{"id":4138,"date":"2011-10-03T02:34:12","date_gmt":"2011-10-02T18:34:12","guid":{"rendered":"http:\/\/www.andrewsun.net\/panta_rhei\/?p=4138"},"modified":"2011-10-03T02:52:21","modified_gmt":"2011-10-02T18:52:21","slug":"%e5%85%b3%e4%ba%8e%e7%ba%bf%e6%80%a7%e7%b2%98%e5%bc%b9%e6%80%a7%e7%9a%84%e5%ae%9a%e4%b9%89%e9%97%ae%e9%a2%98","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/4138","title":{"rendered":"\u5173\u4e8e\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u5b9a\u4e49\u95ee\u9898"},"content":{"rendered":"<div class=\"kcite-section\" 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decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Ctextit%7B%5Ctextbf%7Br%7D%7D%27%3D%5Ctextit%7B%5Ctextbf%7Br%7D%7D%27%5Cleft%28%5Ctextit%7B%5Ctextbf%7Br%7D%7D%2Ct%2Ct%27%5Cright%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;textit{&#92;textbf{r}}&#039;=&#92;textit{&#92;textbf{r}}&#039;&#92;left(&#92;textit{&#92;textbf{r}},t,t&#039;&#92;right)\" class=\"latex\" \/>\u548c<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Ctextit%7B%5Ctextbf%7Br%7D%7D%3D%5Ctextit%7B%5Ctextbf%7Br%7D%7D%5Cleft%28%5Ctextit%7B%5Ctextbf%7Br%7D%7D%27%2Ct%27%2Ct%5Cright%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;textit{&#92;textbf{r}}=&#92;textit{&#92;textbf{r}}&#92;left(&#92;textit{&#92;textbf{r}}&#039;,t&#039;,t&#92;right)\" class=\"latex\" \/>\u3002\u5982\u679c\u5404\u70b9\u4e4b\u95f4\u7684\u76f8\u5bf9\u5750\u6807\u4e5f\u6709\u53d8\u5316\uff0c\u5c31\u662f\u53d1\u751f\u4e86\u65cb\u8f6c\u6216\u5f62\u53d8\uff0c\u53ef\u4ee5\u901a\u8fc7\u4f4d\u79fb\u68af\u5ea6\u5f20\u91cf\u6765\u63cf\u8ff0\u3002\u4e24\u79cd\u53c2\u7167\u7cfb\u9009\u6cd5\u5bf9\u5e94\u4e24\u79cd\u4f4d\u79fb\u68af\u5ea6\u5f20\u91cf\uff1a\u4ee5<i>t&#8217;<\/i>\u65f6\u523b\u7684\u5750\u6807\u4e3a\u53c2\u8003\u7cfb\u63cf\u8ff0<i>t<\/i>\u65f6\u523b\u5750\u6807\u7684\u5f62\u53d8\u5f20\u91cf<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cboldsymbol%7B%5CDelta%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;boldsymbol{&#92;Delta}\" class=\"latex\" \/>\u548c\u4ee5<i>t<\/i>\u65f6\u523b\u7684\u5750\u6807\u4e3a\u53c2\u8003\u7cfb\u63cf\u8ff0<i>t&#8217;<\/i>\u65f6\u523b\u5750\u6807\u7684\u5f62\u53d8\u5f20\u91cf<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Ctextbf%7BE%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;textbf{E}\" class=\"latex\" \/>\uff0c\u5b83\u4eec\u4e92\u9006\u3002\u4f46\u662f\u8ba8\u8bba\u529b\u5b66\u65f6\u5e38\u5047\u8bbe\u65cb\u8f6c\u4e0d\u4ea7\u751f\u5e94\u529b\uff0c\u4e3a\u4e86\u63cf\u8ff0\u4e0d\u4f9d\u8d56\u65cb\u8f6c\u7684\u5f62\u53d8\uff0c\u5e38\u5e38\u62ff\u4f4d\u79fb\u68af\u5ea6\u5f20\u91cf\u4e0e\u5176\u8f6c\u7f6e\u76f8\u4e58\u6765\u62b5\u6d88\u6389\u65cb\u8f6c\u7684\u4f5c\u7528\u800c\u5f97\u5230\u7684\u5bf9\u79f0\u5f20\u91cf\u6765\u63cf\u8ff0\u5f62\u53d8\u3002\u7531\u4e8e\u4f4d\u79fb\u68af\u5ea6\u672c\u8eab\u4e0d\u662f\u5bf9\u79f0\u5f20\u91cf\uff0c\u6240\u4ee5\u5176\u81ea\u4e58\u4e0d\u7b26\u5408\u4ea4\u6362\u7387\uff0c\u52a0\u4e0a\u4e24\u79cd\u53c2\u7167\u7cfb\u9009\u6cd5\uff0c\u6392\u5217\u7ec4\u5408\u51fa\u6765\u5c31\u67094\u79cd\u4e0d\u4f9d\u8d56\u65cb\u8f6c\u7684\u5e94\u53d8\u5f20\u91cf\uff0c\u4ed6\u4eec\u7684\u5404\u6709\u4eba\u540d\u79f0\u8c13\uff0c\u4ec0\u4e48\u67ef\u897f\u554a\u683c\u6797\u554aFinger\u554a\u201c\u5de6\u201d\u554a\u201c\u53f3\u201d\u554a\u7684\uff0c\u5728\u4e0d\u540c\u7684\u529b\u5b66\u5206\u652f\u9886\u57df\u547d\u540d\u8fd8\u4e0d\u7edf\u4e00\uff0c\u5f88\u90c1\u95f7\u3002\u5728\u6d41\u53d8\u5b66\u4e0a\u4e0b\u6587\u4e2d\uff0cFinger\u5e94\u53d8\u5f20\u91cf\u662f<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Ctextbf%7BB%7D%3D%5Ctextbf%7BE%7D%5Ccdot%5Ctextbf%7BE%7D%5E%7B%5Cdagger%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;textbf{B}=&#92;textbf{E}&#92;cdot&#92;textbf{E}^{&#92;dagger}\" class=\"latex\" \/>\uff0c\u67ef\u897f\u5e94\u53d8\u5f20\u91cf\u662f<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Ctextbf%7BB%7D%5E%7B-1%7D%3D%5Cboldsymbol%7B%5CDelta%7D%5E%7B%5Cdagger%7D%5Ccdot%5Cboldsymbol%7B%5CDelta%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;textbf{B}^{-1}=&#92;boldsymbol{&#92;Delta}^{&#92;dagger}&#92;cdot&#92;boldsymbol{&#92;Delta}\" class=\"latex\" \/>\u3002\u5b83\u4eec\u4e92\u9006\uff0c\u90fd\u662f\u5bf9\u79f0\u5f20\u91cf\uff0c\u53ea\u8868\u5f81\u5f62\u53d8\u3002\u53e6\u5916\u4e00\u5bf9\u5219\u662f\u67ef\u897f-\u683c\u6797\u5f20\u91cf<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Ctextbf%7BC%7D%5E%7B-1%7D%3D%5Cboldsymbol%7B%5CDelta%7D%5Ccdot%5Cboldsymbol%7B%5CDelta%7D%5E%7B%5Cdagger%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;textbf{C}^{-1}=&#92;boldsymbol{&#92;Delta}&#92;cdot&#92;boldsymbol{&#92;Delta}^{&#92;dagger}\" class=\"latex\" \/>\u548c\u53f3\u67ef\u897f-\u683c\u6797\u5f20\u91cf<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Ctextbf%7BC%7D%3D%5Ctextbf%7BE%7D%5E%7B%5Cdagger%7D%5Ccdot%5Ctextbf%7BE%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;textbf{C}=&#92;textbf{E}^{&#92;dagger}&#92;cdot&#92;textbf{E}\" class=\"latex\" \/>\u3002\u5047\u5982\u6837\u54c1\u53ea\u53d1\u751f\u4f4d\u79fb\u548c\u65cb\u8f6c\uff08\u65e0\u5f62\u53d8\uff09\uff0c\u5b83\u4eec\u90fd\u7b49\u4e8e\u5355\u4f4d\u5f20\u91cf<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cboldsymbol%7B%5Cdelta%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;boldsymbol{&#92;delta}\" class=\"latex\" \/>\u3002\u4e3a\u4e86\u8ba9\u8868\u5f81\u5f62\u53d8\u7684\u5f20\u91cf\u5728\u65e0\u5f62\u53d8\u7684\u65f6\u5019\u4e0d\u8981\u7b49\u4e8e\u4e00\u800c\u662f\u7b49\u4e8e\u96f6\uff0c\u5c31\u91c7\u7528\u4ee5\u4e0a\u5f20\u91cf\u4e0e\u5355\u4f4d\u5f20\u91cf\u76f8\u51cf\u5f97\u5230\u76f8\u5e94\u7684\u76f8\u5bf9\u5f20\u91cf\u3002\u4f8b\u5982\u76f8\u5bf9Finger\u5f20\u91cf\u662f<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cboldsymbol%7B%5Cgamma%7D_%7B%5Cleft+%5B0%5Cright+%5D%7D%3D%5Cboldsymbol%7B%5Cdelta%7D-%5Ctextbf%7BB%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;boldsymbol{&#92;gamma}_{&#92;left [0&#92;right ]}=&#92;boldsymbol{&#92;delta}-&#92;textbf{B}\" class=\"latex\" \/>\uff0c\u76f8\u5bf9\u67ef\u897f\u5f20\u91cf\u662f<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cboldsymbol%7B%5Cgamma%7D%5E%7B%5Cleft+%5B0%5Cright+%5D%7D%3D%5Ctextbf%7BB%7D%5E%7B-1%7D-%5Cboldsymbol%7B%5Cdelta%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;boldsymbol{&#92;gamma}^{&#92;left [0&#92;right ]}=&#92;textbf{B}^{-1}-&#92;boldsymbol{&#92;delta}\" class=\"latex\" \/>\u3002\u4ee5\u4e0a\u5185\u5bb9\u6284\u88ad\u81eaBird\u7684\u5723\u4e66<i>Dynamics of Polymeric Liquids<\/i>\u3002<\/p>\n<p>\u4ee5\u4e0a\u7684\u76f8\u5bf9\u5e94\u53d8\u5f20\u91cf\u90fd\u4e0d\u662f\u7ebf\u6027\u7684\u3002\u4ee5\u76f8\u5bf9\u67ef\u897f\u5f20\u91cf\u4e3a\u4f8b\uff0c<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cgamma_%7Bij%7D%5E%7B%5Cleft+%5B0%5Cright+%5D%7D%3D%5Csum_m%5Cfrac%7B%5Cpartial+x%27_m%7D%7B%5Cpartial+x_i%7D%5Cfrac%7B%5Cpartial+x%27_m%7D%7B%5Cpartial+x_j%7D-%5Cdelta_%7Bij%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;gamma_{ij}^{&#92;left [0&#92;right ]}=&#92;sum_m&#92;frac{&#92;partial x&#039;_m}{&#92;partial x_i}&#92;frac{&#92;partial x&#039;_m}{&#92;partial x_j}-&#92;delta_{ij}\" class=\"latex\" \/>\uff0c\u5373<i>i<\/i>=<i>j<\/i>\u9879\u662f\u4e8c\u6b21\u51fd\u6570\u3002\u5bf9\u4e8e\u526a\u5207\u5f62\u53d8\uff0c<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=B_%7B22%7D%5E%7B-1%7D%3D%5Cgamma_%7B22%7D%5E%7B%5Cleft+%5B0%5Cright+%5D%7D%2B1%3D%5Cgamma_%7Byx%7D%5E2%2B1&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"B_{22}^{-1}=&#92;gamma_{22}^{&#92;left [0&#92;right ]}+1=&#92;gamma_{yx}^2+1\" class=\"latex\" \/>\u3002\u5f53\u5f62\u53d8\u65e0\u9650\u5c0f\u7684\u65f6\u5019\uff0c\u5ffd\u7565\u4e8c\u6b21\u9879\uff0c\u5219\u4e24\u4e2a\u76f8\u5bf9\u5e94\u53d8\u5f20\u91cf\u90fd\u7ea6\u7b49\u4e8e\u4e00\u4e2a\u7ebf\u6027\u7684\u8fd1\u4f3c\u5f20\u91cf\u2014\u2014\u65e0\u9650\u5c0f\u5e94\u53d8\u5f20\u91cf\uff08infinitesimal strain tensor\uff09<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cboldsymbol%7B%5Cgamma%7D%3D%5Ctextbf%7BE%7D%2B%5Ctextbf%7BE%7D%5E%7B%5Cdagger%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;boldsymbol{&#92;gamma}=&#92;textbf{E}+&#92;textbf{E}^{&#92;dagger}\" class=\"latex\" \/>\u3002<\/p>\n<p>\u56de\u5230\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u8ba8\u8bba\u3002\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u672c\u6784\u65b9\u7a0b\u662f<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cboldsymbol%7B%5Csigma%7D%3D%5Cint_%7B-%5Cinfty%7D%5E%7Bt%7DM%5Cleft%28t-t%27%5Cright%29%5Cboldsymbol%7B%5Cgamma%7D%5Cleft%28t%2Ct%27%5Cright%29dt%27&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;boldsymbol{&#92;sigma}=&#92;int_{-&#92;infty}^{t}M&#92;left(t-t&#039;&#92;right)&#92;boldsymbol{&#92;gamma}&#92;left(t,t&#039;&#92;right)dt&#039;\" class=\"latex\" \/>\u3002\u5176\u4e2d<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cboldsymbol%7B%5Cgamma%7D%5Cleft%28t%2Ct%27%5Cright%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;boldsymbol{&#92;gamma}&#92;left(t,t&#039;&#92;right)\" class=\"latex\" \/>\u5c31\u662f\u65e0\u9650\u5c0f\u5e94\u53d8\u5f20\u91cf\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec\u5e38\u542c\u8bf4\u201c\u6750\u6599\u5728\u5e94\u53d8<em>\u8f83\u5c0f<\/em>\u65f6\u6ee1\u8db3\u7ebf\u6027\u7c98\u5f39\u6027\u201d\uff0c\u6240\u8c13\u201c\u8f83\u5c0f\u201d\u5177\u4f53\u5c31\u5982\u4e0a\u8ff0\u3002<\/p>\n<p>\u73b0\u5728\u8003\u8651SAOS\u7684\u60c5\u51b5\uff0c\u5373\u5f62\u53d8\u5f20\u91cf\u9664\u526a\u5207\u5206\u91cf<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cgamma_%7Byx%7D%3D%5Cgamma_0+%5Csin%5Comega+t&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;gamma_{yx}=&#92;gamma_0 &#92;sin&#92;omega t\" class=\"latex\" \/>\u5916\uff0c\u5176\u4ed6\u5206\u91cf\u5747\u4e3a\u96f6\u3002\u4ee3\u5165\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u57fa\u672c\u65b9\u7a0b\u4e2d\u7684\u65e0\u9650\u5c0f\u5e94\u53d8\u5f20\u91cf\uff0c\u7b97\u51fa\u6765\u7684\u5e94\u529b\u5f20\u91cf\u53ea\u6709\u526a\u5207\u5206\u91cf<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Csigma%3D%5Ctau_%7Byx%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;sigma=&#92;tau_{yx}\" class=\"latex\" \/>\u4e0d\u4e3a\u96f6\uff0c\u4e14<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Csigma%3DG%27%5Cleft%28%5Comega%5Cright%29%5Cgamma_0%5Csin%5Comega+t%2BG%27%27%5Cleft%28%5Comega%5Cright%29%5Ccos%5Comega+t%3D%5Cleft%7CG%5E%2A%5Cright%7C%5Cgamma_0%5Csin%5Cleft%28%5Comega+t%2B%5Cdelta%5Cright%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;sigma=G&#039;&#92;left(&#92;omega&#92;right)&#92;gamma_0&#92;sin&#92;omega t+G&#039;&#039;&#92;left(&#92;omega&#92;right)&#92;cos&#92;omega 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kcite active, but no citations found -->\n<\/div> <!-- kcite-section 4138 -->","protected":false},"excerpt":{"rendered":"<p>\u7ebf\u6027\u7c98\u5f39\u6027\u4e0e\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u662f\u4e00\u5bf9\u6982\u5ff5\uff0cSAOS\u548cLAOS\u5219\u662f\u53e6\u4e00\u5bf9\u6982\u5ff5\u3002\u6211\u76ee\u524d\u6240\u4e86\u89e3\u7684\u60c5\u51b5\u4f3c\u4e4e\u8868\u660e\u8fd9\u4e24\u5bf9\u6982\u5ff5\u4e0d\u662f\u4e24\u4e24\u5bf9\u4e0a\u53f7\u7684\u3002 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&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":2303,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/2303","url_meta":{"origin":4138,"position":1},"title":"Regretfully&#8230;","author":"Andrew","date":"2011\u5e742\u67082\u65e5","format":false,"excerpt":"\u5927\u5e74\u4e09\u5341\uff0c\u63a5\u53d7\u4e86\u7684paper\u4e0a\u7ebf\u4e86\u3002\u603b\u7ed3\u4e00\u4e0b\u7ecf\u9a8c\u6559\u8bad\u3002LAOS\u7684\u95ee\u9898\u6587\u7ae0\u7684\u5356\u70b9\u662fLAOS\uff0c\u4f46LAOS\u672c\u8eab\u4f5c\u4e3a\u4e00\u79cd\u65b9\u6cd5\u5df2\u7ecf\u4e0d\u65b0\u4e86\u3002\u7b2c\u4e00\uff1a\u5927\u5bb6\u90fd\u542c\u8bf4\u8fc7LAOS\u4e86\u3002\u5982\u679c\u662f\u6d41\u53d8\u5b66\u9886\u57df\u7684\u4eba\uff0c\u751a\u81f3\u8c08\u4e0d\u4e0a\u201c\u542c\u8bf4\u201d\uff0c\u56e0\u4e3a\u662fWeissenberg\u6700\u65e9\u505aLAOS\u548c\u63d0\u51faFourier\u5c55\u5f00\u7684\u3002\u4e0a\u4e16\u7eaa80\u5e74\u4ee3\u7f20\u7ed3\u805a\u5408\u7269\u672c\u6784\u65b9\u7a0b\u5f88\u70ed\u95e8\u7684\u65f6\u5019LAOS\u4e5f\u88ab\u5229\u7528\u8fc7\u4e00\u9635\u5b50\uff0c\u77e5\u9053\u7684\u4eba\u66f4\u591a\u3002\u7b2c\u4e8c\uff1aLAOS\u7684\u65b9\u6cd5\u672c\u8eab\u5e76\u4e0d\u590d\u6742\uff0c\u5927\u5bb6\u4e5f\u90fd\u77e5\u9053\u5b83\u7684\u5f0a\u7aef\u3002\u5149LAOS\u6765LAOS\u53bb\uff0c\u89e3\u51b3\u4e0d\u4e86\u95ee\u9898\u3002\u5176\u5b9e\u8981\u628a\u5e94\u53d8\u5e45\u5ea6\u5f04\u5927\uff0c\u5e76\u975e\u4e00\u5b9a\u8981\u4ee5\u632f\u8361\u7684\u65b9\u5f0f\u3002\u5230\u73b0\u5728\u4e3a\u6b62\u6ca1\u770b\u5230\u54ea\u7bc7paper\u663e\u793a\u5f97\u4ee5\u632f\u8361\u7684\u65b9\u5f0f\u5bf9\u89e3\u51b3\u54ea\u4e2a\u95ee\u9898\u662f\u7279\u522b\u5fc5\u987b\u7684\u3002\u89e3\u51b3\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u95ee\u9898\uff08\u5176\u5b9e\u5c31\u662f\u5728\u5f62\u53d8\u5c3a\u5ea6\u4e0a\u5931\u53bb\u5e73\u79fb\u4e0d\u53d8\u6027\uff09\u8ddf\u975e\u5e73\u8861\u8fc7\u7a0b\u95ee\u9898\uff08\u5176\u5b9e\u5c31\u662f\u5728\u65f6\u95f4\u5c3a\u5ea6\u4e0a\u5931\u53bb\u5e73\u79fb\u4e0d\u53d8\u6027\uff09\u4e00\u6837\u90fd\u8981\u8bc9\u8bf8\u7406\u8bba\u6a21\u578b\u3002\u6210\u529f\u7684\u7406\u8bba\u6709\u4e86\uff0c\u672c\u6784\u65b9\u7a0b\u89e3\u4e00\u4e0b\u4ec0\u4e48\u6d41\u52a8\u90fd\u80fd\u9884\u6d4b\u3002\u5173\u4e8eLAOS\u5b9e\u9a8c\u7ed3\u679c\u7684\u63cf\u8ff0\u95ee\u9898\uff0c\u4e00\u76f4\u6709\u4e24\u79cd\u65b9\u5411\u3002\u4e00\u79cd\u662f\u5e0c\u671b\u80fd\u591f\u5ef6\u7528\u7ebf\u6027\u7c98\u5f39\u6027\u7684G'\u3001G''\u6982\u5ff5\uff1b\u53e6\u4e00\u79cd\u662f\u6839\u636e\u5177\u4f53\u6837\u54c1\u7684\u5b9e\u9a8c\u7ed3\u679c\uff0c\u8bbe\u8ba1\u7279\u6b8a\u7684\u3001\u6700\u80fd\u4f53\u73b0\u6837\u54c1\u533a\u522b\u7684\u53c2\u6570\u3002\u524d\u8005\u662f\u5e0c\u671b\u4e00\u5957\u53c2\u6570\u80fd\u591f\u63cf\u8ff0\u5404\u79cd\u6837\u54c1\uff0c\u540e\u8005\u5219\u5e72\u8106\u5177\u4f53\u95ee\u9898\u5177\u4f53\u5206\u6790\u3002\u5176\u5b9e\u201c\u5177\u4f53\u95ee\u9898\u5177\u4f53\u5206\u6790\u201d\u662f\u4e00\u79cd\u61d2\u7684\u505a\u6cd5\u3002\u867d\u7136\u4ece\u7406\u8bba\u6a21\u578b\u4e0a\u6765\u8bf4\u53ef\u80fd\u662f\u8fd9\u6837\u7684\uff08\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u539f\u56e0\u4e94\u82b1\u516b\u95e8\u2014\u2014\u8bf1\u5bfc\u6709\u5e8f\u3001\u7f20\u7ed3\u3001\u7269\u7406\u4ea4\u8054\u3001\u5c48\u670d\u2026\u2026\uff09\uff0c\u4f46\u6d41\u53d8\u5b66\u7814\u7a76\u7684\u662f\u5f88\u5b8f\u89c2\u7684\u6027\u8d28\uff0c\u5f80\u5f80\u7ed3\u6784\u4e94\u82b1\u516b\u95e8\u7684\u6837\u54c1\u5728\u6d41\u53d8\u5b66\u4e0a\u6709universal\u73b0\u8c61\u3002\u6bd5\u7adfuniversality\u662f\u79d1\u5b66\u6574\u4f53\u52aa\u529b\u65b9\u5411\uff0c\u5f53\u7136\u60c5\u613f\u5e0c\u671b\u4e8b\u60c5\u662funiversal\u7684\u597d\u4e86\u3002\u6240\u4ee5\u7528\u524d\u8005\u2014\u2014\u5ef6\u7528G'\u548cG''\u7684notion\u2014\u2014\u8fd8\u662f\u6709\u4e8b\u53ef\u505a\u3002Fourier\u5c55\u5f00\u65b9\u6cd5\uff0c\u5f04\u51fa\u4e86\u65e0\u9650\u7684G'n\u548cG''n\u3002\u6240\u4ee5\u5b9e\u9a8c\u4e0a\u53c8\u5f3a\u8c03\u6240\u8c13\u201c\u4e2d\u5e45\u5e94\u53d8\u201d\uff08MAOS\uff09\uff0c\u5c3d\u91cf\u4e0d\u628an>3\u7684\u8c10\u6ce2\u505a\u51fa\u6765\u3002\u4f5c\u4e3a\u5b9e\u9a8c\u65b9\u6cd5\u4e0d\u4ec5\u81ea\u627e\u82e6\u5403\uff0c\u8fd8\u81ea\u76f8\u77db\u76fe\u3002\u4eba\u5bb6\u5c31\u662f\u60f3\u5f80\u5927\u5e45\u505a\u624d\u505aLAOS\u7684\uff0c\u4f60\u5f04\u534a\u5929\u53c8\u4e0d\u8ba9\u505a\u592a\u5927\u5e45\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u8fd9\u4e9bG'n\u548cG''n\u4e4b\u95f4\u662f\u5426\u90fd\u7b26\u5408Kramers\u2013Kronig\u5173\u7cfb\u6211\u8fd8\u6ca1\u9a8c\u8bc1\u8fc7\uff0c\u5047\u5982\u4e0d\u7b26\u5408\uff0c\u4e25\u683c\u6765\u8bf4\u662f\u4e0d\u80fd\u7b97\u4f5cG'\u548cG''\u7684\u6269\u5c55\u7684\u3002\u5b9e\u9645\u4e0a\uff0c\u7ebf\u6027\u7c98\u5f39\u6027\u6761\u4ef6\u4e0b\u7684G(t)\u4e5f\u597d\uff0cG*(\u03c9)\u4e5f\u597d\uff0c\u90fd\u5c5e\u4e8e\u7ebf\u6027\u54cd\u5e94\u51fd\u6570\uff08linear response function\uff09\uff0c\u6216\u79f0susceptibility\uff08\u03a7(t)\uff09\uff0c\u662f\u6307\u6750\u6599\u5728\u5f31\u5916\u573a\u4f5c\u7528\u4e0b\u6027\u8d28\u53d8\u5316\u3002\u5916\u573a\u5f3a\u5ea6\u5f88\u5927\u7684\u65f6\u5019\u54cd\u5e94\u51fd\u6570\u5c31\u4f1a\u663e\u793a\u51fa\u573a\u5f3a\u4f9d\u8d56\u6027\u3002\u5728\u6d41\u53d8\u5b66\u4e2d\u5916\u573a\u5c31\u662f\u526a\u5207\u5f62\u53d8\uff0c\u6240\u4ee5\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u5e76\u975e\u4ec0\u4e48\u5f88\u7279\u6b8a\u7684\u4e1c\u897f\uff0c\u65e0\u5916\u662f\u6750\u6599\u7684\u54cd\u5e94\u51fd\u6570\u663e\u793a\u5f62\u53d8\u4f9d\u8d56\u800c\u5df2\u3002\u4f8b\u5982\u201cnonlinear susceptibility\u201d\u5728\u975e\u7ebf\u6027\u5149\u5b66\u91cc\u5c31\u662f\u6307\u6781\u5316\u7387\u4e0e\u5149\u5f3a\u4e0d\u518d\u9075\u4ece\u7ebf\u6027\u89c4\u5f8b\u4e86\u800c\u5df2\uff08cf. \u975e\u7ebf\u6027\u7c98\u5f39\u6027\u5e94\u529b\u4e0e\u5e94\u53d8\u4e0d\u9075\u4ece\u7ebf\u6027\u89c4\u5f8b\uff09\u3002\u6309\u7167\u5e73\u8861\u6001\u7edf\u8ba1\u7269\u7406\u7684\u89c2\u70b9\uff0c\u7ebf\u6027\u7684susceptibility\u662f\u8ddf\u76f8\u5173\u51fd\u6570\u7d27\u5bc6\u8054\u7cfb\u7684\uff08\u662f\u524d\u540e\u662f\u540e\u8005\u7684\u79ef\u5206\uff09\uff0c\u8ddf\u7ed3\u6784\u56e0\u5b50\u6210\u6b63\u6bd4\u3002\u56e0\u6b64\uff0c\u5982\u679cnonlinear susceptibility\u4e5f\u80fd\u8ddf\u76f8\u5173\u51fd\u6570\u548c\u7ed3\u6784\u56e0\u5b50\u6709\u7c7b\u4f3c\u7684\u8054\u7cfb\uff0c\u90a3\u4e48\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u91cc\u7684\u5e94\u529b\u677e\u5f1b\u51fd\u6570G(t, \u03b3)\u5c31\u80fd\u8ddf\u7ed3\u6784\u4fe1\u606f\u76f4\u63a5\u5173\u8054\u4e86\u3002\u6700\u8fd1\u6211\u5c31\u5728\u8003\u8651\u8fd9\u4e2a\u95ee\u9898\uff0c\u4e0d\u8fc7\u6211\u7269\u7406\u57fa\u7840\u592a\u5dee\uff0c\u56e0\u6b64\u8fd9\u4e2a\u95ee\u9898\u53ea\u80fd\u8fb9\u8865\u4e60\u8fb9\u60f3\u3002\u6211\u8fde\u725b\u987f\u529b\u5b66\u5b9a\u5f8b\u7684Hamitonian\u8868\u8ff0\u90fd\u770b\u4e0d\u61c2\u554a\u770b\u4e0d\u61c2\u2026\u2026\u5ba1\u7a3f\u610f\u89c1\u8fd9\u7bc7\u6587\u7ae0\u521d\u6295\u540e\u88ab\u62d2\uff0c\u5ba1\u7a3f\u4eba\u8bf4\u8be5manuscript\u5185\u5bb9\u4e2d\u6ca1\u4ec0\u4e48\u5173\u4e8epolymer\u7684\u5185\u5bb9\uff0c\u5efa\u8bae\u6539\u6295\u6d41\u53d8\u5b66\u6216\u8005\u80f6\u4f53\u7684\u671f\u520a\u3002\u7ecf\u4fee\u6539\u540e\u91cd\u6295Polymer\uff0c\u8fd9\u56de\u8fd8\u662f\u6709\u4e2a\u5ba1\u7a3f\u4eba\u8bf4\u4e0d\u8be5\u6295\u8fd9\u513f\u5efa\u8bae\u62d2\u7a3f\uff0c\u5e78\u597d\u8fd9\u56de\u53e6\u5916\u6709\u4e24\u4e2a\u5ba1\u7a3f\u4eba\u610f\u89c1\u662f\u5c0f\u4fee\uff0c\u7f16\u8f91\u610f\u89c1\u662f\u4fee\u6539\u3002\u6700\u540e\u901a\u77e5\u6587\u7ae0\u63a5\u6536\uff0c\u9644\u4e0a\u4fee\u6539\u7a3f\u7684\u5ba1\u7a3f\u610f\u89c1\uff0c\u8fd8\u662f\u90a3\u4e2a\u5ba1\u7a3f\u4eba\uff0c\u4ed6\u7684\u610f\u89c1\u8fd8\u662f\u62d2\u7a3f\u3002\u4ed6\u6700\u540e\u4e00\u6b21\u7684\u610f\u89c1\u7528\u4e86\u4e24\u4e2aregretfully...still...\u7684\u53e5\u5b50\u3002This reviewer would like to sincerely thank the authors for their time taken to modify the manuscript and for their kindly presented further explanations. Regretfully, this reviewer still thinks that the manuscript would be better received if published in a rheology oriented journal.The authors\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":8206,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/8206","url_meta":{"origin":4138,"position":2},"title":"\u7c98\u5f39\u6027\u7684\u8ba4\u8bc6\u5386\u53f2\uff08\u4e00\uff09","author":"Andrew","date":"2021\u5e748\u670816\u65e5","format":false,"excerpt":"\u524d\u6bb5\u65f6\u95f4\u505a\u8fc7\u4e00\u4e9b\u5173\u4e8e\u7c98\u5f39\u6027\uff08viscoelasticity\uff09\u7684\u7814\u7a76\u5386\u53f2\u7684\u8d44\u6599\u8c03\u67e5\uff0c\u5c31\u5728\u6b64\u4f5c\u4e00\u4e9b\u4e0d\u5b8c\u6574\u7684\u603b\u7ed3\u3002 \u5b9e\u9645\u4e0aMaria Grazia Ianniello\u4f5c\u4e86\u5f88\u597d\u7684\u603b\u7ed3\u5de5\u4f5c\u200b(Ianniello 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":1031,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/1031","url_meta":{"origin":4138,"position":3},"title":"\u4e3a\u4ec0\u4e48G&#039;&#039;\u662f\u8d1f\u503c\uff1f","author":"Andrew","date":"2010\u5e745\u670825\u65e5","format":false,"excerpt":"\u4e3b\u9898\u56de\u5f52\u5230\u6d41\u53d8\u5b66\u4e00\u4e0b\u3002\u4f17\u6240\u5468\u77e5\uff08\u7ebf\u6027\uff09\u7c98\u5f39\u6027\u662f\u5904\u4e8eHookian\u5f39\u6027\u548cNewtonian\u7c98\u6027\u8fd9\u4e24\u4e2a\u6781\u7aef\u4e4b\u95f4\u7684\u6027\u8d28\u3002\u5bf9Hookian\u5f39\u6027\u4f53\uff08Hookian\u5f39\u7c27\u6a21\u578b\uff09\u65bd\u52a0\u6b63\u5f26\u5f62\u53d8\uff0c\u6d4b\u5230\u7684\u662f\u540c\u76f8\u7684\u6b63\u5f26\u5e94\u529b\uff1b\u5411Newtonian\u7c98\u6d41\u4f53\uff08Newtonian\u7c98\u58f6\uff09\u65bd\u52a0\u6b63\u5f26\u5f62\u53d8\u901f\u7387\uff0c\u6d4b\u5230\u7684\u662f\u540c\u76f8\u7684\u6b63\u5f26\u5e94\u529b\u3002\u5411\u4e00\u4e2a\u7ebf\u6027\u7c98\u5f39\u6027\u6837\u54c1\u65bd\u52a0\u6b63\u5f26\u5f62\u53d8\uff0c\u6d4b\u5230\u7684\u662f\u76f8\u4f4d\u89d2\u4e3a[eq]\\delta[\/eq]\u7684\u6b63\u5f26\u5e94\u529b\uff1a[eq]\\gamma_0 \\sin \\left ( \\omega t+\\delta \\right )[\/eq]\u3002 \u6700\u4e3a\u4eba\u719f\u6089\u7684\u6d41\u53d8\u5b66\u6d4b\u8bd5\uff08\u4e5f\u662f\u6700\u591a\u4e0d\u61c2\u6d41\u53d8\u7684\u4eba\u77e5\u9053\u8981\u505a\u7684\u6d4b\u8bd5\uff09\u5c31\u662f[eq]G'[\/eq]\u3001[eq]G''[\/eq]~[eq]\\omega[\/eq]\u66f2\u7ebf\uff0c\u8fd9\u4e2a\u4e5f\u53eb\u505a\u201c\u7c98\u5f39\u8c31\u201d\u3002\u6211\u66fe\u7ecf\u8be6\u7ec6\u89e3\u91ca\u8fc7[eq]G'[\/eq]\u548c[eq]G''[\/eq]\u5230\u5e95\u662f\u600e\u4e48\u6765\u7684\u3002\u5178\u578b\u7ebf\u578b\u805a\u5408\u7269\u7c98\u5f39\u8c31\u5982\u4e0b\u56fe\uff1a \u4e0b\u56fe\u662f\u6211\u914d\u5236\u7684\u5408\u6210\u9502\u85fb\u571fLaponite\u51dd\u80f6\u7684\u7c98\u5f39\u8c31\uff0c\u53d1\u73b0[eq]G''[\/eq]\u5728\u9ad8\u9891\u5904\u51fa\u73b0\u8d1f\u503c\u3002\u4e0b\u9762\u662f\u5bf9\u8fd9\u4e2a\u4e0d\u6b63\u5e38\u73b0\u8c61\u7684\u89e3\u91ca\u3002 \u4e00\u53f0\u5e94\u53d8\u63a7\u5236\u578b\u6d41\u53d8\u4eea\u82e5\u8981\u7ed9\u51fa\u8fd9\u6837\u7684\u56fe\uff0c\u5c31\u8981\u7ed9\u6837\u54c1\u65bd\u52a0\u4e00\u5b9a\u9891\u7387[eq]\\omega[\/eq]\u548c\u5e45\u5ea6[eq]\\gamma[\/eq]\u7684\u6b63\u5f26\u5e94\u53d8[eq]\\gamma \\left ( t \\right ) = \\gamma_0 \\sin \\left ( \\omega t \\right)[\/eq]\uff0c\u7136\u540e\u5939\u5177\u6240\u8fde\u63a5\u7684\u529b\u5b66\u4f20\u611f\u5668\u8bb0\u5f55\u6837\u54c1\u5411\u5939\u5177\u65bd\u52a0\u7684\u8f6c\u77e9\uff0c\u5e76\u6839\u636e\u5939\u5177\u5f62\u72b6\u548cGap\u503c\u6362\u7b97\u6210\u5e94\u53d8[eq]\\sigma \\left ( t \\right )[\/eq]\uff0c\u5728\u7ebf\u6027\u7c98\u5f39\u6027\u6761\u4ef6\u4e0b[eq]\\sigma \\left ( t \\right )=\\sigma_0 \\sin \\left ( \\omega t + \\delta \\right )[\/eq]\u3002\u4eea\u54c1\u4ec5\u9700\u4e14\u5fc5\u987b\u51c6\u786e\u6d4b\u91cf\u51fa\u4e24\u4e2a\u503c\uff1a[eq]\\sigma_0[\/eq]\uff08\u4ece\u5728\u8f6c\u77e9\u6570\u636e\u4e2d\u627e\u5230\u7684\u6700\u503c\u6362\u7b97\uff09\u548c[eq]\\delta[\/eq]\uff08\u901a\u8fc7\u6bd4\u8f83\u8f6c\u77e9\u6570\u636e\u548c\u5e94\u53d8\u6570\u636e\u7684\u76f8\u4f4d\u5dee[eq]\\Delta t[\/eq]\u6362\u7b97\uff0c\u89c1\u7b2c1\u5e45\u56fe\uff09\u3002\u5176\u4e2d\uff0c[eq]\\Delta t=\\frac{\\delta}{\\omega}[\/eq]\u3002\u5176\u4ed6\u8bf8\u5982[eq]G'[\/eq]\u3001[eq]\\eta'[\/eq]\u4e4b\u7c7b\u7684\uff0c\u90fd\u662f\u4ece\u8fd9\u4e24\u4e2a\u6570\u636e\u7b97\u51fa\u6765\u7684\u3002\u4f8b\u5982[eq]G''=\\frac {\\sigma_0}{\\gamma_0} \\sin \\left( \\omega \\right\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":"\u5c0f\u5e45\u632f\u8361\u529b\u5b66\u54cd\u5e94","src":"https:\/\/i0.wp.com\/www.andrewsun.net\/xiangge\/wp-content\/uploads\/2010\/05\/11-300x188.png?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":6627,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/6627","url_meta":{"origin":4138,"position":4},"title":"\u6d41\u53d8\u5b66\u7814\u7a76\u4ec0\u4e48","author":"Andrew","date":"2015\u5e746\u670827\u65e5","format":"aside","excerpt":"\u4eca\u5929\u53bb\u9762\u7b7e\uff0c\u9762\u8bd5\u5b98\u95ee\u6211What is rheology\uff0c\u6211\u629b\u51fa\u5b98\u8bdd\uff1athe study of the deformation and flow of matter\u3002\u56de\u5355\u4f4d\uff0c\u6536\u5230\u4e00\u4e2a\u964c\u751f\u7814\u7a76\u751f\u7684\u90ae\u4ef6\uff0c\u6211\u5728\u56de\u590d\u4e2d\u53c8\u6d89\u53ca\u5230\u8fd9\u4e2a\u3002 \u63d2\u53e5\u8bdd\uff0c\u6211\u89c9\u5f97\u8fd9\u5e74\u5934\uff08\u7279\u522b\u662fGoogle Reader\u505c\u6b62\u670d\u52a1\u4e4b\u540e\uff09\uff0c\u770b\u535a\u5ba2\u7684\u4eba\u5e94\u8be5\u662f\u5f88\u5c11\u7684\uff0c\u901a\u8fc7RSS\u8ddf\u8e2a\u535a\u5ba2\u7684\u4eba\u5e94\u8be5\u5c31\u66f4\u5c11\u3002\u6211\u4ee5\u524d\u5728\u79d1\u5b66\u7f51\u5199\u535a\u5ba2\uff0c\u5f88\u591a\u4eba\u901a\u8fc7\u535a\u5ba2\u77e5\u9053\u6211\u3002\u4f46\u6211\u4e0d\u5728\u90a3\u91cc\u5199\u4e1c\u897f\u5f88\u591a\u5e74\u4e86\uff0c\u539f\u4ee5\u4e3a\u5728\u8fd9\u4e2a\u4e2a\u4eba\u57df\u540d\u4e0b\u5199\u5199\uff0c\u5e94\u8be5\u6ca1\u591a\u5c11\u4eba\u770b\uff0c\u66f4\u4e0d\u8981\u8bf4\u662f\u6d41\u53d8\u5b66\u540c\u884c\u3002\u53ef\u4ecd\u7136\u4e0d\u65f6\u6709\u4eba\u7ed9\u6211\u53d1\u90ae\u4ef6\uff0c\u8bf4\u662f\u4ece\u6211\u7684\u535a\u5ba2\u77e5\u9053\u6211\u7684\u3002\u535a\u5ba2\u6bd5\u7adf\u662f\u4e00\u4e2a\u7528\u6765\u778e\u626f\u7684\u5730\u65b9\uff0c\u4e5f\u8bb8\u6211\u6709\u65f6\u4f1a\u8ba4\u771f\u603b\u7ed3\u4e00\u4ef6\u4e8b\uff0c\u4f46\u5f80\u5f80\u5927\u591a\u6570\u662f\u778e\u626f\u3002 \u6d41\u53d8\u5b66\u7814\u7a76\u4ec0\u4e48\u95ee\u9898\u6709\u70b9\u5927\uff0c\u6211\u60f3\u8bf4\u7684\u5176\u5b9e\u662f\u7528\u65cb\u8f6c\u6d41\u53d8\u4eea\u7814\u7a76\u4ec0\u4e48\uff0c\u56e0\u4e3a\u6211\u4e5f\u53ea\u719f\u6089\u8fd9\u79cd\u6d41\u53d8\u4eea\u3002\u5927\u81f4\u4e0a\u6765\u8bf4\uff0c\u662f\u7814\u7a76\u4e24\u65b9\u9762\u6027\u8d28\uff1a\u4e00\u662f\u6d41\u52a8\u6027\uff0c\u4e8c\u662f\u677e\u5f1b\u8c31\u3002\u6d41\u52a8\u6027\u662f\u4f7f\u7528continuous 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&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":3688,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/3688","url_meta":{"origin":4138,"position":5},"title":"\u535a\u58eb\u5b66\u4f4d\u8bba\u6587\u7684\u8111\u529b\u52b3\u52a8\u90e8\u5206","author":"Andrew","date":"2011\u5e748\u670819\u65e5","format":false,"excerpt":"\u672c\u6765\u505a\u79d1\u7814\u90fd\u7b97\u8111\u529b\u52b3\u52a8\uff0c\u4f46\u662f\u4e25\u683c\u7ec6\u5206\u4e00\u4e0b\u53ef\u4ee5\u628a\u505a\u5b9e\u9a8c\u5f53\u6210\u4f53\u529b\u52b3\u52a8\uff0c\u5269\u4e0b\u7684\u7eaf\u8111\u529b\u52b3\u52a8\u90e8\u5206\u5c31\u662f\u5750\u5728\u4e66\u684c\u65c1\u5e72\u51fa\u6765\u7684\u3002\u6839\u636e\u6211\u76ee\u524d\u7684\u60f3\u6cd5\uff0c\u6211\u535a\u58eb\u8bba\u6587\u4e2d\u8fd9\u6837\u7684\u90e8\u5206\u8fd8\u4e0d\u5c11\uff0c\u8ba9\u6211\u5f88\u5934\u75db\u3002\u5b9e\u9a8c\u7684\u8bdd\u4f60\u6309\u65f6\u95f4\u8ba1\u5212\u90fd\u5b8c\u6210\u4e86\u5c31\u57fa\u672c\u641e\u5b9a\u4e86\u3002\u4f46\u8111\u529b\u52b3\u52a8\u90e8\u5206\u4f60\u662f\u9884\u8ba1\u4e0d\u4e86\u4f60\u4f1a\u60f3\u591a\u4e45\u624d\u60f3\u5f97\u51fa\u6765\u7684\uff0c\u6240\u4ee5\u5f88\u96be\u6390\u65f6\u95f4\u3002\u6240\u4ee5\u4e0d\u6392\u51fa\u5230\u6700\u540e\u6211\u62db\u67b6\u4e0d\u4f4f\uff0c\u6211\u7684\u535a\u58eb\u8bba\u6587\u5c31\u9000\u53d8\u6210\u4e00\u4e2a\u5b9e\u9a8c\u62a5\u544a\uff0c\u6ca1\u6709\u4efb\u4f55\u6df1\u5165\u7406\u89e3\u548c\u8ba8\u8bba\u3002\u7ea0\u7ed3\u7684\u9884\u526a\u5207\u6309\u7167\u89e6\u53d8\u6027\u51dd\u80f6\u7684\u5e38\u89c4\uff08\u6216\u79f0\u201c\u88ab\u63d0\u51fa\u548c\u88ab\u5e7f\u6cdb\u91c7\u7528\u7684\u201d\uff0cproposed 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Chem.\u3001Chem. Eur. J.\u4e0a\u9762\u7684\u6587\u7ae0\uff0c\u5c24\u5176\u662f\u5173\u4e8e\u8d85\u5206\u5b50\u5316\u5b66\u7684\u6587\u7ae0\uff0c\u819c\u62dcJ. Stoddart\u3001G. Whitesides\u3002\u540c\u65f6\u4e5f\u5f88\u559c\u6b22\u770bAdv. Mater.\u4e0a\u9762\u65b0\u5947\u7684\u3001\u201c\u667a\u80fd\u201d\u7684\u9ad8\u5206\u5b50\u4f53\u7cfb\u3002\u8bfb\u535a\u4e4b\u540e\uff0c\u6162\u6162\u770bPhys. Rev.\u7cfb\u5217\u591a\u4e86\u8d77\u6765\uff0cGReader\u679c\u65ad\u9000\u8ba2Adv. Mater.\u3001JACS\u3001Angew. Chem.\uff0c\u72c2\u8ba2arXiv\u3002Macromolecules\u3001Soft Matter\u548cLangmuir\u8fd9\u51e0\u4e2a\u5316\u5b66\u5b66\u4f1a\u529e\u7684\u671f\u520a\u4e4b\u6240\u6709\u8fd8\u7559\u4e0b\uff0c\u662f\u56e0\u4e3a\u8fd9\u4e0a\u9762\u504f\u7269\u7406\u7684\u4e1c\u897f\u8fd8\u7b97\u4e0d\u5c11\u6863\u6b21\u4e5f\u4e0d\u4f4e\u3002\u53bb\u5fb7\u56fd\u7684\u65f6\u5019Whilhelm\u6559\u6388\u8fd8\u8bf4\u6211\u5f88\u50cfphysicist\u3002\u6211\u5c31\u7b97\u662f\u4ece\u4e00\u4e2a\u4e0d\u5408\u683c\u7684chemist\u53d8\u6210\u4e86\u4e2a\u5f88\u50cfphysicist\u7684non-ist\u4e86\u3002\u73b0\u5728\u6211\u4e3a\u4e86\u7f16\u5199\u5206\u6790LAOS\u6570\u636e\u7684\u7a0b\u5e8f\uff0c\u4e0d\u5f97\u4e0d\u72c2\u770bIEEE\u4e0a\u7684\u6587\u7ae0\uff0c\u53d8\u6210\u5f88\u50cfengineer\uff0c\u4f46\u4e00\u70b9\u90fd\u4e0dpioneer\u7684noneer\u4e86\u3002\u867d\u7136\u6211\u4e3b\u8981\u7684\u96be\u70b9\u662f\u5982\u4f55\u5b8c\u7f8e\u5730\u907f\u514dspectral leakage\uff0c\u9996\u5148\u8981\u505a\u7684\u4e8b\u60c5\u8fd8\u662f\u8981\u7814\u8bfbIEEE Standard for Digitizing Waveform Recorders\u3002\u80f6\u4f53\u51dd\u80f6\u7684\u89e6\u53d8\u6027\u6a21\u578b\u7b2c\u4e8c\u90e8\u5206\u5c31\u662f\u7269\u8272\u4e00\u4e2a\u5408\u9002\u7684\u6a21\u578b\u628a\u5b9e\u9a8c\u73b0\u8c61\u63cf\u8ff0\u4e00\u904d\u4ee5\u52a0\u6df1\u7406\u89e3\u3002\u76ee\u524d\u521d\u6b65\u67e5\u6587\u732e\u4e86\u89e3\u5230\u7684\u662fD. Cheng\u7b49\u5efa\u7acb\u7684\u73b0\u8c61\u5b66\u6a21\u578b\u548cD. Weitz\u3001J. 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