{"id":1715,"date":"2017-10-07T15:34:19","date_gmt":"2017-10-07T06:34:19","guid":{"rendered":"http:\/\/rheology.jp\/nagoya\/?p=1715"},"modified":"2020-03-13T11:45:16","modified_gmt":"2020-03-13T02:45:16","slug":"%e7%b2%98%e5%bc%be%e6%80%a7%e3%81%a8%e3%81%af%e4%bd%95%e3%81%8b","status":"publish","type":"post","link":"https:\/\/rheology.jp\/nagoya\/2017\/10\/%e7%b2%98%e5%bc%be%e6%80%a7%e3%81%a8%e3%81%af%e4%bd%95%e3%81%8b\/","title":{"rendered":"\u7c98\u5f3e\u6027\u3068\u306f\u4f55\u304b"},"content":{"rendered":"<p>\u7c98\u5f3e\u6027\u3068\u306f\u3069\u306e\u3088\u3046\u306a\u6027\u8cea\u306a\u306e\u3067\u3057\u3087\u3046\u304b\uff0e\u7c98\u5f3e\u6027\u306f\uff0c\u7c98\u6027\u3068\u5f3e\u6027\u306e\u4e21\u65b9\u3092\u4f75\u305b\u6301\u3064\u6027\u8cea\uff0c\u3068\u8a00\u308f\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u304c\uff0c\u3053\u306e\u8aac\u660e\u306f\u6b63\u78ba\u3067\u306f\u3042\u308a\u307e\u305b\u3093\uff0e\uff08\u4f8b\u3048\u3070\u5851\u6027\u3067\u3082\u7c98\u6027\u3068\u5f3e\u6027\u306e\u4e21\u65b9\u3092\u793a\u3057\u307e\u3059\uff0e\uff09<\/p>\n<p>\u7c98\u5f3e\u6027\u306f\uff0c\u300c\u5206\u5b50\u306e\u71b1\u904b\u52d5\u306b\u3088\u308b\u7de9\u548c\u304c\u5fdc\u529b\u306e\u7de9\u548c\u3068\u3057\u3066\u89b3\u6e2c\u3055\u308c\u308b\u73fe\u8c61\u300d\u3067\u3059\uff0e\u56f3\uff11\u306e\u3088\u3046\u306b\uff0c\u968e\u6bb5\u72b6\u306e\u3072\u305a\u307f\u3092\u4e0e\u3048\u308b\u5b9f\u9a13\uff08\u300c\u5fdc\u529b\u7de9\u548c\u5b9f\u9a13\u300d\u3068\u547c\u3073\u307e\u3059\uff09\u3092\u884c\u3046\u3068\u7cfb\u306f\u5e73\u8861\u72b6\u614b\u304b\u3089\u5916\u308c\u305f\u975e\u5e73\u8861\u72b6\u614b\u3068\u306a\u308a\uff0c\u5206\u5b50\u306e\u71b1\u904b\u52d5\u306b\u3088\u3063\u3066\u6642\u9593\u3068\u3068\u3082\u306b\u5e73\u8861\u72b6\u614b\u306b\u623b\u3063\u3066\u3044\u304d\u307e\u3059\uff0e\u3053\u306e\u69d8\u5b50\u304c\u5fdc\u529b\u306e\u6642\u9593\u5909\u5316\u3068\u3057\u3066\u89b3\u6e2c\u3067\u304d\u308b\u3068\uff0c\u6642\u9593\u3068\u3068\u3082\u306b\u5fdc\u529b\u304c\u6e1b\u8870\u3057\u307e\u3059\uff0e\u3053\u308c\u304c\u7c98\u5f3e\u6027\u3067\u3059\uff0e\u5909\u5f62\u958b\u59cb\u76f4\u5f8c\u306e\u6319\u52d5\u306f\u5f3e\u6027\u3067\u3059\u304c\uff0c\u6642\u9593\u3092\u7d4c\u308b\u306b\u5f93\u3063\u3066\u5f90\u3005\u306b\u7c98\u6027\u3092\u793a\u3059\u3088\u3046\u306b\u898b\u3048\u308b\u306e\u3067\uff0c\u7c98\u5f3e\u6027\u3068\u547c\u3070\u308c\u307e\u3059\uff0e<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/RELAXATION.jpg?ssl=1\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1718 aligncenter\" src=\"https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/RELAXATION.jpg?resize=626%2C233&#038;ssl=1\" alt=\"\" width=\"626\" height=\"233\" srcset=\"https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/RELAXATION.jpg?w=626&amp;ssl=1 626w, https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/RELAXATION.jpg?resize=300%2C112&amp;ssl=1 300w, https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/RELAXATION.jpg?resize=230%2C86&amp;ssl=1 230w, https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/RELAXATION.jpg?resize=350%2C130&amp;ssl=1 350w, https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/RELAXATION.jpg?resize=480%2C179&amp;ssl=1 480w\" sizes=\"(max-width: 626px) 100vw, 626px\" data-recalc-dims=\"1\" \/><\/a><br \/>\n\u56f3\uff11\u3000\u5909\u5f62\u5f8c\u306e\u7de9\u548c\u73fe\u8c61<\/p>\n<p>\u4e0a\u8a18\u306e\u7de9\u548c\u73fe\u8c61\u306f\u3069\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3055\u308c\u308b\u3067\u3057\u3087\u3046\u304b\uff0e\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u4eee\u5b9a\u306e\u3082\u3068\u3067\u306f\u6307\u6570\u95a2\u6570\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff0e\u4eee\u5b9a\uff11\uff1a\u52a0\u3048\u308b\u5909\u5f62\u306e\u5927\u304d\u3055\uff08\u3072\u305a\u307f\uff09\u3068\uff0c\u52b1\u8d77\u3055\u308c\u308b\u5206\u5b50\u306e\u6570\u306f\u6bd4\u4f8b\u3059\u308b\uff0e\u3000\u4eee\u5b9a\uff12\uff1a\u52b1\u8d77\u3057\u3066\u3044\u308b\u6210\u5206\u306e\u6570\u3068\u5fdc\u529b\u306f\u6bd4\u4f8b\u3059\u308b\uff0e\u3000\u4eee\u5b9a\uff13\uff1a\u5404\u5206\u5b50\u306f\u72ec\u7acb\u306b\u7de9\u548c\u3059\u308b\uff0e\u3000\u52b1\u8d77\u3057\u305f\u5206\u5b50\u306e\u6570\u3092$[A*]$\uff0c\u5e73\u8861\u72b6\u614b\uff08\u52b1\u8d77\u3055\u308c\u308b\u524d\u306e\u72b6\u614b\uff09\u306b\u3042\u308b\u5206\u5b50\u306e\u6570\u3092$[A]$\u3068\u3057\u307e\u3059\uff0e\u4eee\u5b9a\uff13\u306b\u57fa\u3065\u3051\u3070\uff0cA*\u304b\u3089A\u3078\u306e\u9077\u79fb\u306f\u4e00\u6b21\u306e\u53cd\u5fdc\u901f\u5ea6\u5f0f\u3067\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff0e\u3064\u307e\u308a$[A*]\\rightarrow[A]$ \u3067\u3059\uff0e\u53cd\u5fdc\u901f\u5ea6\u5b9a\u6570\u3092$k$\u3068\u3059\u308c\u3070\uff0c$d[A*]\/dt = -k[A*]$\u3068\u306a\u308a\u307e\u3059\u306e\u3067\uff0c$[A*]=[A*]_0 \\exp(-kt)$\u3068\u306a\u308a\u307e\u3059\uff0e$[A*]_0$\u306f$t=0$\u306e\u3068\u304d\u306e$[A*]$\u3067\u3059\uff0e\u3053\u3053\u3067\u4eee\u5b9a\uff12\u3092\u3064\u304b\u3063\u3066\uff0c$[A*]_0=\\gamma[A*]_{00}$\u3068\u66f8\u304f\u3053\u3068\u306b\u3057\u307e\u3059\uff0e$\\gamma$\u306f\u4e0e\u3048\u305f\u6b6a\u307f\u306e\u5927\u304d\u3055\u3067\u3059\uff0e\u307e\u305f\uff0c$k$\u306f\u6642\u9593\u306e\u9006\u6570\u3067\u3059\u304b\u3089\uff0c$\\tau=1\/k$\u3068\u3059\u308c\u3070\uff0c$[A*]=\\gamma[A*]_{00} \\exp(-t\/\\tau)$\u3068\u306a\u308a\u307e\u3059\uff0e\u6700\u5f8c\u306b\u4eee\u5b9a\uff11\u3092\u4f7f\u3063\u3066\uff0c$\\sigma\\propto[A*]$\u3068\u3057\uff0c\u307e\u305f$\\sigma=G\\gamma$\u3068\u3059\u308b\u3068\uff0c$\\sigma(t)\/\\gamma=G\\exp(-kt)$\u3068\u306a\u308a\u307e\u3059\uff0e$\\sigma(t)\/\\gamma=G(t)$\u3068\u5b9a\u7fa9\u3057\u307e\u3059\u3068\uff08\u3053\u308c\u3092\u7de9\u548c\u5f3e\u6027\u7387\u3068\u3044\u3044\u307e\u3059\u304c\uff09$G(t)=G\\exp(-kt)$\u304c\u5f97\u3089\u308c\u307e\u3059\uff0e<\/p>\n<p>\u7de9\u548c\u306e\u69d8\u5b50\u3092\u6a21\u5f0f\u7684\u306b\u56f3\uff12\u306b\u793a\u3057\u307e\u3057\u305f\uff0e\u7de9\u548c\u304c\u5358\u4e00\u6307\u6570\u95a2\u6570\u3067\u66f8\u304b\u308c\u308b\u3053\u3068\u306f\u3042\u307e\u308a\u591a\u304f\u3042\u308a\u307e\u305b\u3093\uff0eA\u304b\u3089A*\u306b\u81f3\u308b\u7de9\u548c\u306e\u30eb\u30fc\u30c8\u304c\u5358\u4e00\u3067\u306f\u306a\u3044\u3053\u3068\u304c\u591a\u3044\u305f\u3081\u3067\u3059\uff0e\u305d\u308c\u305e\u308c\u306e\u7de9\u548c\u30eb\u30fc\u30c8\u304c\u72ec\u7acb\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3059\u308b\u3068\uff0c\u7de9\u548c\u6319\u52d5\u306f\u6307\u6570\u95a2\u6570\u306e\u7dda\u5f62\u548c\u3068\u3057\u3066$G(t)=\\sum_i G_i \\exp(-t\/\\tau_i)$\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff0e<\/p>\n<p>\u7c98\u5f3e\u6027\u306f\u300c\u7de9\u548c\u5f3e\u6027\u7387\u300d\u3067\u8a55\u4fa1\u3057\uff0c\u300c\u7de9\u548c\u30b9\u30da\u30af\u30c8\u30eb\u300d\u3067\u5b9a\u91cf\u5316\u3057\u307e\u3059\uff0e$G(t)=\\sum_i G_i \\exp(-t\/\\tau_i)$\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<em>G<sub>i<\/sub><\/em><em>t<sub>i<\/sub><\/em>\u306f\u300c\u7de9\u548c\u5f37\u5ea6\u300d\uff0c\u300c\u7de9\u548c\u6642\u9593\u300d\u3068\u547c\u3070\u308c\u307e\u3059\uff0e\u3072\u3068\u307e\u3068\u3081\u306b\u3057\u3066\u300c\u7de9\u548c\u30b9\u30da\u30af\u30c8\u30eb\u300d\u3068\u547c\u3070\u308c\u307e\u3059\uff0e\uff08\u6b63\u78ba\u306b\u306f\uff0c\u7de9\u548c\u6642\u9593\u306e\u5206\u5e03\u3092\u9023\u7d9a\u5316\u3057\u305f\u3068\u304d\u306e\u5f37\u5ea6\u5206\u5e03\u304c\u7de9\u548c\u30b9\u30da\u30af\u30c8\u30eb\u3067\u3059\uff0e\uff09<\/p>\n<p style=\"text-align: center;\">\n<a href=\"https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/VISC.jpg?ssl=1\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1717 aligncenter\" src=\"https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/VISC.jpg?resize=397%2C351&#038;ssl=1\" alt=\"\" width=\"397\" height=\"351\" srcset=\"https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/VISC.jpg?w=397&amp;ssl=1 397w, https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/VISC.jpg?resize=300%2C265&amp;ssl=1 300w, https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/VISC.jpg?resize=230%2C203&amp;ssl=1 230w, https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/VISC.jpg?resize=350%2C309&amp;ssl=1 350w\" sizes=\"(max-width: 397px) 100vw, 397px\" data-recalc-dims=\"1\" \/><\/a><br \/>\n\u56f3\uff12\u3000\u5fdc\u529b\u7de9\u548c\u5b9f\u9a13\u3068\u7de9\u548c\u5f3e\u6027\u7387<\/p>\n<p>&nbsp;<\/p>\n<p>\u7de9\u548c\u30b9\u30da\u30af\u30c8\u30eb\u306b\u306f\u5206\u5b50\u3084\u69cb\u9020\u306e\u71b1\u904b\u52d5\u3092\u77e5\u308b\u624b\u304c\u304b\u308a\u306b\u306a\u308b\u60c5\u5831\u304c\u305f\u304f\u3055\u3093\u542b\u307e\u308c\u3066\u3044\u307e\u3059\uff0e\u4f8b\u3048\u3070<em>t<\/em><sub>i<\/sub>\u306e\u3046\u3061\u3067\u6700\u3082\u5927\u304d\u306a\u3082\u306e\uff08<em>t<sub>i<\/sub><\/em>\u306f\u6163\u4f8b\u3067\u9577\u3044\u3082\u306e\u304b\u3089\u9806\u306b\u756a\u53f7\u3092\u3064\u3051\u308b\u306e\u3067<em>t<\/em><sub>1<\/sub>\uff09\u306f\u300c\u6700\u9577\u7de9\u548c\u6642\u9593\u300d\u3068\u547c\u3070\u308c\uff0c\u7cfb\u306b\u542b\u307e\u308c\u308b\u6700\u3082\u9045\u3044\u904b\u52d5\u3092\u7279\u5fb4\u4ed8\u3051\u308b\u6642\u9593\u3067\u3059\uff0e\u5747\u4e00\u7cfb\u3067\u3042\u308c\u3070\uff0c\u5206\u5b50\u306e\u91cd\u5fc3\u304c\u5206\u5b50\u306e\u5e83\u304c\u308a\u3068\u540c\u7a0b\u5ea6\u306e\u8ddd\u96e2\u3092\u71b1\u904b\u52d5\u3067\u79fb\u52d5\u3059\u308b\u306e\u306b\u5fc5\u8981\u306a\u6642\u9593\u306b\u76f8\u5f53\u3057\u307e\u3059\uff0e<\/p>\n<p>\u3057\u304b\u3057\uff0c\u7de9\u548c\u30b9\u30da\u30af\u30c8\u30eb$\\{G_i,\\tau_i\\}$\u305d\u306e\u3082\u306e\u3092\u6c7a\u3081\u308b\u3053\u3068\u306b\u306f\u610f\u5473\u306f\u3042\u308a\u307e\u305b\u3093\uff0e\u56f3\uff12\u306e\u7de9\u548c\u95a2\u6570\u3092\u6307\u6570\u95a2\u6570\u3067\u30d5\u30a3\u30c3\u30c6\u30a3\u30f3\u30b0\u3059\u308b\u554f\u984c\u306fill-posed\u3067\u3059\uff0e\u3064\u307e\u308a\uff0c\u552f\u4e00\u89e3\u3092\u6301\u305f\u306a\u3044\u554f\u984c\u3067\u3059\uff0e\u3057\u305f\u304c\u3063\u3066\uff0c$G_i$\u3084$\\tau_i$\u305d\u306e\u3082\u306e\u3067\u306f\u306a\u304f\uff0c\u7de9\u548c\u306e\u6982\u5f62\u3092\u5b9a\u91cf\u5316\u3059\u308b\u305f\u3081\u306b\uff0c\u7d71\u8a08\u91cf\u3092\u8a55\u4fa1\u3057\u307e\u3059\uff0e\u8868\uff11\u306b\u793a\u3059\u3088\u3046\u306b\uff0c\u5206\u5b50\u91cf\u5206\u5e03\u3068\u306e\u5bfe\u5fdc\u3067\u8003\u3048\u308b\u3068\u5206\u304b\u308a\u3084\u3059\u3044\u3067\u3057\u3087\u3046\uff0e\u3053\u308c\u3089\u306e\u91cf\u306f\uff0c\u5225\u306b\u8ff0\u3079\u308b\u52d5\u7684\u7c98\u5f3e\u6027\u8a66\u9a13\u3092\u884c\u3046\u3068\uff0c\u4f5c\u56f3\u3067\u5bb9\u6613\u306b\u8a55\u4fa1\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff0e<\/p>\n<p style=\"text-align: center;\">\n\u8868\uff11\u3000\u7de9\u548c\u6642\u9593\u5206\u5e03\u3068\u5206\u5b50\u91cf\u5206\u5e03\uff1a\u7d71\u8a08\u91cf\u306e\u5bfe\u5fdc<br \/>\n<a href=\"https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/Table_moldisp.jpg?ssl=1\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/Table_moldisp.jpg?resize=597%2C222&#038;ssl=1\" alt=\"\" width=\"597\" height=\"222\" class=\"aligncenter size-full wp-image-1721\" srcset=\"https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/Table_moldisp.jpg?w=597&amp;ssl=1 597w, https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/Table_moldisp.jpg?resize=300%2C112&amp;ssl=1 300w, https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/Table_moldisp.jpg?resize=230%2C86&amp;ssl=1 230w, https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/Table_moldisp.jpg?resize=350%2C130&amp;ssl=1 350w, https:\/\/i0.wp.com\/rheology.jp\/nagoya\/wp-content\/uploads\/2017\/10\/Table_moldisp.jpg?resize=480%2C178&amp;ssl=1 480w\" sizes=\"(max-width: 597px) 100vw, 597px\" data-recalc-dims=\"1\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7c98\u5f3e\u6027\u3068\u306f\u3069\u306e\u3088\u3046\u306a\u6027\u8cea\u306a\u306e\u3067\u3057\u3087\u3046\u304b\uff0e\u7c98\u5f3e 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