{"id":21966,"date":"2023-10-27T05:30:09","date_gmt":"2023-10-27T05:30:09","guid":{"rendered":"https:\/\/science-hub.click\/%E3%81%B2%E3%81%9A%E3%81%BF%E3%83%86%E3%83%B3%E3%82%BD%E3%83%AB-%E5%AE%9A%E7%BE%A9\/"},"modified":"2023-10-27T05:30:09","modified_gmt":"2023-10-27T05:30:09","slug":"%E3%81%B2%E3%81%9A%E3%81%BF%E3%83%86%E3%83%B3%E3%82%BD%E3%83%AB-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=21966","title":{"rendered":"\u3072\u305a\u307f\u30c6\u30f3\u30bd\u30eb &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><div><div><b>\u79d1\u5b66\u8ad6\u6587<\/b><br\/><b>\u30c6\u30f3\u30bd\u30eb\u306b\u3064\u3044\u3066<\/b><\/div><div>\u4e00\u822c\u7684\u306a<\/div><p>\u30c6\u30f3\u30bd\u30eb<br\/><\/p><div>\u6570\u5b66<\/div><p>\u30c6\u30f3\u30bd\u30eb (\u6570\u5b66)<br\/>\u30c6\u30f3\u30bd\u30eb\u7a4d<br\/>&#8230;2 \u3064\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u3046\u3061<br\/>&#8230;2 \u3064\u306e\u7dda\u5f62\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e<br\/>\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570<br\/>\u30c6\u30f3\u30bd\u30eb\u5834<br\/>\u30c6\u30f3\u30bd\u30eb\u7a7a\u9593<br\/><\/p><div><span><a href=\"https:\/\/science-hub.click\/?p=54039\">\u7269\u7406\u7684\u306a<\/a><\/span><\/div><p>\u30a2\u30a4\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u5927\u4f1a<br\/>\u8a08\u91cf\u30c6\u30f3\u30bd\u30eb<br\/>\u30a8\u30cd\u30eb\u30ae\u30fc\u904b\u52d5\u91cf\u30c6\u30f3\u30bd\u30eb<br\/>\u30ea\u30fc\u30de\u30f3\u30c6\u30f3\u30bd\u30eb<br\/>&#8230; by \u30ea\u30c3\u30c1<br\/>&#8230;\u30a2\u30a4\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u8457<br\/>&#8230;\u30ef\u30a4\u30eb\u3088\u308a<br\/>&#8230; \u30ec\u30f4\u30a3\u30fb\u30c1\u30f4\u30a3\u30bf\u3088\u308a<br\/>&#8230;\u6bba\u5bb3\u306b\u3088\u308a<br\/>&#8230;by Killing-Yano<br\/> &#8230;\u30d9\u30eb\u30fb\u30ed\u30d3\u30f3\u30bd\u30f3\u3088\u308a<br\/>&#8230;\u30b3\u30c3\u30c8\u30f3\u30e8\u30fc\u30af\u3088\u308a<br\/>\u96fb\u78c1\u30c6\u30f3\u30bd\u30eb<br\/>\u5fdc\u529b\u30c6\u30f3\u30bd\u30eb<br\/><strong><span><a href=\"https:\/\/science-hub.click\/?p=21966\">\u3072\u305a\u307f\u30c6\u30f3\u30bd\u30eb<\/a><\/span><\/strong><br\/><\/p><div>\u95a2\u9023\u8a18\u4e8b<\/div><p>\u30e2\u30b8\u30e5\u30fc\u30eb<br\/>\u5c4b\u5916\u4ee3\u6570<br\/><\/p><div><b>\u6570\u5b66\u30dd\u30fc\u30bf\u30eb<\/b><\/div><div><b>\u7269\u7406\u30dd\u30fc\u30bf\u30eb<\/b><\/div><\/div><p><b>\u3072\u305a\u307f\u30c6\u30f3\u30bd\u30eb\u306f\u3001<\/b>\u5236\u7d04 (\u5185\u90e8\u529b) \u304b\u3089<span><a href=\"https:\/\/science-hub.click\/?p=61597\">\u751f\u3058\u308b<\/a><\/span>\u5c40\u6240\u7684\u306a\u5909\u5f62\u306e\u72b6\u614b\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u6b21\u6570 2 \u306e\u5bfe\u79f0\u30c6\u30f3\u30bd\u30eb\u3067\u3059\u3002<\/p><p>\u56fa\u4f53\u306e\u5909\u5f62\u72b6\u614b\u306f\u30c6\u30f3\u30bd\u30eb \u30d5\u30a3\u30fc\u30eb\u30c9\u306b\u3088\u3063\u3066\u8a18\u8ff0\u3055\u308c\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u5909\u5f62\u30c6\u30f3\u30bd\u30eb\u306f\u56fa\u4f53\u306e<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u3059\u3079\u3066\u306e<\/a><\/span><span><a href=\"https:\/\/science-hub.click\/?p=43578\">\u70b9<\/a><\/span>\u3067\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001<b>\u5909\u5f62\u30d5\u30a3\u30fc\u30eb\u30c9<\/b>\u306b\u3064\u3044\u3066\u8a71\u3057\u307e\u3059\u3002<\/p><p>\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306f \u03b5 <sub><i>ij<\/i><\/sub>\u3067\u8868\u3055\u308c\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p><ul><li>\u5bfe\u89d2\u9805\u03b5 <sub><i>ii \u306f<\/i><\/sub>\u3001\u65b9\u5411<i>i<\/i> (\u8ef8<i>x <sub>i<\/sub><\/i>\u306b\u6cbf\u3063\u305f) \u306e\u76f8\u5bfe\u4f38\u3073\u3067\u3059\u3002<\/li><li>\u4ed6\u306e\u9805 \u03b5 <sub><i>ij<\/i><\/sub> ( <i>i<\/i> \u2260 <i>j<\/i> ) \u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=108487\">\u76f4\u89d2<\/a><\/span>\u306e\u534a\u5206\u306e\u5909\u5316\u3067\u3042\u308b \u03b3 \u3067\u3059 (\u5909\u5f62\u524d\u306e<span><a href=\"https:\/\/science-hub.click\/?p=71631\">\u5c11\u91cf<\/a><\/span>\u306e\u7acb\u65b9\u4f53<span><a href=\"https:\/\/science-hub.click\/?p=98627\">\u7269\u8cea<\/a><\/span>\u3092\u60f3\u5b9a)\u3002<\/li><\/ul><p>\u7dda\u5f62\u5f3e\u6027\u306e\u67a0\u7d44\u307f\u3067\u306f\u3001\u3072\u305a\u307f\u30c6\u30f3\u30bd\u30eb\u306f\u4e00\u822c\u5316\u3055\u308c\u305f<span><a href=\"https:\/\/science-hub.click\/?p=14674\">\u30d5\u30c3\u30af\u306e\u6cd5\u5247<\/a><\/span>\u306b\u3088\u3063\u3066\u5fdc\u529b\u5834\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u3072\u305a\u307f\u30c6\u30f3\u30bd\u30eb - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/zxxl6uNPQXk\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u5909\u4f4d\u30d5\u30a3\u30fc\u30eb\u30c9<\/h2><p>\u5c0f\u3055\u306a\u5909\u5f62\u306e\u5834\u5408\u3001\u3053\u306e\u30c6\u30f3\u30bd\u30eb\u306f\u5909\u4f4d\u30d5\u30a3\u30fc\u30eb\u30c9\u304b\u3089\u6d3e\u751f\u3057\u305f\u30c6\u30f3\u30bd\u30eb\u3067\u3042\u308b<b>Green tensor<\/b>\u3067\u3059\u3002<\/p><p> <i>A \u3092<\/i>\u9759\u6b62\u3057\u3066\u3044\u308b\u56fa\u4f53\u306e\u70b9\u3068\u3057\u307e\u3059\u3002\u5909\u5f62\u5f8c\u306f\u70b9<i>A&#8217;<\/i>\u306b\u306a\u308a\u307e\u3059\u3002<b>\u70b9<i>A<\/i>\u306e\u5909\u4f4d\u3092<\/b><span><a href=\"https:\/\/science-hub.click\/?p=66129\">\u30d9\u30af\u30c8\u30eb<\/a><\/span>\u3068\u547c\u3073\u307e\u3059<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\vec{u}(A) = \\overrightarrow{AA&#8217;}} $$<\/div><\/dd><\/dl><p>\u3072\u305a\u307f\u30c6\u30f3\u30bd\u30eb\u3092\u5909\u4f4d\u5834\u306b\u95a2\u9023\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\varepsilon_{ij} = {1 \\over 2} \\left ({\\part u_i \\over \\part x_j} + {\\part u_j \\over \\part x_i}\\right )} $$<\/div> (\u7dda\u5f62\u5909\u5f62\u30aa\u30da\u30ec\u30fc\u30bf)\u3002<\/dd><\/dl><h2>\u76f8\u5bfe\u4f53\u7a4d\u5909\u52d5<\/h2><p>\u76f8\u5bfe\u7684\u306a\u4f53\u7a4d\u5909\u5316 \u0394 <i>V<\/i> \/ <i>V<\/i> <sub>0<\/sub>\u306f\u30c6\u30f3\u30bd\u30eb\u306e<span><a href=\"https:\/\/science-hub.click\/?p=59617\">\u30c8\u30ec\u30fc\u30b9<\/a><\/span>\u3067\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\frac{\\Delta V}{V_0} = \\varepsilon_{11} + \\varepsilon_{22} + \\varepsilon_{33}} $$<\/div><\/dd><\/dl><p>\u5b9f\u969b\u3001\u30a8\u30c3\u30b8<i>a<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=101007\">\u7acb\u65b9\u4f53<\/a><\/span>\u3092\u8003\u3048\u308b\u3068\u3001\u5909\u5f62\u5f8c\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=20918\">\u5bf8\u6cd5<\/a><\/span>\u304c\u6e96\u7acb\u65b9\u4f53 (\u89d2\u5ea6\u306e\u5909\u5316\u306b\u3088\u3063\u3066\u4f53\u7a4d\u304c\u5909\u5316\u3057\u306a\u3044) \u306b\u306a\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {a \\cdot (1 + \\varepsilon_{11}) \\times a \\cdot (1 + \\varepsilon_{22}) \\times a \\cdot (1 + \\varepsilon_{33})} $$<\/div> <i>V<\/i> <sub>0<\/sub> = <i>a<\/i> <sup>3<\/sup> \u3001\u3064\u307e\u308a<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\frac{\\Delta V}{V_0} = \\frac{\\left ( 1 + \\varepsilon_{11} + \\varepsilon_{22} + \\varepsilon_{33} + \\varepsilon_{11} \\cdot \\varepsilon_{22} + \\varepsilon_{11} \\cdot \\varepsilon_{33}+ \\varepsilon_{22} \\cdot \\varepsilon_{33} + \\varepsilon_{11} \\cdot \\varepsilon_{22} \\cdot \\varepsilon_{33} \\right ) \\cdot a^3 &#8211; a^3}{a^3}} $$<\/div><\/dd><\/dl><p>\u5909\u5f62\u304c\u975e\u5e38\u306b\u5c11\u306a\u3044\u305f\u3081\u3001<\/p><dl><dd> 1 &gt;&gt; \u03b5 <sub><i>ii<\/i><\/sub> &gt;&gt; \u03b5 <sub><i>ii<\/i><\/sub> \u00b7\u03b5 <sub><i>jj<\/i><\/sub> &gt;&gt; \u03b5 <sub>11<\/sub> \u00b7\u03b5 <sub>22<\/sub> \u00b7\u03b5 <sub>33<\/sub><\/dd><\/dl><p>\u3057\u305f\u304c\u3063\u3066\u7d50\u679c\u3067\u3059\u3002<\/p><p>\u3053\u306e\u3053\u3068\u304b\u3089\u3001\u7d14\u7c8b\u306a\u305b\u3093\u65ad\u306e\u5834\u5408\u306b\u306f\u4f53\u7a4d\u306b\u5909\u5316\u306f\u306a\u3044\u3053\u3068\u304c\u63a8\u6e2c\u3055\u308c\u307e\u3059\u3002<\/p><p>\u3088\u308a\u53b3\u5bc6\u306b\u306f\u3001\u76f8\u5bfe\u4f53\u7a4d\u5909\u5316 \u0394 <i>V<\/i> \/ <i>V<\/i> <sub>0<\/sub>\u306f |F|-1 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p><p>\u5b9f\u969b\u306b\u3001 <span>( <i>u<\/i> <sub>10<\/sub> , <i>u<\/i> <sub>20<\/sub> , <i>u<\/i> <sub>30<\/sub> )<\/span>\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u308b\u57fa\u672c<span>\u03a9 <sub>0<\/sub><\/span>\u306e\u30d7\u30ea\u30ba\u30e0\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002 <span>\u03a6<\/span>\u306b\u3088\u308b\u305d\u306e\u5909\u63db\u306f<span>\u3001( <i>u<\/i> <sub>1<\/sub> \u3001 <i>u<\/i> <sub>2<\/sub> \u3001 <i>u<\/i> <sub>3<\/sub> )<\/span>\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u308b\u30d7\u30ea\u30ba\u30e0\u3067\u3059\u3002<\/p><p> <i>dV \u3092<\/i>\u5909\u63db\u306e\u30dc\u30ea\u30e5\u30fc\u30e0\u3068\u3057\u3001 <i>dV<\/i> <sub>0 \u3092<\/sub>\u521d\u671f\u30d7\u30ea\u30ba\u30e0\u306e\u30dc\u30ea\u30e5\u30fc\u30e0\u3068\u3057\u307e\u3059\u3002<\/p><p>\u6211\u3005\u306f\u6301\u3063\u3066\u3044\u307e\u3059<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {dV = (u_1 \\wedge u_2 \\cdot u_3) = (\\underline{\\underline{F}}(u_{10}) \\wedge \\underline{\\underline{F}}(u_{20}) \\cdot \\underline{\\underline{F}}(u_{30})) = |\\underline{\\underline{F}}| (u_{10} \\wedge u_{20}\\cdot u_{30}) = |\\underline{\\underline{F}}| dV_0 } $$<\/div><\/dd><\/dl><p>\u3057\u305f\u304c\u3063\u3066\u3001\u0394 <i>V<\/i> \/ <i>V<\/i> = |F|-1<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u3072\u305a\u307f\u30c6\u30f3\u30bd\u30eb - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/RSSS9kOmQkA\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u5909\u5f62\u6f14\u7b97\u5b50\u306e\u5b9a\u7fa9<\/h2><h3><span>\u4e00\u6b21\u5143\u4f38\u3073<\/span><\/h3><p>\u8ef8<i>x<\/i> <sub>1<\/sub>\u306b\u5e73\u884c\u306a\u7dda\u5206 [ <i>AB<\/i> ] \u304c\u7dda\u5206 [ <i>A&#8217;B&#8217;<\/i> ] \u306b\u306a\u308a\u3001\u5909\u5f62\u3082<i>x<\/i> <sub>1<\/sub>\u306b\u5e73\u884c\u306b\u306a\u308b\u5834\u5408\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p><p>\u5909\u5f62 \u03b5 <sub>11 \u306e<\/sub>\u4fa1\u5024\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059 (\u4ee3\u6570\u8ddd\u96e2\u3067\u8868\u3055\u308c\u307e\u3059)\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\varepsilon_{11} = \\frac{\\Delta l}{l_0} = \\frac{\\overline{A&#8217;B&#8217;}-\\overline{AB}}{\\overline{AB}}} $$<\/div><\/dd><\/dl><p>\u305d\u308c\u3092\u77e5\u3063\u3066<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\overline{AA&#8217;} = u_1(A)} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\overline{BB&#8217;} = u_1(B)} $$<\/div><\/dd><\/dl><p>\u3057\u305f\u304c\u3063\u3066\u3001\u5909\u5f62\u306b\u306f\u4fa1\u5024\u304c\u3042\u308a\u307e\u3059<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\varepsilon_{11} = \\frac{\\overline{A&#8217;A} + \\overline{AB} + \\overline{BB&#8217;}}{\\overline{AB}} &#8211; 1} $$<\/div><\/dd><dd><div class=\"math-formual notranslate\">$$ {\\varepsilon_{11} = \\frac{u_1(B)-u_1(A) + \\overline{AB}}{\\overline{AB}} &#8211; 1} $$<\/div><\/dd><\/dl><p>\u5c0f\u3055\u306a\u5909\u5f62\u306e\u4e2d\u306b\u8eab\u3092\u7f6e\u304f\u3068\u3001 <i>u<\/i> <sub>1<\/sub>\u306e 1 \u6b21\u306e<span><a href=\"https:\/\/science-hub.click\/?p=17482\">\u9650\u5b9a\u5c55\u958b\u3092<\/a><\/span>\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {u_1(B) \\simeq u_1(A) + \\frac{\\partial u_1}{\\partial x_1} \\cdot \\overline{AB}} $$<\/div><\/dd><\/dl><p>\u306a\u3069<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\varepsilon_{11} =  \\frac{\\partial u_1}{\\partial x_1}} $$<\/div><\/dd><\/dl><p>\u3088\u308a\u4e00\u822c\u7684\u306b\u306f: <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\varepsilon_{ii} =  \\frac{\\partial u_i}{\\partial x_i} = \\frac{1}{2} \\left ( \\frac{\\partial u_i}{\\partial x_i} + \\frac{\\partial u_i}{\\partial x_i} \\right )} $$<\/div><\/dd><\/dl><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u3072\u305a\u307f\u30c6\u30f3\u30bd\u30eb - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/FKv5mjnYpcs\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u7d14\u7c8b\u306a\u305b\u3093\u65ad<\/span><\/h3><p>\u6b21\u306b\u3001\u7d14\u7c8b\u306a\u305b\u3093\u65ad\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002 [ <i>AB<\/i> ] \u304c<i>x<\/i> <sub>1<\/sub>\u306b\u5e73\u884c\u3067\u3001[ <i>AD<\/i> ] \u304c<i>x<\/i> <sub>2<\/sub>\u306b\u5e73\u884c\u3067\u3042\u308b<span><a href=\"https:\/\/science-hub.click\/?p=94249\">\u6b63\u65b9\u5f62<\/a><\/span><i>ABCD \u306f<\/i>\u3001\u5e73\u9762\u306e\u6700\u521d\u306e<span><a href=\"https:\/\/science-hub.click\/?p=109069\">\u4e8c\u7b49\u5206\u7dda<\/a><\/span>\u306b\u6cbf\u3063\u3066\u5bfe\u79f0\u306a<span><a href=\"https:\/\/science-hub.click\/?p=34144\">\u83f1\u5f62<\/a><\/span><i>AB&#8217;C&#8217;D&#8217;<\/i>\u306b\u5909\u63db\u3055\u308c\u307e\u3059\u3002<\/p><p>\u89d2\u5ea6 \u03b3 \u306e\u6b63\u63a5\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\tan(\\gamma) =  \\frac{\\overline{BB&#8217;}}{\\overline{AB}}} $$<\/div> \u3002<\/dd><\/dl><p>\u5c0f\u3055\u306a\u5909\u5f62\u306e\u5834\u5408\u306f\u3001 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\tan(\\gamma) \\simeq \\gamma} $$<\/div><\/dd><\/dl><p>\u540c\u69d8\u306b<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\overline{BB&#8217;} = u_2(B) \\simeq u_2(A) + \\frac{\\partial u_2}{\\partial x_1} \\cdot \\overline{AB}} $$<\/div><\/dd><\/dl><p> <i>u<\/i> <sub>2<\/sub> ( <i>A<\/i> ) = 0 \u306e\u5834\u5408\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\gamma \\simeq \\frac{\\partial u_2}{\\partial x_1}} $$<\/div><\/dd><\/dl><p>\u3053\u3053\u3067\u30bb\u30b0\u30e1\u30f3\u30c8 [ <i>AD<\/i> ] \u3092\u8003\u3048\u3066\u307f\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\gamma \\simeq \\frac{\\partial u_1}{\\partial x_2}} $$<\/div><\/dd><\/dl><p>\u306a\u3069<\/p><dl><dd><dl><dd><div class=\"math-formual notranslate\">$$ {\\gamma = \\varepsilon_{12} = \\frac{1}{2} \\left ( \\frac{\\partial u_1}{\\partial x_2} + \\frac{\\partial u_2}{\\partial x_1} \\right )} $$<\/div><\/dd><\/dl><\/dd><\/dl><p>\u3072\u3057\u5f62\u3092\u56de\u8ee2\u3055\u305b\u308b\u3068\u3001<span><a href=\"https:\/\/science-hub.click\/?p=87799\">\u5e73\u5747<\/a><\/span>\u3092\u53d6\u308b\u3053\u3068\u306b\u8208\u5473\u304c\u6e67\u3044\u3066\u304d\u307e\u3059\u3002\u6b21\u306b\u30012 \u3064\u306e\u89d2\u5ea6\u3092\u5b9a\u7fa9\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\gamma_B = \\widehat{B&#8217;AB}} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\gamma_D = \\widehat{D&#8217;AD}} $$<\/div> \u3002<\/p><hr\/><p><b>\u6ce8<\/b>: \u8a18\u4e8b<i>\u300c\u5f3e\u6027\u5909\u5f62\u300d<\/i>\u3067\u5b9a\u7fa9\u3055\u308c\u305f\u89d2\u5ea6 \u03b3 \u306f\u3001\u3053\u3053\u3067\u5b9a\u7fa9\u3055\u308c\u305f\u89d2\u5ea6\u306e 2 \u500d\u306e\u4fa1\u5024\u304c\u3042\u308a\u307e\u3059\u3002<\/p><hr\/><h3><span>\u4e00\u822c\u7684\u306a\u5b9a\u7fa9<\/span><\/h3><p><b>\u5909\u5f62\u30aa\u30da\u30ec\u30fc\u30bf\u306f\u3001<\/b>\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u5a92\u4f53\u306e\u5909\u5f62\u3001\u3064\u307e\u308a\u5a92\u4f53\u304c\u53d7\u3051\u308b\u5909\u5f62\u306b\u4f34\u3046\u30bb\u30b0\u30e1\u30f3\u30c8\u306e<span><a href=\"https:\/\/science-hub.click\/?p=17420\">\u9577\u3055<\/a><\/span>\u306e\u5909\u5316\u3092\u7279\u5fb4\u4ed8\u3051\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u305f\u30aa\u30da\u30ec\u30fc\u30bf\u3067\u3059\u3002<\/p><p> <i>A<\/i> &#8216; <i>B<\/i> &#8216; \u306b\u5909\u63db\u3055\u308c\u308b\u30bb\u30b0\u30e1\u30f3\u30c8<i>AB \u3092<\/i>\u8003\u3048\u307e\u3059\u3002\u3053\u306e\u6f14\u7b97\u5b50\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001 | \u3092\u5b9a\u91cf\u5316\u3067\u304d\u307e\u3059\u3002 <i>A<\/i> &#8216; <i>B<\/i> &#8216;|\u00b2-| <i>AB<\/i> |\u00b2\u3002<\/p><p> (\u5341\u5206\u306b\u898f\u5247\u7684\u306a) \u95a2\u6570\u306b\u3088\u3063\u3066\u4e2d\u592e\u306e\u5404\u70b9\u306e\u5909\u63db\u3092\u8a18\u8ff0\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\underline{\\Phi}(A&#8217;,t)} $$<\/div>\u306e\u3088\u3046\u306a<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\underline{OA&#8217;}=\\underline{\\Phi}(A,t)} $$<\/div><\/dd><\/dl><p>\u6b21\u306b\u3001\u5909\u5f62\u306e\u6982\u5ff5\u3092\u5c0e\u5165\u3057\u3066\u3001\u5909\u5f62\u5f8c\u306e\u56fa\u4f53\u306e 2 \u70b9\u9593\u306e\u8ddd\u96e2\u306e\u5909\u5316\u3092\u6e2c\u5b9a\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\underline{\\Phi}} $$<\/div> \u3002<\/p><p> | \u306e\u5c3a\u5ea6\u3092\u6c42\u3081\u307e\u3059\u3002 <i>A<\/i> &#8216; <i>B<\/i> &#8216;|\u00b2-| <i>AB<\/i> |\u00b2\u3002<\/p><p>\u3057\u304b\u3057\u3001\u79c1\u305f\u3061\u306f\u6301\u3063\u3066\u3044\u307e\u3059<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\underline{OA&#8217;} = \\underline{\\Phi}(A,t)} $$<\/div><\/dd><\/dl><p>\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\underline{OB&#8217;} = \\underline{OA&#8217;} + \\underline{\\underline{F}} \\cdot \\underline{AB} + o(\\|\\underline{AB}\\|)} $$<\/div><\/dd><\/dl><p>\u307e\u305f\u306f<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\underline{\\underline{F}} = \\underline{\\underline{grad}} (\\underline{\\Phi}) = \\frac{\\partial\\underline{\\Phi}}{\\partial A}} $$<\/div><\/dd><\/dl><p>\u306f\u5909\u63db\u306e\u52fe\u914d\u3067\u3059\u3002<\/p><p>\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\|A&#8217;B&#8217;\\|^2-\\|AB\\|^2 = \\underline{AB} \\left ( \\underline{\\underline{F}}^T \\cdot \\underline{\\underline{F}} &#8211; \\underline{\\underline{Id}} \\right ) \\underline{AB} } $$<\/div><\/dd><\/dl><p>\u79c1\u305f\u3061\u306f\u30dd\u30fc\u30ba\u3092\u3068\u308a\u307e\u3059: <\/p><p><div class=\"math-formual notranslate\">$$ {\\underline{\\underline{E}}} $$<\/div>\u306f\u30b0\u30ea\u30fc\u30f3 \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5909\u5f62\u6f14\u7b97\u5b50\u3067\u3059<\/p><p>\u5909\u4f4d\u30d9\u30af\u30c8\u30eb\u3092\u5c0e\u5165\u3059\u308b\u3068<\/p><dl><dd>\u4ee5\u4e0b\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002 <\/dd><\/dl><dl><dd><div class=\"math-formual notranslate\">$$ {\\underline{\\underline{E}}= \\frac{1}{2}\\left(\\frac{\\partial\\underline{u}}{\\partial A}^T \\cdot\\frac{\\partial\\underline{u}}{\\partial A} + \\frac{\\partial\\underline{u}}{\\partial A} +\\frac{\\partial\\underline{u}}{\\partial A}^T \\right) } $$<\/div><\/dd><\/dl><p>\u5c0f\u3055\u306a\u5909\u5f62\u3092\u4eee\u5b9a\u3059\u308b\u3068\u3001\u7dda\u5f62\u5316\u3055\u308c\u305f\u5909\u5f62\u6f14\u7b97\u5b50\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Tensor_deformaci%C3%B3\">Tensor deformaci\u00f3 \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Verzerrungstensor\">Verzerrungstensor \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Infinitesimal_strain_theory#Infinitesimal_strain_tensor\">Infinitesimal strain theory \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/Tensor_deformaci%C3%B3n\">Tensor deformaci\u00f3n \u2013 espagnol<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/pt.wikipedia.org\/wiki\/Tensor_deforma%C3%A7%C3%A3o\">Tensor deforma\u00e7\u00e3o \u2013 portugais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ru.wikipedia.org\/wiki\/%D0%A2%D0%B5%D0%BD%D0%B7%D0%BE%D1%80_%D0%B4%D0%B5%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%86%D0%B8%D0%B8\">\u0422\u0435\u043d\u0437\u043e\u0440 \u0434\u0435\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u0438 \u2013 russe<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u3072\u305a\u307f\u30c6\u30f3\u30bd\u30eb &#8211; \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u30100AL0602\u3011\u69cb\u9020\u529b\u5b66\u7279\u8ad6 08 Green-Lagrange\u3072\u305a\u307f\u30c6\u30f3\u30bd\u30eb\u306e\u5c0e\u5165\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/zxxl6uNPQXk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5c0e\u5165 \u79d1\u5b66\u8ad6\u6587\u30c6\u30f3\u30bd\u30eb\u306b\u3064\u3044\u3066 \u4e00\u822c\u7684\u306a \u30c6\u30f3\u30bd\u30eb \u6570\u5b66 \u30c6\u30f3\u30bd\u30eb (\u6570\u5b66)\u30c6\u30f3\u30bd\u30eb\u7a4d&#8230;2 \u3064\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u3046\u3061&#8230;2 \u3064\u306e\u7dda\u5f62\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u30c6\u30f3\u30bd\u30eb\u4ee3\u6570\u30c6\u30f3\u30bd\u30eb\u5834\u30c6\u30f3\u30bd\u30eb\u7a7a\u9593 \u7269\u7406\u7684\u306a \u30a2\u30a4\u30f3 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":21967,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/B5xyEpjNmVc\/0.jpg","fifu_image_alt":"\u3072\u305a\u307f\u30c6\u30f3\u30bd\u30eb - \u5b9a\u7fa9","footnotes":""},"categories":[5],"tags":[11,13,7437,14,10,23657,12,23658,8,16,15,9],"class_list":["post-21966","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-techniques","tag-technologie","tag-tenseur","tag-news","tag-actualite","tag-tenseur-des-deformations","tag-dossier","tag-deformations","tag-definition","tag-sciences","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/21966"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=21966"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/21966\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/21967"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=21966"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=21966"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=21966"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}