{"id":5675,"date":"2013-09-19T15:49:17","date_gmt":"2013-09-19T07:49:17","guid":{"rendered":"http:\/\/www.andrewsun.net\/panta_rhei\/?p=5675"},"modified":"2020-02-04T23:44:14","modified_gmt":"2020-02-04T15:44:14","slug":"5675","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/5675","title":{"rendered":"\u7a33\u6001\u526a\u5207\u4e0b\u7684\u7ed3\u6784\u677e\u5f1b"},"content":{"rendered":"
\n

\u4e2d\u79cb\u8fd9\u4e24\u5929\u5047\u671f\uff0c\u6211\u90fd\u5728\u770bmode coupling theory\u7684\u6587\u732e\u3002\u82b1\u4e86\u5f88\u591a\u529f\u592b\uff0c\u7ed3\u679c\u5565\u4e5f\u6ca1\u771f\u6b63\u770b\u61c2\u3002\u4ee5\u540e\u53ef\u80fd\u4e0d\u4f1a\u518d\u50cf\u8fd9\u4e24\u5929\u8fd9\u4e48\u8ba4\u771f\u5730\u53bb\u770b\u8fd9\u73a9\u610f\u4e86\uff0c\u6240\u4ee5\u597d\u6b79\u8bb0\u5f55\u4e00\u4e0b\u3002<\/p>\n

Time-shear superposition<\/h3>\n

\u5bf9\u8fc7\u51b7\u6db2\u4f53\u7684\u6a21\u62df\u7814\u7a76\u53d1\u73b0\uff0c\u5728\u65bd\u52a0\u4e00\u4e2a\u7a33\u6001\u526a\u5207\"\dot\gamma\"\u65f6\uff0c\u5176\u5bc6\u5ea6\u6216\u6563\u5c04\u81ea\u76f8\u5173\u51fd\u6570\u7684\u03b1\u677e\u5f1b\u968f\"\dot\gamma\"\u589e\u5927\u5411\u77ed\u65f6\u95f4\u65b9\u5411\u79fb\u52a8\uff0c\u677e\u5f1b\u65f6\u95f4\u51cf\u5c0f\u3002\u5982\u679c\u628a\u4e0d\u540c\"\dot\gamma\"\u7684\u81ea\u76f8\u5173\u51fd\u6570\"\phi\left(t\right)\"\u6539\u5bf9\u4e00\u4e2a\u7ea6\u5316\u7684\u65f6\u95f4t<\/i>\/\u03c4<\/i>\u4f5c\u56fe\uff0c\u5404\u66f2\u7ebf\u7684\u03b1\u677e\u5f1b\u90e8\u5206\u80fd\u591f\u53e0\u52a0\u6210\u4e00\u6761\u4e3b\u66f2\u7ebf\u3002\u03c4<\/i>\u8ddf\"\dot\gamma\"\u7684\u5173\u7cfb\u5f80\u5f80\u5177\u6709\"\tau\sim\dot\gamma^{-a}\"\u7684\u5f62\u5f0f\uff0ca<\/i>\u5f88\u63a5\u8fd11[1]<\/a><\/span>[2]<\/a><\/span>[3]<\/a><\/span>\u3002\u8fd9\u4e2a\u73b0\u8c61\u8bf4\u660e\uff0c\u7a33\u6001\u526a\u5207\u80fd\u591f\u7f29\u77ed\u03b1\u677e\u5f1b\u7684\u65f6\u95f4\u5c3a\u5ea6\uff0c\u4f46\u4e0d\u6539\u53d8\u677e\u5f1b\u66f2\u7ebf\u7684\u5f62\u72b6\uff0c\u8fd9\u4e00\u73b0\u8c61\u53c8\u88ab\u79f0\u4e3atime-shear superposition\u3002<\/p>\n

Strain rate-frequency superposition<\/h3>\n

2007\u5e74Wyss\u7b49\u62a5\u9053\uff0c\u5728\u51e0\u79cd\u4e0d\u540c\u7684\u6d53\u80f6\u4f53\u4f53\u7cfb\u90fd\u5448\u73b0\u6240\u8c13strain rate-frequency superposition\uff08SRFS\uff09\uff1a\u5bf9\u6837\u54c1\u65bd\u52a0\u632f\u8361\u526a\u5207\"\gamma\left(t\right)=\gamma_0\sin\omega\uff0c\u5728\u6052\u5b9a\u5e94\u53d8\u901f\u7387\u5e45\u503c\"\dot\gamma_0=\gamma_0\omega\"\u6761\u4ef6\u4e0b\u626b\u9891\u7387\uff0c\u5f97\u5230G’<\/i>(\u03c9<\/i>)\u3001G”<\/i>(\u03c9<\/i>)\u66f2\u7ebf\u3002\u6052\u5b9a\u4e0d\u540c\u5927\u5c0f\u7684\"\dot\gamma_0\"\u7684\u66f2\u7ebf\u53ef\u5e73\u79fb\u53e0\u52a0\u6210\u4e00\u6761\u4e3b\u66f2\u7ebf\u3002\u5e73\u79fb\u56e0\u5b50\u03c4<\/i>\u4e0e\"\dot\gamma_0\"\u7684\u5173\u7cfb\u4e5f\u6709\"\tau\sim\dot\gamma^{-a}\"\u7684\u89c4\u5f8b\u3002\u800c\u4e14\u4e3b\u66f2\u7ebf\u7684\u5f62\u72b6\u8ddf\u5178\u578b\u7684\u7ebf\u6027\u626b\u9891\u8c31\u56fe\u76f8\u4f3c\uff0c\u53ef\u4ee5\u770b\u5230\u201c\u672b\u7aef\u533a\u201d\u3002Wyss\u8ba4\u4e3a\u8fd9\u5c31\u662f\u5916\u90e8\u526a\u5207\u52a0\u901f\u4e86\u6837\u54c1\u7684\u7ed3\u6784\u677e\u5f1b\uff0c\u5e73\u79fb\u56e0\u5b50\u03c4<\/i>\u5c31\u662f\u677e\u5f1b\u65f6\u95f4\uff0c\u5b83\u8ddf\"\dot\gamma_0\"\u7684\u5173\u7cfb\u8ddf\u4e0a\u8ff0\u7684\u7a33\u6001\u526a\u5207\u7684\u62a5\u9053\u7ed3\u679c\u662f\u6765\u81ea\u540c\u4e00\u4e2a\u7269\u7406\u673a\u5236\u3002\u5f88\u591a\u4eba<\/a>\u8ffd\u968fWyss\u7684\u8bf4\u6cd5\uff0c\u5bf9\u66f4\u591a\u7684\u4f53\u7cfb\u8fdb\u884c\u4e86\u76f8\u540c\u7684\u5b9e\u9a8c\uff0c\u6700\u8fd1\u7684\u4e00\u4e2a\u62a5\u9053\u662f[4]<\/a><\/span>\uff0c\u8bf4\u660eSRFS\u73b0\u8c61\u662f\u5177\u6709\u666e\u904d\u6027\u7684\u3002<\/p>\n

\u9996\u5148\uff0c\u6211\u89c9\u5f97\u6240\u8c13\u7684strain rate-frequency superposition\u4e25\u683c\u6765\u8bb2\u5e94\u8be5\u79f0\u4e3atime-shear rate superposition\u3002\u5047\u5982\u6309\u7167Wyss\u7684\u610f\u89c1\uff0c\u8fd9\u6837\u7684\u6052\u5b9a\"\dot\gamma_0\"\u7684\u626b\u9891\u7ed3\u679c\u786e\u5b9e\u662f\u4e00\u79cd\u677e\u5f1b\u8c31\u7684\u8bdd\uff0c\u90a3\u4e48\u9891\u7387\u53ea\u662f\u65f6\u95f4\u5728Fourier\u53d8\u6362\u4e4b\u540e\u7684\u5750\u6807\u800c\u5df2\u3002\u201c\u65f6\u6e29\u53e0\u52a0\u539f\u7406\u201d\u4e0d\u4f1a\u56e0\u4e3a\u505a\u4e86\u5c0f\u5e45\u626b\u9891\u5b9e\u9a8c\u5c31\u6539\u79f0\u201c\u6e29\u9891\u53e0\u52a0\u201d\u3002<\/p>\n

\u5176\u6b21\uff0c\u867d\u7136\u8bf4SRFS\u7684\u73b0\u8c61\u5927\u4f53\u4e0a\u53ef\u4ee5\u8bf4\u662f\u526a\u5207\u52a0\u901f\u677e\u5f1b\uff0c\u770b\u5230\u4e86\u6837\u54c1\u7684\u6d41\u52a8\u3002\u4f46\u662f\u662f\u5426\u80fd\u591f\u76f4\u63a5\u628a\u6052\u5b9a\"\dot\gamma_0\"\u7684\u626b\u9891\u7ed3\u679c\u5f53\u4f5c\u6052\u5b9a\"\gamma_0\"\u7684\u7ebf\u6027\u626b\u9891\u6765\u770b\u5f85\uff0c\u628a\u5e73\u79fb\u56e0\u5b50\u03c4\u5f53\u6210\u7ebf\u6027\u54cd\u5e94\u7406\u8bba\u6846\u67b6\u5185\u7684\u677e\u5f1b\u65f6\u95f4\uff1f\u6211\u89c9\u5f97\u8fd9\u4e48\u505a\u662f\u6709\u95ee\u9898\u7684\u3002\u4e00\u7ec4SRFS\u4e3b\u66f2\u7ebf\u4e2d\uff0c\u4f4e\u9891\u90e8\u5206\u7c7b\u4f3c\u201c\u672b\u7aef\u201d\u7684\u533a\u57df\uff0c\u4e8b\u5b9e\u4e0a\u5bf9\u5e94\u7684\u5e94\u53d8\u5e45\u5ea6\"\gamma_0\"\u65e9\u5df2\u8d85\u8fc7\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u8303\u56f4\uff0c\u662f\u5927\u5e45\u632f\u8361\u526a\u5207\uff08LAOS\uff09\u7684\u7ed3\u679c\u3002\u7b2c\u4e00\u4e2a\u62c5\u5fe7\u662f\uff0c\u6837\u54c1\u7684\u54cd\u5e94\u542b\u6709\u591a\u4e2a\u9ad8\u6b21\u8c10\u6ce2\u5206\u91cf\uff0cG’<\/i>\u548cG”<\/i>\u53ea\u662f\u57fa\u9891\u8c10\u6ce2\u5206\u91cf\u3002\u56e0\u6b64\u81f3\u5c11\u5b83\u4eec\u6ca1\u6709\u53cd\u6620\u6837\u54c1\u54cd\u5e94\u7684\u5168\u90e8\u4fe1\u606f\uff0c\u4e0d\u8db3\u4ee5\u4f5c\u4efb\u4f55\u8ba8\u8bba\u3002\u4f46\u8fd9\u4e00\u62c5\u5fe7\u5df2\u7ecf\u53ef\u4ee5\u6d88\u9664\uff0c\u6709\u4eba\u62a5\u9053\u5728\u8fd9\u4e00\u533a\u57df\uff0cLAOS\u7684\u4e00\u4e9b\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u53c2\u6570\u4e5f\u662f\u7b26\u5408SRFS\u7684[5]<\/a><\/span>\uff0c\u6211\u6700\u8fd1\u505a\u4e86\u4e00\u4e9b\u5b9e\u9a8c\u518d\u6b21\u8bc1\u5b9e\u4e86\u8fd9\u4e00\u70b9\u3002\u8fd9\u8bf4\u660eSRFS\u7684\u6027\u8d28\u662f\u8d2f\u7a7f\u4e86\u7ebf\u6027\u4e0e\u975e\u7ebf\u6027\u533a\u57df\u7684\u3002\u7b2c\u4e8c\u62c5\u5fe7\u662f\uff0c\u901a\u8fc7LAOS\u89c2\u5bdf\u5230\u7684\u672b\u7aef\uff0c\u662f\u5426\u5bf9\u5e94\u4f53\u7cfb\u7684\u7ed3\u6784\u677e\u5f1b\uff1f\u8fd9\u79cd\u5bf9\u5e94\u662f\u7f3a\u4e4f\u7406\u8bba\u57fa\u7840\u7684\uff0c[6]<\/a><\/span>\u8be6\u7ec6\u8ba8\u8bba\u4e86\u8fd9\u4e2a\u95ee\u9898\u3002<\/p>\n

\u95ee\u9898\u7684\u63d0\u51fa<\/h3>\n

\u4e8e\u662f\u6211\u60f3\uff0c1) SRFS\u770b\u5230\u7684\u5b9e\u8d28\u5230\u5e95\u662f\u4ec0\u4e48\uff1f\u5982\u679c\u5b83\u771f\u7684\u770b\u5230\u4e86\u4f53\u7cfb\u7684\u7ed3\u6784\u677e\u5f1b\uff0c\u5982\u4f55\u8bc1\u660e\u8fd9\u4e2a\u5bf9\u5e94\u5173\u7cfb\uff1f2) \u5982\u679c\u4e0d\u662f\uff0c\u90a3\u4e48\u6709\u4ec0\u4e48\u522b\u7684\u6d41\u53d8\u5b66\u65b9\u6cd5\uff0c\u80fd\u591f\u770b\u5230\u4f53\u7cfb\u5728\u975e\u7ebf\u6027\u6761\u4ef6\u4e0b\u7684\u7ed3\u6784\u677e\u5f1b\u5417\uff1f<\/p>\n

\u5bf9\u7b2c\u4e00\u4e2a\u95ee\u9898\uff0c\u53ef\u4ee5\u5148\u5148\u501f\u52a9\u6a21\u578b\u6765\u5bf9SRFS\u73b0\u8c61\u52a0\u6df1\u7406\u89e3\u3002\u6d41\u53d8\u5b9e\u9a8c\u89c2\u5bdf\u5230\u7684SRFS\u4e5f\u597d\uff0c\u8fc7\u51b7\u6db2\u4f53\u7684\u6a21\u62df\u4e2d\u89c2\u5bdf\u5230\u7684\u7ed3\u6784\u677e\u5f1b\u4e5f\u597d\uff0c\u4ece\u76ee\u524d\u62a5\u9053\u6765\u770b\u8fd9\u4e9b\u73b0\u8c61\u4f3c\u4e4e\u90fd\u662f\u73bb\u7483\u4f53\u7cfb\u7684\u7279\u5f81\u3002\uff08\u9ad8\u5206\u5b50\uff09\u7f20\u7ed3\u4f53\u7cfb\u6709\u6ca1\u6709\u8fd9\u6837\u7684\u7279\u5f81\u5462\uff1f\u4e3a\u4ec0\u4e48\u5728\u5386\u53f2\u4e0d\u77ed\u7684\u805a\u5408\u7269\u6d41\u53d8\u5b66\u7814\u7a76\u4e2d\u6ca1\u4eba\u62a5\u9053\u8fc7\u7c7b\u4f3c\u7684\u73b0\u8c61\u5462\uff1f\u6211\u5b9e\u9a8c\u5ba4\u7684\u6d41\u53d8\u4eea\u6ca1\u6709\u914doven\uff0c\u4e0d\u80fd\u505a\u9ad8\u5206\u5b50\u7194\u4f53\u3002\u6211\u5c31\u914d\u5236\u4e86\u4e00\u70b9worm-like micelle\u6765\u5f53\u4f5c\u7f20\u7ed3\u7684\u6a21\u578b\u4f53\u7cfb\u8bd5\u9a8c\uff0c\u53d1\u73b0\u662f\u5b8c\u5168\u4e0d\u7b26\u5408SRFS\u7684\u3002\u6211\u53c8\u7528Giesekus\u6a21\u578b\u505a\u4e86\u4e00\u4e0b\uff0c\u4e5f\u4e0d\u7b26\u5408\u3002\u8fd9\u4e5f\u8bb8\u53ef\u4ee5\u521d\u6b65\u8bf4\u660e\uff0c\u7f20\u7ed3\u4f53\u7cfb\u6ca1\u6709\u8fd9\u6837\u7684\u6027\u8d28\u3002SRFS\u65e2\u7136\u4f1a\u4f9d\u8d56\u8fd9\u79cddynamics\u7684\u5177\u4f53\u673a\u7406\uff0c\u53ef\u80fd\u771f\u7684\u662f\u53cd\u6620\u7740\u4ec0\u4e48\u7ed3\u6784\u677e\u5f1b\u7684\uff0c\u4f46\u662f\u8fd8\u4e0d\u597d\u4e0b\u4ec0\u4e48\u7ed3\u8bba\u3002<\/p>\n

\u90a3\u4e48\uff0c\u9002\u7528\u4e8e\u80f6\u4f53\u4f53\u7cfb\u7684\u6d41\u53d8\u5b66\u6a21\u578b\uff0c\u662f\u5426\u5c31\u90fd\u4e00\u5b9a\u80fd\u7b26\u5408SRFS\u5462\uff1f\u6211\u770b\u4e0d\u4e00\u5b9a\u3002\u4e5f\u8bb8\u4ece\u8fd9\u4e2a\u89d2\u5ea6\u51fa\u53d1\uff0c\u53ef\u4ee5\u53bb\u8003\u5bdf\u8981\u6ee1\u8db3SRFS\u6d41\u53d8\u5b66\u6a21\u578b\u9700\u8981\u7b26\u5408\u4ec0\u4e48\u6837\u7684\u7279\u5f81\uff0c\u4ece\u800c\u53ef\u4ee5\u731c\u5230\u4e00\u4e9bSRFS\u7684\u672c\u8d28\uff0c\u540c\u65f6\u4e5f\u53ef\u4ee5\u770b\u770bSRFS\u53cd\u6620\u7684\u662f\u4ec0\u4e48\u201c\u7ed3\u6784\u677e\u5f1b\u201d\u3002\u8fd9\u9879\u5de5\u4f5c\u6211\u8fd8\u6ca1\u6709\u505a\uff0c\u56e0\u4e3a\u76ee\u524d\u63d0\u51fa\u7684\u80fd\u591f\u6bd4\u8f83\u5168\u9762\u5730\u63cf\u8ff0\u5c48\u670d\u5e94\u529b\u6d41\u4f53\u7684\u77ac\u6001\u6a21\u578b\u5e76\u4e0d\u591a\u3002\u8fd9\u6837\u7684\u672c\u6784\u65b9\u7a0b\u5f80\u5f80\u5c5e\u4e8estructural kinetic model\u7684\u7c7b\u578b\uff0c\u8bbe\u8ba1\u4e86\u5f88\u591a\u6ca1\u6709\u76f4\u63a5\u7269\u7406\u610f\u4e49\u7684\u8868\u8fbe\u5f0f\u51d1\u6765\u51d1\u53bb\u3002\u5982\u679c\u7528\u8fd9\u4e9b\u6a21\u578b\u53bb\u5c1d\u8bd5SRFS\uff0c\u65e0\u8bba\u662f\u6210\u8fd8\u662f\u4e0d\u6210\uff0c\u4f60\u90fd\u5f88\u96be\u83b7\u5f97\u4ec0\u4e48\u7269\u7406\u4e0a\u7684insight\u3002\u6240\u4ee5\uff0c\u6211\u5c31\u60f3\u6539\u7528\u4e00\u4e9b\u80f6\u4f53\u4f53\u7cfb\u7684first principle\u7684\u6d41\u53d8\u7406\u8bba\u3002\u9996\u5148\u60f3\u5230\u7684\u5c31\u662fMCT\u5411\u6d41\u53d8\u5b66\u7684\u63a8\u5e7f\uff0c\u5373Fuchs\u7b49\u4eba\u7684\u5de5\u4f5c[7]<\/a><\/span>\u3002\u5177\u4f53\u5730\uff0c\u662f\u5e0c\u671b\u91c7\u7528MCT-ITT\u7684\u4e00\u4e9b\u7b80\u5316\u7248schematic \"F_{12}^{\left(\dot\gamma\right)}\"-model\u3002\u4f7f\u7528\u8fd9\u4e2a\u6a21\u578b\u6765\u9884\u6d4bLAOS\u7ed3\u679c\u7684\u62a5\u9053\u5df2\u7ecf\u6709\u4e86[8]<\/a><\/span>\u3002MCT-ITT\u7684\u6570\u5b66\u8fdc\u8fdc\u8d85\u8fc7\u4e86\u6211\u7684\u80fd\u529b\uff0c\u6211\u662f\u6700\u8fd1\u627e\u5230\u4e86\u4e00\u4e2a\u61c2\u6570\u5b66\u7684\u670b\u53cb\u5e2e\u5fd9\u8ba1\u7b97MCT\uff0c\u624d\u8003\u8651\u8fd9\u4e2a\u95ee\u9898\u7684\u3002\u8fd9\u9879\u5de5\u4f5c\u6b63\u5728\u8fdb\u884c\u4e2d\uff0c\u5b58\u5728\u4e00\u4e9b\u95ee\u9898\uff0c\u7a0d\u540e\u518d\u8bf4\u3002<\/p>\n

\u8981\u56de\u7b54\u7b2c\u4e8c\u4e2a\u95ee\u9898\uff0c\u5373\u6709\u4ec0\u4e48\u6d41\u53d8\u5b66\u65b9\u6cd5\u80fd\u591f\u770b\u5230\u4f53\u7cfb\u5728\u975e\u7ebf\u6027\u6761\u4ef6\u4e0b\u7684\u7ed3\u6784\u677e\u5f1b\uff0c\u6211\u4eec\u5e94\u8be5\u9996\u5148\u628a\u60c5\u51b5\u7b80\u5316\u56de\u7a33\u6001\u526a\u5207\u3002\u8fb9\u8fdb\u884c\u7a33\u6001\u526a\u5207\uff0c\u8fb9\u8fdb\u884c\u677e\u5f1b\u6d4b\u8bd5\u7684\u6d41\u53d8\u5b66\u65b9\u6cd5\u662f\u6709\u7684\uff0c\u53eb\u505a\u201c\u53e0\u52a0\u6d41\u53d8\u5b66\u201d\uff0csuperposition rheology\u3002\u8fd9\u91cc\u7684superposition\u662f\u6307\u5728\u4e00\u4e2a\u7a33\u6001\u526a\u5207\u7684\u6d41\u573a\u4e0a\u53e0\u52a0\u4e00\u4e2a\u5c0f\u5e45\u632f\u8361\u7684\u6d41\u573a\u3002\u6837\u54c1\u7684\u54cd\u5e94\u53ef\u4ee5\u5206\u79bb\u6210\u7a33\u6001\u526a\u5207\u7684\u90e8\u5206\u548c\u5c0f\u5e45\u632f\u8361\u7684\u90e8\u5206\uff0c\u540e\u8005\u53ef\u4ee5\u6309\u7167\u7ebf\u6027\u54cd\u5e94\u7684\u505a\u6cd5\u5f97\u5230\u677e\u5f1b\u8c31\u3002\u4e00\u5171\u6709\u5e73\u884c\u548c\u6b63\u4ea4\u4e24\u79cd\u53e0\u52a0\u65b9\u6cd5\u3002\u6709\u62a5\u9053\u79f0\uff0c\u5e73\u884c\u53e0\u52a0\u7531\u4e8e\u8026\u5408\u7684\u56e0\u7d20\u5e76\u4e0d\u80fd\u83b7\u5f97\u771f\u6b63\u7684\u677e\u5f1b\u8c31[9]<\/a><\/span>\uff0c\u5fc5\u9762\u8981\u6b63\u4ea4\u53e0\u52a0\u7684\u624d\u53ef\u4ee5\u3002\u65e0\u8bba\u662f\u54ea\u79cd\u53e0\u52a0\uff0c\u90fd\u4e0d\u5bb9\u6613\u5728\u5546\u7528\u6d41\u53d8\u4eea\u4e0a\u5b9e\u73b0\u7684\uff0c\u9700\u8981\u8fdb\u884c\u6539\u9020\uff0c\u6240\u4ee5\u6211\u6682\u65f6\u4e0d\u80fd\u4eb2\u81ea\u505a\u8fd9\u6837\u7684\u5b9e\u9a8c\u3002\u6587\u732e\u62a5\u9053\u4e2d\u503c\u5f97\u7559\u610f\u7684\u6709\u5982\u4e0b\u8fd9\u4e9b\u3002[10]<\/a><\/span>\u5bf9\u9ad8\u5206\u5b50\u6eb6\u6db2\u505a\u4e86\u53e0\u52a0\u6d41\u53d8\u6d4b\u8bd5\uff0c\u53d1\u73b0\u6240\u5f97\u5230\u7684\u7ed3\u679c\u65e0\u6cd5\u8fdb\u884ctime-shear superposition\u3002[11]<\/a><\/span>\u5bf9\u805a\u4e59\u70ef\u7194\u4f53\u7684\u5b9e\u9a8c\u4e5f\u770b\u5230\u7c7b\u4f3c\u7684\u7ed3\u679c\u3002\u8fd9\u4e5f\u547c\u5e94\u4e86\u524d\u6587\u6240\u8bf4\u7f20\u7ed3\u4f53\u7cfb\u4e0d\u7b26\u5408SRFS\u7684\u73b0\u8c61\u3002\u80f6\u4f53\u4f53\u7cfb\u65b9\u9762\uff0c[12]<\/a><\/span>\u62a5\u9053\u4e86\u4e00\u4e9b\u672a\u53e0\u52a0\u7684\u5b9e\u9a8c\u7ed3\u679c\uff0c\u6211\u8fd8\u9700\u8981\u628a\u6587\u4e2d\u7684\u6570\u636e\u63d0\u53d6\u51fa\u6765\u5c1d\u8bd5\u53e0\u52a0\u6765\u9a8c\u8bc1\u4e00\u4e0b\u3002\u4f46\u662f[13]<\/a><\/span>\u5219\u51e0\u4e4e\u76f4\u63a5\u8bc1\u5b9e\u4e86time-shear superposition\u4e86\uff0c\u4f5c\u8005\u7ed9\u51fa\u4e86\u4e0d\u540c\u7a33\u6001\u5e94\u529b\u53e0\u52a0\u7684\u5c0f\u5e45\u626b\u9891\u66f2\u7ebf\uff0c\u5e76\u53e0\u52a0\u6210\u4e86\u4e3b\u66f2\u7ebf\uff0c\u4f46\u662f\u6ca1\u6709\u7ed9\u51fa\u76f8\u5e94\u7684\u526a\u5207\u901f\u7387\uff0c\u4e5f\u6ca1\u6709\u5bf9\u5e73\u79fb\u56e0\u5b50\u8fdb\u884c\u8ba8\u8bba\u3002\u4f46\u8fd9\u4e00\u62a5\u9053\u8bf4\u660e\uff0c\u80f6\u4f53\u4f53\u7cfb\u5728\u6d41\u53d8\u5b66\u884c\u4e3a\u4e0a\u4e5f\u662f\u7b26\u5408time-shear superposition\u7684\uff0c\u8ddf\u524d\u6587\u4ecb\u7ecd\u7684\u8fc7\u51b7\u6db2\u4f53\u7684\u6a21\u62df\u7ed3\u679c\u76f8\u547c\u5e94\u3002\u5728\u7ebf\u6027\u54cd\u5e94\u6761\u4ef6\u4e0b\uff0c\u6d41\u53d8\u5b66\u4e0a\u7684\u529b\u5b66\u677e\u5f1b\u8ddf\u7ed3\u6784\u677e\u5f1b\u4e4b\u95f4\u5c31\u5dee\u4e2aGreen-Kubo\u5173\u7cfb\u3002\u4f46\u662f\u5728\u975e\u7ebf\u6027\u6761\u4ef6\u4e0b\uff0c\u662f\u5426\u4ecd\u6709\u67d0\u79cd\u5e7f\u4e49\u7684Green-Kubo\u5173\u7cfb\uff1f\u8fd9\u81f3\u5c11\u662f\u7406\u8bba\u5bb6\u4eec\u5e38\u5e38\u91c7\u7528\u7684\u4e00\u79cd\u5047\u8bbe\u3002<\/p>\n

Schematic \"F_{12}^{\left(\dot\gamma\right)}\"-model<\/h3>\n

MCT\u5411\u6d41\u53d8\u5b66\u7684\u63a8\u5e7f\uff0c\u6709Fuchs\u7b49\u548cMiyazaki\u7b49\u7684\u4e24\u79cd\u505a\u6cd5\u3002Fuchs\u7b49\u4eba\u7684MCT-ITT\u53c8\u6709\u4e24\u79cd\u7b80\u5316\uff0c\u4e00\u79cd\u662fisotropically sheared hard sphere model\uff08ISHSM\uff09\uff0c\u53e6\u4e00\u79cd\u5c31\u662fschematic \"F_{12}^{\left(\dot\gamma\right)}\"-model\u3002<\/p>\n

Time-shear superposition\u5173\u7cfb\u5230\u03b2\u677e\u5f1b\u8fc7\u7a0b\u7684\u6807\u5ea6\u7279\u6027\u3002[14]<\/a><\/span>\u5bf9\u6b64\u8fdb\u884c\u4e86\u63a8\u5bfc\u3002\u5728\u73bb\u7483\u5316\u8f6c\u53d8\u9644\u8fd1\uff08\"\epsilon\rightarrow\uff09\u5bc6\u5ea6\u76f8\u5173\u51fd\u6570\"\phi_q\left(t\right)=f_q-A\left(t\/\tau\right)^b\"\uff0c\u5176\u4e2df<\/i>q<\/sub>\u662fDebye-Waller factor\u3002\u5728MCT\u7684\u505a\u6cd5\u4e2d\uff0c\u4f3c\u4e4e\u89c4\u5b9a\u4e86b<\/i>=1\u3002\u5176\u6b21\uff0c\u03c4<\/i>\u4e0e\"\dot\gamma\"\u7684\u5173\u7cfb\uff0c\u4e5f\u4f3c\u4e4e\u662f\u4eba\u4e3a\u89c4\u5b9a\u4e86\u7684\uff0c\u4f53\u73b0\u5728schematic \"F_{12}^{\left(\dot\gamma\right)}\"-model\u7684memory function\u5f62\u5f0f\u7684\u9009\u62e9\u4e0a\uff1a<\/p>\n

\"\"<\/p>\n

\u8fd9\u662f\u5426\u8bf4\u660e\u54ea\u6015\u662fMCT\u7406\u8bba\u4e5f\u5e76\u6ca1\u6709\u9053\u51fatime-shear superposition\u7684\u7269\u7406\u5b9e\u8d28\uff1f<\/p>\n

\u5269\u4e0b\u7684\u5de5\u4f5c\u53ef\u4ee5\u6709\u4e24\u9879\u3002\u4e00\u662f\u7ee7\u7eed\u5bfb\u627e\u5176\u4ed6first principle\u7684\u6a21\u578b\u3002\u4f8b\u5982Miyazaki\u7b49\u901a\u8fc7MCT\u8ba1\u7b97\u4e86\u4e0d\u540c\u7a33\u6001\u526a\u5207\"\dot\gamma\"\u4e0b\u7684\u5bc6\u5ea6\u76f8\u5173\u51fd\u6570\uff0c\u9884\u6d4b\u4e86time-shear superposition[15]<\/a><\/span>[16]<\/a><\/span>\u3002\u9664\u4e86MCT\u4e4b\u5916\uff0c\u7528\u975e\u7ebf\u6027Langevin\u65b9\u7a0b\u7406\u8bba\u4e5f\u9884\u6d4b\u51fa\u4e86\u8fd9\u79cd\u53e0\u52a0\u6027[17]<\/a><\/span>\u3002\u8fd9\u4e9b\u6a21\u578b\u90fd\u8ddfMCT-ITT\u4e0d\u4e00\u6837\uff0c\u53ef\u4ee5\u8bd5\u8bd5\u3002\u53e6\u4e00\u9879\u5de5\u4f5c\u5c31\u662f\u4ecd\u7136\u4f7f\u7528\"F_{12}^{\left(\dot\gamma\right)}\"-model\uff0c\u5728\u4f7f\u7528\u540c\u4e00\u5957\u8c03\u6574\u53c2\u6570\u7684\u60c5\u51b5\u4e0b\uff0c\u632f\u8361\u7684SRFS\u548c\u7a33\u6001\u7684time-shear superposition\u90fd\u505a\u4e00\u6b21\uff0c\u770b\u770b\u4e8c\u8005\u662f\u5426\u7b26\u5408\u540c\u6837\u7684scaling\uff0c\u4ee5\u6b64\u6765\u589e\u5f3a\u4e00\u4e0b\u6697\u793a\uff0c\u5373SRFS\u548ctime-shear superposition\u5f88\u53ef\u80fd\u6765\u81ea\u540c\u4e00\u4e2a\u7269\u7406\u673a\u5236\uff0c\u6216\u8005\u8bf4SRFS\u53cd\u6620\u4e86\u7ed3\u6784\u677e\u5f1b\u3002<\/p>\n

References<\/h2>\n
    \n
  1. <\/a>\nR. Yamamoto, and A. Onuki, \"Dynamics of highly supercooled liquids: Heterogeneity, rheology, and diffusion\", Physical Review E<\/i>, vol. 58, pp. 3515-3529, 1998. http:\/\/dx.doi.org\/10.1103\/PhysRevE.58.3515<\/a>\n\n\n<\/li>\n
  2. <\/a>\nL. Berthier, and J. Barrat, \"Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid\", The Journal of Chemical Physics<\/i>, vol. 116, pp. 6228-6242, 2002. http:\/\/dx.doi.org\/10.1063\/1.1460862<\/a>\n\n\n<\/li>\n
  3. <\/a>\nF. Varnik, \"Structural relaxation and rheological response of a driven amorphous system\", The Journal of Chemical Physics<\/i>, vol. 125, 2006. http:\/\/dx.doi.org\/10.1063\/1.2363998<\/a>\n\n\n<\/li>\n
  4. <\/a>\nA. Hess, and N. Aksel, \"Yielding and structural relaxation in soft materials: Evaluation of strain-rate frequency superposition data by the stress decomposition method\", Physical Review E<\/i>, vol. 84, 2011. http:\/\/dx.doi.org\/10.1103\/PhysRevE.84.051502<\/a>\n\n\n<\/li>\n
  5. <\/a>\nC. Kalelkar, A. Lele, and S. Kamble, \"Strain-rate frequency superposition in large-amplitude oscillatory shear\", Physical Review E<\/i>, vol. 81, 2010. http:\/\/dx.doi.org\/10.1103\/PhysRevE.81.031401<\/a>\n\n\n<\/li>\n
  6. <\/a>\nB.M. Erwin, S.A. Rogers, M. Cloitre, and D. Vlassopoulos, \"Examining the validity of strain-rate frequency superposition when measuring the linear viscoelastic properties of soft materials\", Journal of Rheology<\/i>, vol. 54, pp. 187-195, 2010. http:\/\/dx.doi.org\/10.1122\/1.3301247<\/a>\n\n\n<\/li>\n
  7. <\/a>\nM. Fuchs, \"Nonlinear Rheological Properties of Dense Colloidal Dispersions Close to a Glass Transition Under Steady Shear\", Advances in Polymer Science<\/i>, pp. 55-115, 2009. http:\/\/dx.doi.org\/10.1007\/12_2009_30<\/a>\n\n\n<\/li>\n
  8. <\/a>\nJ.M. Brader, M. Siebenb\u00fcrger, M. Ballauff, K. Reinheimer, M. Wilhelm, S.J. Frey, F. Weysser, and M. Fuchs, \"Nonlinear response of dense colloidal suspensions under oscillatory shear: Mode-coupling theory and Fourier transform rheology experiments\", Physical Review E<\/i>, vol. 82, 2010. http:\/\/dx.doi.org\/10.1103\/PhysRevE.82.061401<\/a>\n\n\n<\/li>\n
  9. <\/a>\nJ. Vermant, L. Walker, P. Moldenaers, and J. Mewis, \"Orthogonal versus parallel superposition measurements\", Journal of Non-Newtonian Fluid Mechanics<\/i>, vol. 79, pp. 173-189, 1998. http:\/\/dx.doi.org\/10.1016\/S0377-0257(98)00105-0<\/a>\n\n\n<\/li>\n
  10. <\/a>\nK. Osaki, M. Tamura, M. Kurata, and T. Kotaka, \"Complex Modulus of Concentrated Polymer Solutions in Steady Shear1<\/sup>\", The Journal of Physical Chemistry<\/i>, vol. 69, pp. 4183-4191, 1965. http:\/\/dx.doi.org\/10.1021\/j100782a020<\/a>\n\n\n<\/li>\n
  11. <\/a>\nT. Kataoka, and S. Ueda, \"Influence of superimposed steady shear flow on the dynamic properties of polyethylene melts\", Journal of Polymer Science Part A-2: Polymer Physics<\/i>, vol. 7, pp. 475-481, 1969. http:\/\/dx.doi.org\/10.1002\/pol.1969.160070303<\/a>\n\n\n<\/li>\n
  12. <\/a>\nB. van der Vorst, D. van den Ende, N.A. Tekin, and J. Mellema, \"Viscoelastic behavior of an ordering latex suspension in a steady shear flow\", Physical Review E<\/i>, vol. 57, pp. 3115-3122, 1998. http:\/\/dx.doi.org\/10.1103\/PhysRevE.57.3115<\/a>\n\n\n<\/li>\n
  13. <\/a>\nJ. Mewis, and G. Biebaut, \"Shear thickening in steady and superposition flows effect of particle interaction forces\", Journal of Rheology<\/i>, vol. 45, pp. 799-813, 2001. http:\/\/dx.doi.org\/10.1122\/1.1359761<\/a>\n\n\n<\/li>\n
  14. <\/a>\nD. Hajnal, and M. Fuchs, \"Flow curves of colloidal dispersions close to the glass transition\", The European Physical Journal E<\/i>, vol. 28, pp. 125-138, 2008. http:\/\/dx.doi.org\/10.1140\/epje\/i2008-10361-0<\/a>\n\n\n<\/li>\n
  15. <\/a>\nK. Miyazaki, and D.R. Reichman, \"Molecular hydrodynamic theory of supercooled liquids and colloidal suspensions under shear\", Physical Review E<\/i>, vol. 66, 2002. http:\/\/dx.doi.org\/10.1103\/PhysRevE.66.050501<\/a>\n\n\n<\/li>\n
  16. <\/a>\nK. Miyazaki, D. Reichman, and R. Yamamoto, \"Supercooled liquids under shear: Theory and simulation\", Physical Review E<\/i>, vol. 70, 2004. http:\/\/dx.doi.org\/10.1103\/PhysRevE.70.011501<\/a>\n\n\n<\/li>\n
  17. <\/a>\nE.J. Saltzman, G. Yatsenko, and K.S. Schweizer, \"Anomalous diffusion, structural relaxation and shear thinning in glassy hard sphere fluids\", Journal of Physics: Condensed Matter<\/i>, vol. 20, pp. 244129, 2008. http:\/\/dx.doi.org\/10.1088\/0953-8984\/20\/24\/244129<\/a>\n\n\n<\/li>\n<\/ol>\n\n<\/div> ","protected":false},"excerpt":{"rendered":"

    \u4e2d\u79cb\u8fd9\u4e24\u5929\u5047\u671f\uff0c\u6211\u90fd\u5728\u770bmode coupling theory\u7684\u6587\u732e\u3002\u82b1\u4e86\u5f88\u591a\u529f\u592b\uff0c\u7ed3\u679c\u5565\u4e5f\u6ca1\u771f\u6b63\u770b\u61c2\u3002\u4ee5\u540e\u53ef\u80fd\u4e0d\u4f1a\u518d\u50cf\u8fd9\u4e24\u5929\u8fd9\u4e48\u8ba4\u771f\u5730\u53bb\u770b\u8fd9\u73a9\u610f\u4e86\uff0c\u6240\u4ee5\u597d\u6b79\u8bb0\u5f55\u4e00\u4e0b\u3002 Time-shear superposition \u5bf9\u8fc7\u51b7\u6db2\u4f53\u7684\u6a21\u62df\u7814\u7a76\u53d1\u73b0\uff0c\u5728\u65bd\u52a0\u4e00\u4e2a\u7a33\u6001\u526a\u5207\u65f6\uff0c\u5176\u5bc6\u5ea6\u6216\u6563\u5c04\u81ea\u76f8\u5173\u51fd\u6570\u7684\u03b1\u677e\u5f1b\u968f\u589e\u5927\u5411\u77ed\u65f6\u95f4\u65b9\u5411\u79fb\u52a8\uff0c\u677e\u5f1b\u65f6\u95f4\u51cf\u5c0f\u3002\u5982\u679c\u628a\u4e0d\u540c\u7684\u81ea\u76f8\u5173\u51fd\u6570\u6539\u5bf9\u4e00\u4e2a\u7ea6\u5316\u7684\u65f6\u95f4t\/\u03c4\u4f5c\u56fe\uff0c\u5404\u66f2\u7ebf\u7684\u03b1\u677e\u5f1b\u90e8\u5206\u80fd\u591f\u53e0\u52a0\u6210\u4e00\u6761\u4e3b\u66f2\u7ebf\u3002\u03c4\u8ddf\u7684\u5173\u7cfb\u5f80\u5f80\u5177\u6709\u7684\u5f62\u5f0f\uff0ca\u5f88\u63a5\u8fd11\u3002\u8fd9\u4e2a\u73b0\u8c61\u8bf4\u660e\uff0c\u7a33\u6001\u526a\u5207\u80fd\u591f\u7f29\u77ed\u03b1\u677e\u5f1b\u7684\u65f6\u95f4\u5c3a\u5ea6\uff0c\u4f46\u4e0d\u6539\u53d8\u677e\u5f1b\u66f2\u7ebf\u7684\u5f62\u72b6\uff0c\u8fd9\u4e00\u73b0\u8c61\u53c8\u88ab\u79f0\u4e3atime-shear superposition\u3002 Strain rate-frequency superposition 2007\u5e74Wyss\u7b49\u62a5\u9053\uff0c\u5728\u51e0\u79cd\u4e0d\u540c\u7684\u6d53\u80f6\u4f53\u4f53\u7cfb\u90fd\u5448\u73b0\u6240\u8c13strain rate-frequency superposition\uff08SRFS\uff09\uff1a\u5bf9\u6837\u54c1\u65bd\u52a0\u632f\u8361\u526a\u5207\uff0c\u5728\u6052\u5b9a\u5e94\u53d8\u901f\u7387\u5e45\u503c\u6761\u4ef6\u4e0b\u626b\u9891\u7387\uff0c\u5f97\u5230G’(\u03c9)\u3001G”(\u03c9)\u66f2\u7ebf\u3002\u6052\u5b9a\u4e0d\u540c\u5927\u5c0f\u7684\u7684\u66f2\u7ebf\u53ef\u5e73\u79fb\u53e0\u52a0\u6210\u4e00\u6761\u4e3b\u66f2\u7ebf\u3002\u5e73\u79fb\u56e0\u5b50\u03c4\u4e0e\u7684\u5173\u7cfb\u4e5f\u6709\u7684\u89c4\u5f8b\u3002\u800c\u4e14\u4e3b\u66f2\u7ebf\u7684\u5f62\u72b6\u8ddf\u5178\u578b\u7684\u7ebf\u6027\u626b\u9891\u8c31\u56fe\u76f8\u4f3c\uff0c\u53ef\u4ee5\u770b\u5230\u201c\u672b\u7aef\u533a\u201d\u3002Wyss\u8ba4\u4e3a\u8fd9\u5c31\u662f\u5916\u90e8\u526a\u5207\u52a0\u901f\u4e86\u6837\u54c1\u7684\u7ed3\u6784\u677e\u5f1b\uff0c\u5e73\u79fb\u56e0\u5b50\u03c4\u5c31\u662f\u677e\u5f1b\u65f6\u95f4\uff0c\u5b83\u8ddf\u7684\u5173\u7cfb\u8ddf\u4e0a\u8ff0\u7684\u7a33\u6001\u526a\u5207\u7684\u62a5\u9053\u7ed3\u679c\u662f\u6765\u81ea\u540c\u4e00\u4e2a\u7269\u7406\u673a\u5236\u3002\u5f88\u591a\u4eba\u8ffd\u968fWyss\u7684\u8bf4\u6cd5\uff0c\u5bf9\u66f4\u591a\u7684\u4f53\u7cfb\u8fdb\u884c\u4e86\u76f8\u540c\u7684\u5b9e\u9a8c\uff0c\u6700\u8fd1\u7684\u4e00\u4e2a\u62a5\u9053\u662f\uff0c\u8bf4\u660eSRFS\u73b0\u8c61\u662f\u5177\u6709\u666e\u904d\u6027\u7684\u3002 \u9996\u5148\uff0c\u6211\u89c9\u5f97\u6240\u8c13\u7684strain rate-frequency superposition\u4e25\u683c\u6765\u8bb2\u5e94\u8be5\u79f0\u4e3atime-shear rate superposition\u3002\u5047\u5982\u6309\u7167Wyss\u7684\u610f\u89c1\uff0c\u8fd9\u6837\u7684\u6052\u5b9a\u7684\u626b\u9891\u7ed3\u679c\u786e\u5b9e\u662f\u4e00\u79cd\u677e\u5f1b\u8c31\u7684\u8bdd\uff0c\u90a3\u4e48\u9891\u7387\u53ea\u662f\u65f6\u95f4\u5728Fourier\u53d8\u6362\u4e4b\u540e\u7684\u5750\u6807\u800c\u5df2\u3002\u201c\u65f6\u6e29\u53e0\u52a0\u539f\u7406\u201d\u4e0d\u4f1a\u56e0\u4e3a\u505a\u4e86\u5c0f\u5e45\u626b\u9891\u5b9e\u9a8c\u5c31\u6539\u79f0\u201c\u6e29\u9891\u53e0\u52a0\u201d\u3002 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\u95ee\u9898\u7684\u63d0\u51fa \u4e8e\u662f\u6211\u60f3\uff0c1) SRFS\u770b\u5230\u7684\u5b9e\u8d28\u5230\u5e95\u662f\u4ec0\u4e48\uff1f\u5982\u679c\u5b83\u771f\u7684\u770b\u5230\u4e86\u4f53\u7cfb\u7684\u7ed3\u6784\u677e\u5f1b\uff0c\u5982\u4f55\u8bc1\u660e\u8fd9\u4e2a\u5bf9\u5e94\u5173\u7cfb\uff1f2) \u5982\u679c\u4e0d\u662f\uff0c\u90a3\u4e48\u6709\u4ec0\u4e48\u522b\u7684\u6d41\u53d8\u5b66\u65b9\u6cd5\uff0c\u80fd\u591f\u770b\u5230\u4f53\u7cfb\u5728\u975e\u7ebf\u6027\u6761\u4ef6\u4e0b\u7684\u7ed3\u6784\u677e\u5f1b\u5417\uff1f \u5bf9\u7b2c\u4e00\u4e2a\u95ee\u9898\uff0c\u53ef\u4ee5\u5148\u5148\u501f\u52a9\u6a21\u578b\u6765\u5bf9SRFS\u73b0\u8c61\u52a0\u6df1\u7406\u89e3\u3002\u6d41\u53d8\u5b9e\u9a8c\u89c2\u5bdf\u5230\u7684SRFS\u4e5f\u597d\uff0c\u8fc7\u51b7\u6db2\u4f53\u7684\u6a21\u62df\u4e2d\u89c2\u5bdf\u5230\u7684\u7ed3\u6784\u677e\u5f1b\u4e5f\u597d\uff0c\u4ece\u76ee\u524d\u62a5\u9053\u6765\u770b\u8fd9\u4e9b\u73b0\u8c61\u4f3c\u4e4e\u90fd\u662f\u73bb\u7483\u4f53\u7cfb\u7684\u7279\u5f81\u3002\uff08\u9ad8\u5206\u5b50\uff09\u7f20\u7ed3\u4f53\u7cfb\u6709\u6ca1\u6709\u8fd9\u6837\u7684\u7279\u5f81\u5462\uff1f\u4e3a\u4ec0\u4e48\u5728\u5386\u53f2\u4e0d\u77ed\u7684\u805a\u5408\u7269\u6d41\u53d8\u5b66\u7814\u7a76\u4e2d\u6ca1\u4eba\u62a5\u9053\u8fc7\u7c7b\u4f3c\u7684\u73b0\u8c61\u5462\uff1f\u6211\u5b9e\u9a8c\u5ba4\u7684\u6d41\u53d8\u4eea\u6ca1\u6709\u914doven\uff0c\u4e0d\u80fd\u505a\u9ad8\u5206\u5b50\u7194\u4f53\u3002\u6211\u5c31\u914d\u5236\u4e86\u4e00\u70b9worm-like 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\u90a3\u4e48\uff0c\u9002\u7528\u4e8e\u80f6\u4f53\u4f53\u7cfb\u7684\u6d41\u53d8\u5b66\u6a21\u578b\uff0c\u662f\u5426\u5c31\u90fd\u4e00\u5b9a\u80fd\u7b26\u5408SRFS\u5462\uff1f\u6211\u770b\u4e0d\u4e00\u5b9a\u3002\u4e5f\u8bb8\u4ece\u8fd9\u4e2a\u89d2\u5ea6\u51fa\u53d1\uff0c\u53ef\u4ee5\u53bb\u8003\u5bdf\u8981\u6ee1\u8db3SRFS\u6d41\u53d8\u5b66\u6a21\u578b\u9700\u8981\u7b26\u5408\u4ec0\u4e48\u6837\u7684\u7279\u5f81\uff0c\u4ece\u800c\u53ef\u4ee5\u731c\u5230\u4e00\u4e9bSRFS\u7684\u672c\u8d28\uff0c\u540c\u65f6\u4e5f\u53ef\u4ee5\u770b\u770bSRFS\u53cd\u6620\u7684\u662f\u4ec0\u4e48\u201c\u7ed3\u6784\u677e\u5f1b\u201d\u3002\u8fd9\u9879\u5de5\u4f5c\u6211\u8fd8\u6ca1\u6709\u505a\uff0c\u56e0\u4e3a\u76ee\u524d\u63d0\u51fa\u7684\u80fd\u591f\u6bd4\u8f83\u5168\u9762\u5730\u63cf\u8ff0\u5c48\u670d\u5e94\u529b\u6d41\u4f53\u7684\u77ac\u6001\u6a21\u578b\u5e76\u4e0d\u591a\u3002\u8fd9\u6837\u7684\u672c\u6784\u65b9\u7a0b\u5f80\u5f80\u5c5e\u4e8estructural kinetic 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superposition\u3002\u76ee\u524d\u6709\u4e00\u4e2a\u201c\u5e7f\u4e49FDT\u201d\u7684\u552f\u8c61\u6846\u67b6\uff0c\u4fdd\u6301\u4e86FDT\u7684\u57fa\u672c\u5f62\u5f0f\uff0c\u53ef\u4ee5\u89e3\u91ca\u7269\u7406\u8001\u5316\u8fd9\u4e00\u8fdc\u79bb\u5e73\u8861\u6001\u8fc7\u7a0b\u4e0b\u76f8\u5173\u51fd\u6570\u548c\u54cd\u5e94\u51fd\u6570\u4e4b\u95f4\u7684\u5173\u8054\u7cfb\uff0c\u5f15\u5165\u4e86\u7b49\u6548\u6e29\u5ea6Teff\u7684\u6982\u5ff5\u3002\u4f46\u662f\u5177\u4f53\u662f\u4ec0\u4e48\u7ed3\u6784\u5728\u63a7\u5236\u7740Teff\uff0c\u8fd8\u7f3a\u4e4f\u80fd\u56de\u7b54\u6b64\u95ee\u9898\u7684\u7ed3\u6784\u6a21\u578b\u3002\u73b0\u5728\u4e00\u4e9b\u80fd\u9884\u6d4b\u7269\u7406\u8001\u5316\u7684\u6a21\u578b\uff0c\u6700\u5e38\u7528\u7684\u8981\u6570\u57fa\u4e8etrap model\u7684soft glassy 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landscape\u4e2d\u627e\u5230\u5230\u8fbe\u7ec8\u6781\u5e73\u8861\u6001\u7684\u8def\u5f84\u3002\u56e0\u6b64\u5f88\u96be\u60f3\u8c61\uff0c\u5904\u4e8e\u4e0d\u540c\u72b6\u6001\u7684\u677e\u5f1b\u5355\u5143\u5728\u5411\u7740\u5e73\u8861\u6001\u8fdb\u53d1\u7684\u65f6\u5019\u603b\u662f\u201c\u4fdd\u6301\u4e00\u81f4\u7684\u961f\u5f62\u201d\uff0c\u56e0\u4e3a\u4ed6\u4eec\u6240\u5904\u7684\u73af\u5883\u5f80\u5f80\u4e0d\u4e00\u6837\uff0c\u6709\u7684\u80fd\u627e\u5230\u6377\u5f84\u6709\u7684\u8981\u8d70\u5f2f\u8def\u624d\u66f4\u7b26\u5408\u4eba\u7684\u76f4\u89c9\uff0c\u5404\u5355\u5143\u7684\u677e\u5f1b\u5982\u679c\u6709\u5feb\u6709\u6162\u7684\u8bdd\uff0c\u677e\u5f1b\u65f6\u95f4\u7684\u5206\u5e03\u5c31\u4f1a\u968f\u7740\u8001\u5316\u65f6\u95f4\u4e00\u76f4\u53d8\u5316\uff0c\u4f46\u4e8b\u5b9e\u5374\u4e0d\u662f\u8fd9\u6837\u3002time\u2013aging time superposition\u7684\u73b0\u8c61\u7684\u81ea1978\u5e74Struik\u63d0\u51fa\u4ee5\u6765\u5230\u73b0\u5728\uff0c\u5df2\u7ecf\u4e3a\u4eba\u6240\u719f\u77e5\uff0c\u4f46\u662f\u6211\u4f3c\u4e4e\u6ca1\u6709\u542c\u8bf4\u8fc7\u5bf9\u6b64\u73b0\u8c61\u7684\u89e3\u91ca\u3002\u4e5f\u8bb8\u662f\u5728\u4e8e\u8fdc\u79bb\u5e73\u8861\u6001\u7684\u975e\u5e73\u8861\u7269\u7406\u603b\u4f53\u8fd8\u6709\u5f85\u53d1\u5c55\uff1f \u6211\u7684\u7406\u8bba\u57fa\u7840\u6bd4\u8f83\u5dee\uff0c\u4e0d\u662f\u592a\u719f\u6089\u7406\u8bba\u7269\u7406\u65b9\u9762\u7684\u7814\u7a76\u73b0\u72b6\u3002\u76ee\u524d\u5982\u679c\u60f3\u5c31\u6b64\u95ee\u9898\u5728\u5b9e\u9a8c\u4e0a\u66f4\u6df1\u5165\u4e00\u6b65\u7684\u8bdd\uff0c\u53ea\u80fd\u53d8\u7740\u6cd5\u5b50\u53bb\u8bd5\u63a2time\u2013aging time superposition\u7684\u9002\u7528\u8303\u56f4\u9650\u5ea6\u5728\u54ea\u91cc\u3002\u5c31\u597d\u50cf\u5bf9\u70ed\u6d41\u53d8\u590d\u6742\u6027\u7684\u7814\u7a76\u90a3\u6837\uff0c\u5982\u679c\u628atime\u2013aging time superposition\u79f0\u4e3a\u201c\u7b80\u5355\u8001\u5316\u201d\uff0c\u90a3\u4e48\u662f\u5426\u80fd\u591f\u63a2\u7d22\u5177\u6709\u201c\u590d\u6742\u8001\u5316\u201d\u7684\u4f53\u7cfb\uff1f\u6839\u636e\u4e0a\u6587\u7684\u4e00\u4e9b\u731c\u6d4b\uff0c\u5b9e\u9a8c\u8bbe\u8ba1\u7684\u65b9\u5411\u53ef\u80fd\u5728\u4e8e\u529b\u6c42\u7834\u574fMaxwell-Boltzmann\u5206\u5e03\u7684\u9002\u7528\u6027\u3002\u5982\u679c\u80fd\u591f\u4ece\u5b9e\u9a8c\u4e0a\u5c55\u793a\u51fa\u4ec0\u4e48\u65f6\u540e\u6709\u7b80\u5355\u8001\u5316\uff0c\u4ec0\u4e48\u65f6\u5019\u6709\u590d\u6742\u8001\u5316\uff0c\u4e5f\u8bb8\u5bf9\u7269\u7406\u8001\u5316\u7406\u8bba\u6a21\u578b\u7684\u7814\u7a76\u5177\u6709\u53c2\u8003\u610f\u4e49\u3002","rel":"","context":"In "\u5de5\u4f5c\u7b14\u8bb0"","block_context":{"text":"\u5de5\u4f5c\u7b14\u8bb0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/personal\/%e5%b7%a5%e4%bd%9c%e7%ac%94%e8%ae%b0"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":4792,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/4792","url_meta":{"origin":5675,"position":1},"title":"\u65f6\u6e29\u53e0\u52a0\u5f97\u5230\u7684\u677e\u5f1b\u65f6\u95f4\u662f\u4ec0\u4e48\u677e\u5f1b\u65f6\u95f4\uff1f","author":"Andrew","date":"2012\u5e747\u670814\u65e5","format":false,"excerpt":"\u8fd9\u4e2a\u95ee\u9898\u641e\u4e86\u6211\u4e00\u4e2a\u901a\u5bb5\uff0c\u8bb0\u5f55\u4e00\u4e0b\u3002 \u65f6\u6e29\u53e0\u52a0\u6027\u8d28\u662f\u6307\u4f53\u7cfb\u5728\u4e0d\u540c\u6e29\u5ea6\u6d4b\u91cf\u5f97\u5230\u7684\u76f8\u5173\u51fd\u6570\u6216\u54cd\u5e94\u51fd\u6570\u53ef\u5728\u65f6\u95f4\u8f74\u5e73\u79fb\u53e0\u52a0\u6210\u4e00\u6761\u4e3b\u66f2\u7ebf\u3002\u5e73\u79fb\u56e0\u5b50aT\u5e38\u5e38\u8ba4\u4e3a\u662f\u677e\u5f1b\u65f6\u95f4\u7684\u6bd4\u503c\uff1a \u4f46\u662f\uff0c\u5b9e\u9645\u6837\u54c1\u5f80\u5f80\u5177\u6709\u4e00\u4e2a\u8f83\u5bbd\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\u3002\u90a3\u4e48\u4e0a\u5f0f\u4e2d\u7684\u677e\u5f1b\u65f6\u95f4\u5230\u5e95\u662f\u54ea\u4e2a\u503c\uff0c\u662f\u5e73\u5747\u503c\u8fd8\u662f\u6700\u5927\u503c\u8fd8\u662f\u4ec0\u4e48\uff1f \u73bb\u7483\u6001\u4f53\u7cfb\u7684\u76f8\u5173\u51fd\u6570\u6216\u54cd\u5e94\u51fd\u6570\u5e38\u5e38\u7b26\u5408Kohlrausch-Williams-Watts\uff08KWW\uff09\u5173\u7cfb\uff1a \u5982\u679c\u4f53\u7cfb\u53ea\u6709\u4e00\u4e2a\u677e\u5f1b\u65f6\u95f4\u503c\uff0c\u5219\u03b2 = 1\uff0c\u03c40\u5c31\u662f\u677e\u5f1b\u65f6\u95f4\u3002\u5982\u679c0 < \u03b2 < 1\uff0c\u5219\u53cd\u6620\u4f53\u7cfb\u6709\u4e00\u4e2a\u5bbd\u5206\u5e03\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\u3002\u03c40\u53ea\u80fd\u662f\u4e00\u4e2a\u7528\u6765\u63cf\u8ff0\u76f8\u5173\u51fd\u6570\u6216\u54cd\u5e94\u51fd\u6570\u7684\u7279\u5f81\u65f6\u95f4\u3002\u65f6\u6e29\u53e0\u52a0\u5f97\u5230\u7684\u5c31\u662f\u03c40\u7684\u6bd4\u503c\u3002\u03c40\u8ddf\u677e\u5f1b\u65f6\u95f4\u8c31\u6709\u4ec0\u4e48\u5173\u7cfb\u5462\uff1f\u5b83\u662f\u4e0d\u662f\u5c31\u662f\u5e73\u5747\u677e\u5f1b\u65f6\u95f4<\u03c4>\u5462\uff1f \u4ee5\u5e94\u529b\u677e\u5f1b\u4e3a\u4f8b\uff0c\u5047\u8bbe\u6837\u54c1\u53ef\u8868\u793a\u6210\u65e0\u6570\u4e2aMaxwell\u6a21\u578b\u7684\u548c\uff1a \u5176\u4e2dg(\u03c4)\u662f\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u51fd\u6570\u3002\u5b83\u4e0e\u66f4\u5e38\u7528\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\u7684\u5173\u7cfb\u662fH(\u03c4)=\u03c4g(\u03c4)\u3002\u7531\u4e8eG(t)\u7b26\u5408KWW\u65b9\u7a0b\uff0c\u5219\u6709 \u4ee4u=1\/\u03c4\uff0c\u4e0a\u5f0f\u5c31\u53d8\u6210\u4e00\u4e2aLaplace\u53d8\u6362\uff1a \u4e3a\u4e86\u5f97\u5230g(\u03c4)\uff0c\u987b\u8ba1\u7b97\u4ee5\u4e0b\u53cdLaplace\u53d8\u6362\uff1a g(\u03c4)\u7684n\u9636\u77e9<\u03c4n>\uff1a \u6240\u4ee5 \u5373\u5bf9\u4e8e\u4e00\u4e2a\u6ee1\u8db3KWW\u578b\u54cd\u5e94\u51fd\u6570G(t)\u7684\u4f53\u7cfb\uff0c\u5176\u5e73\u5747\u677e\u5f1b\u65f6\u95f4<\u03c4>\u4e0eKWW\u65b9\u7a0b\u7684\u7279\u5f81\u65f6\u95f4\u03c40\u6210\u6b63\u6bd4\uff0c\u56e0\u6b64\u5e73\u79fb\u56e0\u5b50aT\u786e\u5b9e\u662f\u5e73\u5747\u677e\u5f1b\u65f6\u95f4\u7684\u6bd4\u503c \u3002 \u66f4\u9ebb\u70e6\u7684\u95ee\u9898\u662f\uff0c\u505a\u52a8\u6001\u6d4b\u8bd5\u7684\u65f6\u5019\uff0cG' = G''\u5904\u6240\u5bf9\u5e94\u7684\u9891\u7387\u5012\u6570\u662f\u4ec0\u4e48\u65f6\u95f4\uff1f\u5f88\u591a\u5730\u65b9\u8bf4\u8fd9\u662f\u6700\u5927\u677e\u5f1b\u65f6\u95f4\uff08maximum relaxation time\uff09\u03c4m\uff0c\u5373\u5f53\u89c2\u5bdf\u65f6\u95f4\u65f6\u95f4\u8d85\u8fc7\u03c4m\uff0c\u5c31\u53ef\u4ee5\u770b\u5230\u6837\u54c1\u7684\u6d41\u52a8\u3002\u53ef\u662f\uff0c\u4e00\u4e2a\u54cd\u5e94\u51fd\u6570\u7b26\u5408KWW\u65b9\u7a0b\u7684\u6837\u54c1\uff0c\u662f\u5426\u5177\u6709\u786e\u5b9a\u7684\u6700\u5927\u677e\u5f1b\u65f6\u95f4\uff1f\u4e5f\u5c31\u662f\u8bf4\uff0c\u5176\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u51fd\u6570g(\u03c4)\u662f\u5426\u6709\u786e\u5b9a\u7684\u5b9a\u4e49\u57df\uff0c\u4f7f\u5f97\u5f53\u03c4>\u03c4m\u65f6g(\u03c4) = 0\uff1f\u8fd9\u4e2a\u90fd\u4e0d\u597d\u8bf4\u3002\u201c\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u201d\u7684\u6982\u5ff5\u8ddf\u677e\u5f1b\u65f6\u95f4\u8c31\u7684\u5173\u7cfb\uff0c\u591a\u6570\u89c1\u4e8e\u4eba\u4e3a\u7ed9\u5b9a\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\uff0c\u4f8b\u5982Wedge-Box distribution\u3001BSW distribution\u7b49\u7b49\u3002\u7ed9\u5b9ag(\u03c4)\uff0c\u5012\u662f\u53ef\u4ee5\u5206\u522b\u8ba1\u7b97G'\u548cG'' \u4ee4G' = G''\uff0c\u628a\u4e0a\u9762\u4e24\u5f0f\u8054\u8d77\u6765\u89e3\u51fa\u03c9\u6765\uff0c\u5c31\u80fd\u6c42\u5f97\u6240\u8c13\u7684\u201c\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u201d\u662f\u5565\uff0c\u4f46\u8fd9\u4e2a\u592a\u96be\u4e86\u2026\u2026\u53c8\u636e\u8bf4\uff0cG' = G''\u65f6\u7684\u03c9\u4e5f\u5c31\u662fG''\u6700\u5927\u503c\u65f6\u7684\u03c9\u3002\u5219\u4e0a\u9762\u7b2c\u4e8c\u4e2a\u5f0f\u5b50\u6c42\u5bfc\uff0c\u5c31\u5269\u4e0b\u88ab\u79ef\u51fd\u6570\u4e86\u3002\u90a3\u5768\u4e1c\u897f\u4e2d\u53f3\u8fb9\u7684\u5206\u5f0f\u662f\u975e\u96f6\u7684\uff0c\u6240\u4ee5\u552f\u6709\u8ba9g(\u03c4)=0\u3002\u8fd9\u5c31\u53c8\u56de\u5230\u4e4b\u524d\u95ee\u7684\u90a3\u4e2a\u95ee\u9898\u4e86\uff1ag(\u03c4)\u662f\u5426\u6709\u786e\u5b9a\u7684\u5b9a\u4e49\u57df\uff0c\u4f7f\u5f97\u5f53\u03c4>\u03c4m\u65f6g(\u03c4) = 0\uff1f \u6709\u4eba\u7ed9\u51fa\uff08\u89c1\u53c2\u8003\u6587\u732e\uff09\u4e86g(\u03c4)\u7684\u8fd1\u4f3c\u8868\u8fbe\u5f0f\uff0c\u662f\u4e2a\u542bGamma\u51fd\u6570\u7684\u7ea7\u6570\u3002\u8981\u6211\u89e3g(\u03c4) = 0\u51e0\u4e4e\u662f\u4e0d\u53ef\u80fd\u7684\u2026\u2026 \u8fd8\u6709\u4e00\u4e2a\u53ef\u80fd\u7684\u89e3\u51b3\u65b9\u6cd5\uff0c\u5c31\u662f\u91c7\u7528\u677e\u5f1b\u65f6\u95f4\u8c31\u7684\u4e00\u4e9b\u8fd1\u4f3c\u7b97\u6cd5\u3002\u4f8b\u5982\uff1a \u8fd9\u5c31\u53ef\u76f4\u63a5\u4eceG(t)\u53bb\u8ba1\u7b97\u677e\u5f1b\u65f6\u95f4\u8c31H(\u03c4)=\u03c4g(\u03c4)\uff0c\u7136\u540e\u4ee3\u5165\u4e0a\u9762\u7684\u5f0f\u5b50\u7b97\u51faG'\u548cG''\uff0c\u89e3\u51fa\u201c\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u201d\u6765\u3002\u4f46\u603b\u4e4b\u90a3\u4e24\u4e2a\u79ef\u5206\u8fd8\u662f\u5f88\u96be\u641e \u6211\u731c\u6d4b\u8ba1\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u03c4m\u4e5f\u662f\u8ddf\u03c40\u548c\u03b2\u6709\u5173\uff0c\u4f46\u662f\u5426\u6b63\u6bd4\u4e8e\u03c40\u5c31\u4e0d\u77e5\u9053\u4e86\u3002\u771f\u7684\u4e0d\u884c\u7684\u8bdd\uff0c\u6211\u53ea\u80fd\u5728MATLAB\u6570\u503c\u7b97\u4e00\u4e0b\uff0c\u8003\u5bdf\u4e00\u4e0b\u4e0d\u540c\u03b2\u503c\u4e0b\u7684\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u03c4m\u3001\u5e73\u5747\u677e\u5f1b\u65f6\u95f4<\u03c4>\u548cKWW\u7684\u7279\u5f81\u65f6\u95f4\u03c40\u4e4b\u95f4\u7684\u8868\u89c2\u5173\u7cfb\uff0c\u770b\u80fd\u5426\u8fd1\u4f3c\u8ba4\u4e3a\u03c4m\u8ddf\u03c40\u6210\u6b63\u6bd4\u3002\u5982\u679c\u80fd\uff0c\u5219\u65f6\u6e29\u53e0\u52a0\u5f97\u5230\u7684\u5e73\u79fb\u56e0\u5b50\uff0c\u540c\u65f6\u4e5f\u662f\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u4e4b\u6bd4\uff1a \u53c2\u8003\u6587\u732e\uff1aJ. Chem. Phys. 73:3348\uff0cText. Res. J. 21:404","rel":"","context":"In "\u5de5\u4f5c\u7b14\u8bb0"","block_context":{"text":"\u5de5\u4f5c\u7b14\u8bb0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/personal\/%e5%b7%a5%e4%bd%9c%e7%ac%94%e8%ae%b0"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":772,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/772","url_meta":{"origin":5675,"position":2},"title":"\u5173\u4e8eStrain-Rate Frequency Superposition\u7684\u770b\u6cd5","author":"Andrew","date":"2010\u5e742\u67089\u65e5","format":false,"excerpt":"Brian M. Erwin, Simon A. Rogers, Michel Cloitre, & Dimitris Vlassopoulos (2010). Examining the validity of strain-rate frequency superposition when measuring the linear viscoelastic properties of soft materials Journal of Rheology, 54 (2), 187-195Strain-Rate Frequency Superposition\uff08SRFS\uff09\u7684\u6587\u7ae0\u4f1a\u4e0d\u4f1a\u5982\u96e8\u540e\u6625\u7b0b\u822c\u66b4\u53d1\u6211\u4e0d\u6e05\u695a\u3002\u6709\u5f88\u591a\u6211\u5f88\u4e0d\u4ee5\u4e3a\u7136\u7684\u4e1c\u897f\u90fd\u83ab\u540d\u5176\u5999\u5730\u66b4\u53d1\u8fc7\u4e86\uff0c\u6559\u8bad\u5c31\u662f\u5343\u4e07\u522b\u8ddf\u6587\u7ae0\u4e0a\u5199\u7684\u4e1c\u897f\u8f83\u771f\u3002SRFS\u662fH. Wyss\u7b49\u4eba\uff08D. Weitz\u5c0f\u7ec4\uff09\u53d1\u8868\u5728PRL 98:238303\u4e0a\u7684\u5de5\u4f5c\uff0c\u662f\u5728\u80f6\u4f53\u73bb\u7483\u7b49\u8bb8\u591a\u8f6f\u7269\u8d28\u4e0a\u53d1\u73b0\u7684\u53ef\u53e0\u52a0\u73b0\u8c61\u3002\u505a\u6d41\u53d8\u7684\u670b\u53cb\u5e94\u8be5\u591a\u591a\u5c11\u5c11\u4e5f\u7559\u610f\u5230\u8fd9\u9879\u7814\u7a76\u4e86\u3002\u5176\u4ed6\u7ec4\u540e\u7eed\u8ddf\u8e2a\u7684\u4e0d\u5c11\u3002\u6211\u4e5f\u7b97\u662f\u8ddf\u8e2a\u4e86\u4e00\u4e0b\uff0c\u6587\u7ae0\u8fd8\u6ca1\u51fa\u7089\u3002\u6240\u4ee5\u6211\u5728\u8fd9\u91cc\u8981\u8c08\u8c08\u770b\u6cd5\u3002\u8fd9\u4e1c\u897f\u5982\u679c\u4e0d\u662f\u4e00\u4e2a\u5f88\u82b1\u4fcf\u7684\u5e9f\u7269\uff0c\u90a3\u5c31\u662f\u91cd\u5927\u53d1\u73b0\u7684\u5f00\u7aef\u3002\u73b0\u5728\u770b\u6765\u50cf\u524d\u8005\u591a\u4e00\u70b9\u3002 \u7ed9\u5b9aPRL\u90a3\u7bc7\u6587\u7ae0\uff0c\u8d77\u7801\u8981\u6709\u4ee5\u4e0b\u7684\u7591\u95ee\uff1aPRL\u90a3\u7bc7\u6587\u7ae0\u662f\u8bf4\uff0cSRFS\u5728\u5f88\u591a\u8f6f\u7269\u8d28\u6750\u6599\u4f53\u7cfb\u4e0a\u90fd\u6709\uff0c\u751a\u81f3\u6309\u7167\u6211\u7406\u89e3H. Wyss\u7684\u610f\u601d\uff0c\u53ea\u8981\u4e00\u4e2a\u8f6f\u7269\u8d28\u5728dynamic strain sweep\u4e0b\u51fa\u73b0\u5178\u578b\u5982\u53f3\u56fe\u7684\u884c\u4e3a\uff0c\u5c31\u4e00\u5b9a\u7b26\u5408SRFS\uff08\u8be6\u89c1SRFS\u7684\u4ecb\u7ecd\u7f51\u9875\uff09\u3002\u8fd9\u5230\u5e95\u6709\u4ec0\u4e48\u7269\u7406\u4e0a\u7684\u6839\u636e\uff1f\u6700\u7ec8\u5230\u5e95\u6ee1\u8db3\u4ec0\u4e48\u6761\u4ef6\u7684\u6750\u6599\u5c31\u4f1a\u6709\uff0c\u4e0d\u6ee1\u8db3\u5c31\u6ca1\u6709\uff1f\u5de6\u56fe\u7684\u6570\u5b66\u5173\u7cfb\uff0c\u5df2\u7ecf\u5728\u8bb8\u591a\u5b9e\u9a8c\u4e2d\u8bc1\u5b9e\u4e86\uff0c\u5982\u679c\u8003\u8651\u7c98\u5ea6\u548c\u677e\u5f1b\u65f6\u95f4\u7b49\u4ef7\uff0c\u5b83\u5176\u5b9e\u5c31\u662f\u5e7f\u4e49\u5bbe\u6c49\u6d41\u4f53\u7684\u65b9\u7a0b\u3002\u800cSRFS\u7684\u6570\u5b66\u5173\u7cfb\uff0c\u662f\u8981\u628a\u5de6\u56fe\u7684\u7a33\u6001\u526a\u5207\u901f\u7387gamma-dot\u6362\u6210\u632f\u8361\u526a\u5207\u901f\u7387\u5e45\u5ea6gamma-dot-zero\u3002\u8fd9\u53c8\u662f\u4ec0\u4e48\u9053\u7406\uff1fdynamic strain sweep\u4e0b\u5927\u5e94\u53d8\u533a\u7684G''\u659c\u7387\u7edd\u5bf9\u503c\u5176\u5b9e\u662f\u7b49\u4e8e\u5e7f\u4e49\u5bbe\u6c49\u6d41\u4f53\u91cc\u9762\u90a3\u4e2a\u5e42\u03bd\u7684\uff0c\u8fd9\u4e2a\u5df2\u7ecf\u4ece\u6570\u5b66\u4e0a\u8bc1\u660e\u4e86\u3002MCT\u548cSGR\u7406\u8bba\u4e5f\u90fd\u5404\u81ea\u5bfc\u51fa\u4e86\u8fd9\u4e00\u5173\u7cfb\u3002\u5982\u679c\u4e0a\u8ff0SRFS\u7684\u5404\u65b9\u9762\u90fd\u6210\u7acb\uff0c\u90a3\u4e48SRFS\u4e0bG''\u5728\u4f4e\u9891\u533a\u7684\u659c\u7387\uff0c\u4e5f\u8981\u7b49\u4e8e\u03bd\uff0c\u800c\u4e14\u6c34\u5e73\u5e73\u79fb\u56e0\u5b50a\u540c\u5e94\u53d8\u901f\u7387\u5e45\u5ea6gamma-dot-zero\u4e4b\u95f4\u7684\u5e42\u7387\u5173\u7cfb\uff0c\u6307\u6570\u4e5f\u8981\u7b49\u4e8e\u03bd\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u8fd9\u4e2a\u03bd\u51a5\u51a5\u4e2d\u7edf\u6cbb\u4e86\u8f6f\u7269\u8d28\u4e16\u754c\uff01\u5982\u679c\u4f60\u4e0d\u7ed9\u51fa\u4e00\u4e2a\u7edf\u6cbb\u8f6f\u7269\u8d28\u4e16\u754c\u7684\u6a21\u578b\u6765\u89e3\u91ca\u8fd9\u4e2a\u03bd\uff0c\u6211\u60c5\u613f\u76f8\u4fe1\u8fd9\u662f\u5de7\u5408\u3002PRL\u8fd9\u7bc7\u6587\u7ae0\u51fa\u6765\u4e4b\u540e\uff0c\u611f\u5174\u8da3\u7684\u4eba\u5f88\u591a\u3002\u6211\u597d\u50cf\u8bb0\u5f97Nature\u7684Journal Club\u90fd\u8d5e\u626c\u8fc7\uff0c\u53ea\u662f\u6211\u4e00\u65f6\u627e\u4e0d\u56de\u539f\u6587\u4e86\u3002\u540e\u7eed\u8ddf\u8e2a\u7684\u6587\u7ae0\u53d1\u8868\u5728Soft Matter\u3001Phys. Rev. E\u3001J. Phys.\u2026","rel":"","context":"In "\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0"","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"Yielding","src":"https:\/\/i0.wp.com\/www.seas.harvard.edu\/projects\/weitzlab\/srfs\/images\/typ_nonlin_rheo.png?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":4479,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/4479","url_meta":{"origin":5675,"position":3},"title":"IWEAYR-7\u603b\u7ed3(1)","author":"Andrew","date":"2012\u5e742\u670813\u65e5","format":false,"excerpt":"\u6211\u5728\u7b2c7\u5c4a\u9752\u5e74\u6d41\u53d8\u5b66\u5bb6\u7814\u8ba8\u4f1a\u505a\u7684\u4e00\u4e9b\u8bb0\u5f55\uff0c\u9646\u7eed\u505a\u4e00\u4e9b\u603b\u7ed3\u3002\u7531\u4e8e\u65f6\u95f4\u6709\u9650\u6211\u5199\u6211\u81ea\u5df1\u624d\u770b\u5f97\u61c2\u7684\u4e1c\u897f\uff0c\u4e0d\u591a\u505a\u89e3\u91ca\u3002\u4f1a\u8bae\u7684\u62a5\u544a\u8868\u73b0\u51fa\u51e0\u4e2a\u6bd4\u8f83\u96c6\u4e2d\u7684\u8bdd\u9898\u3002\u6709\u4e9b\u8bdd\u9898\u6211\u4e0d\u592a\u719f\u6089\uff0c\u5e78\u4e8f\u5bfc\u5e08\u4e00\u76f4\u5750\u6211\u65c1\u8fb9\u3002\u4efb\u4f55\u4e0d\u61c2\u7684\u4e1c\u897f\u90fd\u53ef\u4ee5\u9a6c\u4e0a\u95ee\u4ed6\u3002\u6709\u65f6\u5bfc\u5e08\u4f1a\u53eb\u6211\u76f4\u63a5\u5411\u6f14\u8bb2\u4eba\u63d0\u95ee\u3002 \u677e\u5f1b\u65f6\u95f4\u8c31\u7684\u83b7\u53d6 \u4e3b\u8981\u662fK. 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M\u00f8ller, P., Fall, A., & Bonn, D. (2009). Origin of apparent viscosity in yield stress fluids below yielding EPL (Europhysics Letters), 87 (3) DOI: 10.1209\/0295-5075\/87\/38004[2] Barnes, H., & Walters, K. (1985). The yield stress myth? Rheologica Acta, 24 (4), 323-326 DOI: 10.1007\/BF01333960[3] Barnes, H. (1999). 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