4e2d\u7684\u7279\u6b8a\u672c\u6784\u5173\u7cfb\u3002\u4eca\u5929\u5982\u679c\u6211\u4eec\u8981\u8bb2\u8ff0\u7c98\u5f39\u6027\uff0c\u6211\u4eec\u4f1a\u5e0c\u671b\u542c\u4f17\u5df2\u7ecf\u5bf9\u4e0a\u8ff0\u8fd9\u4e9b\u80cc\u666f\u6709\u6240\u4e86\u89e3\u200b\u2021\u200b\u3002 \u9996\u5148\u662f\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u3002\u6b27\u62c9\u628a\u725b\u987f\u8fd0\u52a8\u5b9a\u5f8b\u63a8\u5e7f\u81f3\u8fde\u7eed\u4ecb\u8d28\uff0c\u5e76\u63a8\u5bfc\u4e86\u521a\u4f53\u548c\u7406\u60f3\u6d41\u4f53\u7684\u65b9\u7a0b\u200b(Truesdell 1960a, 1968)\u200b\u200b\u00a7\u200b\u3002\u8fd9\u5927\u6982\u662f\u5341\u516b\u4e16\u7eaa\u4e2d\u53f6\u7684\u4e8b\u60c5\u3002 \u5173\u4e8e\u80fd\u91cf\u5b88\u6052\uff0c\u4e5f\u8bb8\u4f2f\u52aa\u5229\u7684\u5de5\u4f5c\u53ef\u4ee5\u4f5c\u4e3a\u4e00\u79cd\u4ee3\u8868\uff0c\u4ee5\u4ed61738\u5e74\u53d1\u8868\u7684Hydrodynamica\u4e3a\u6807\u5fd7\u200b(Truesdell 1960a, 1968)\u200b\u3002\u4f2f\u52aa\u5229\u65b9\u7a0b\uff0c\u5c31\u662f\u673a\u68b0\u80fd\u4e0e\u91cd\u529b\u52bf\u80fd\u4e4b\u95f4\u7684\u80fd\u91cf\u5b88\u6052\u3002\u4ec5\u8003\u8651\u8fd9\u4e24\u79cd\u80fd\u91cf\u4e4b\u95f4\u7684\u5b88\u6052\u662f\u7ecf\u5178\u529b\u5b66\u53d1\u5c55\u8fc7\u7a0b\u4e2d\u7684\u4e00\u4e2a\u4e3b\u8981\u7684\u95ee\u9898\u5f62\u5f0f\u3002\u70ed\u529b\u5b66\u610f\u4e49\u4e0a\u7684\u80fd\u91cf\u5b88\u6052\uff08\u5373\u4f5c\u4e3a\u516c\u8bbe\u7684\u70ed\u529b\u5b66\u7b2c\u4e00\u5b9a\u5f8b\uff09\uff0c\u5219\u4e0e\u70ed\u7684\u672c\u8d28\u95ee\u9898\u548c\u7b2c\u4e8c\u5b9a\u5f8b\u7684\u8ba4\u8bc6\u7b49\u4e00\u540c\u7ea0\u7f20\u523019\u4e16\u7eaa\u4e2d\u671f\u624d\u7b97\u786e\u7acb\u3002\u2026","rel":"","context":"In &quot;\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0&quot;","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":353,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/353","url_meta":{"origin":8883,"position":4},"title":"\u4f55\u8c13\u5927\u5e45\uff1f\u53e6\u4e00\u79cd\u5b9a\u4e49\u3002","author":"Andrew","date":"2009\u5e748\u670817\u65e5","format":false,"excerpt":"\u6211\u7684\u8bfe\u9898\u662f\u5173\u4e8e\u5927\u5e45\u632f\u8361\u526a\u5207\uff08Large Amplitude Oscillatory Shearing, LAOS\uff09\u6d41\u53d8\u5b9e\u9a8c\u3002\u6240\u8c13\u632f\u8361\u526a\u5207\uff08Oscillatory Shearing\uff09\u6307\u7684\u5176\u5b9e\u5c31\u662f\u52a8\u6001\u529b\u5b66\u6d4b\u8bd5\u7684\u526a\u5207\u5f62\u53d8\u7248\uff0c\u7ed9\u8bd5\u6837\u65bd\u52a0\u6b63\u5f26\u65f6\u95f4\u51fd\u6570\u7684\u5f80\u590d\u5f62\u53d8\uff0c\u56e0\u6b64\u8fd9\u91cc\u9762\u624d\u6709\u4e2a\u201c\u632f\u5e45\u201d\u7684\u56e0\u7d20\u3002\u539f\u672c\u6309\u7167\u6211\u7684\u7406\u89e3\u7a0b\u5ea6\uff0c\u5927\u5bb6\u5173\u5fc3\u201c\u5927\u5e45\u201d\u7684\u632f\u8361\u526a\u5207\uff0c\u5b9e\u9645\u4e0a\u662f\u5728\u5173\u5fc3\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u3002\u56e0\u4e3a\u8bb8\u591a\u7c98\u5f39\u6027\u8bd5\u6837\u90fd\u662f\u5728\u5927\u5e45\u5ea6\u5e94\u53d8\u4e0b\u8868\u73b0\u51fa\u660e\u663e\u7684\u975e\u7ebf\u6027\u884c\u4e3a\u7684\u3002\u7167\u6211\u7406\u89e3\u6240\u6709\u7c98\u5f39\u6027\u6837\u54c1\u90fd\u662f\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u3002\u5728\u5b66\u754c\u8ba4\u8bc6\u4e86\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u4e4b\u540e\uff0c\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u90a3\u4e00\u5957\u5b9a\u5f8b\u53ea\u80fd\u8bf4\u662f\u5728\u5c0f\u5e45\u5f62\u53d8\u4e0b\u7684\u7b80\u5316\u8fd1\u4f3c\uff0c\u5c31\u597d\u50cf\u725b\u987f\u529b\u5b66\u5b9a\u5f8b\u662f\u76f8\u5bf9\u8bba\u5728\u4f4e\u901f\u6761\u4ef6\u4e0b\u7684\u7b80\u5316\u8fd1\u4f3c\u4e00\u6837\u3002\u81f3\u5e95\u4ec0\u4e48\u65f6\u5019\u7b97\u201c\u5927\u5e45\u201d\uff0c\u4ec0\u4e48\u65f6\u5019\u4e0d\u80fd\u5ffd\u7565\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u95ee\u9898\uff0c\u4e5f\u5c31\u8ddf\u5230\u5e95\u4ec0\u4e48\u65f6\u5019\u662f\u9ad8\u901f\uff0c\u4ec0\u4e48\u65f6\u5019\u8981\u8003\u8651\u76f8\u5bf9\u8bba\u7684\u95ee\u9898\u4e00\u4e2a\u6027\u8d28\u3002\u5927\u5e45\u548c\u5c0f\u5e45\u4e4b\u95f4\u6ca1\u6709\u660e\u786e\u7684\u754c\u9650\u3002\u8fd9\u79cd\u7406\u89e3\u53ef\u80fd\u8981\u53d8\u4e00\u4e0b\u4e86\u30022005\u5e74Nature\u4e0a\u7684\u4e00\u7bc7\u6587\u7ae0\uff08Nature 2005, 438, 997-1100\uff09\u8003\u5bdf\u4e86\u60ac\u6d6e\u6db2\u5728\u632f\u8361\u526a\u5207\u4e0b\u60ac\u6d6e\u7c92\u5b50\u7684\u884c\u8e2a\u95ee\u9898\u3002\u53d1\u73b0\u5982\u679c\u632f\u8361\u526a\u5207\u7684\u5e45\u5ea6\u8db3\u591f\u5c0f\uff0c\u60ac\u6d6e\u7c92\u5b50\u57fa\u672c\u4e0a\u539f\u5730\u4e0d\u52a8\uff1b\u5f53\u5e45\u5ea6\u5927\u4e8e\u4e00\u5b9a\u7a0b\u5ea6\uff0c\u7c92\u5b50\u5c31\u6df7\u8d77\u6765\u4e86\uff0c\u5177\u6709\u6269\u6563\u7684\u6027\u8d28\u3002\u8be5\u5c0f\u7ec4\u8fdb\u4e00\u6b65\uff08Nat. Phys. 2008, 4, 420-424\uff09\u901a\u8fc7\u5efa\u6a21\u5728\u4e8c\u7ef4\u7a7a\u95f4\u91cd\u73b0\u4e86\u8fd9\u4e00\u73b0\u8c61\uff0c\u8868\u660e\u8fd9\u662f\u4e00\u79cd\u76f8\u53d8\uff0c\u6709\u6e1d\u6e17\u9608\u503c\u3002\u8fd9\u51e0\u5929\u53c8\u770b\u5230Menon\u5bf9\u8fd9\u4e00\u73b0\u8c61\u8fdb\u884c\u540e\u7eed\u7814\u7a76\uff08Phys. Rev. E 2009, 79, 061108\uff09\uff0c\u8c8c\u4f3c\u60f3\u8ba8\u8bbauniversality\u7684\u95ee\u9898\uff0c\u4f46\u5177\u4f53\u6211\u8fd8\u6ca1\u770b\u61c2\u3002\u8fd9\u4e00\u7cfb\u5217\u7814\u7a76\u5df2\u7ecf\u662f\u5728\u8ba8\u8bba\u632f\u8361\u526a\u5207\u7684\u5e45\u5ea6\u95ee\u9898\u4e86\uff0c\u53ea\u662f\u6ca1\u6709\u8ddf\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u8054\u7cfb\u8d77\u6765\u3002\u4f5c\u8005\u662f\u5177\u4f53\u5230\u60ac\u6d6e\u6db2\u8fd9\u4e00\u4f53\u7cfb\uff0c\u4ececreep flow\u7684\u65b9\u7a0b\u51fa\u53d1\u8003\u8651\u95ee\u9898\uff0c\u76f8\u53d8\u539f\u56e0\u89e3\u91ca\u4e3a\u7c92\u5b50\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u5bfc\u81f4\u7684\u975e\u5e73\u8861\u6001\u3002\u800c\u5728\u6d41\u53d8\u5b66\u4e2d\uff0c\u5927\u5e45\u5f62\u53d8\u4e0b\u8bd5\u6837\u51fa\u73b0\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u89e3\u91ca\u4e5f\u662f\u67d0\u79cd\u5e73\u8861\u7684\u7834\u574f\u3002\u6211\u731c\u6d4b\u8fd9\u4e24\u8005\u662f\u540c\u4e00\u4ef6\u4e8b\uff0c\u51fa\u73b0\u6df7\u6c8c\u7684\u90a3\u4e2a\u76f8\u53d8\u9608\u632f\u5e45\u5c31\u5bf9\u5e94\u7740\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u4e0d\u53ef\u5ffd\u7565\u7684\u90a3\u4e2a\u632f\u5e45\u3002Nat. Phys.\u90a3\u7bc7\u6587\u7ae0\u8fd8\u8bf4\u76f8\u53d8\u4e4b\u540e\u6709\u81ea\u7ec4\u7ec7\u884c\u4e3a\uff0c\u800c\u8bb8\u591a\u8bd5\u6837\u5728\u5927\u5e45\u526a\u5207\u4e0b\u4e5f\u7684\u786e\u51fa\u73b0\u8bf8\u5982shear banding\u3001shear-induced ordering\u7684\u73b0\u8c61\uff0c\u6211\u731c\u6d4b\u4e8c\u8005\u4e5f\u662f\u5bf9\u5e94\u7684\u3002\u4e0d\u8fc7\uff0c\u5176\u4ed6\u8bd5\u6837\u60ac\u6d6e\u4f53\u7cfb\uff0c\u5982\u679c\u8981\u8bc1\u660e\u8fd9\u4e9b\u90fd\u662f\u540c\u4e00\u7c7b\u76f8\u53d8\u7684universality\uff0c\u4f3c\u4e4e\u8981\u5728creep flow\u65b9\u7a0b\u7684\u57fa\u7840\u4e0a\u8fdb\u4e00\u6b65\u62bd\u8c61\u7684\u7406\u8bba\u624d\u884c\u3002\u6211\u662f\u505a\u5b9e\u9a8c\u7684\u4e0d\u662f\u505a\u7406\u8bba\u7684\uff0c\u6211\u7422\u78e8\u7740\u8fd9\u4e00\u76f8\u53d8\u5728\u6d41\u53d8\u5b66\u51fd\u6570\u4e2d\u80fd\u4e0d\u80fd\u4f53\u73b0\u51fa\u6765\uff0c\u80fd\u4e0d\u80fd\u628a\u5b83\u4ece\u5b9e\u9a8c\u4e0a\u505a\u51fa\u6765\u3002Menon, G., & Ramaswamy, S. (2009). Universality class of the reversible-irreversible transition in sheared suspensions Physical Review E, 79 (6) DOI: 10.1103\/PhysRevE.79.061108","rel":"","context":"In 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