{"id":99601,"date":"2024-07-22T02:18:08","date_gmt":"2024-07-22T02:18:08","guid":{"rendered":"https:\/\/science-hub.click\/%E5%BF%9C%E5%8A%9B%E3%83%86%E3%83%B3%E3%82%BD%E3%83%AB-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-07-22T02:18:08","modified_gmt":"2024-07-22T02:18:08","slug":"%E5%BF%9C%E5%8A%9B%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=99601","title":{"rendered":"\u5fdc\u529b\u30c6\u30f3\u30bd\u30eb – \u5b9a\u7fa9"},"content":{"rendered":"

\u5c0e\u5165<\/h2>
\u79d1\u5b66\u8ad6\u6587<\/b>\u30c6\u30f3\u30bd\u30eb\u306b\u3064\u3044\u3066<\/b><\/div>
\u4e00\u822c\u7684\u306a<\/div>

\u30c6\u30f3\u30bd\u30eb<\/p>

\u6570\u5b66<\/div>

\u30c6\u30f3\u30bd\u30eb (\u6570\u5b66)\u30c6\u30f3\u30bd\u30eb\u7a4d…2 \u3064\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u3046\u3061…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<\/p>

\u7269\u7406\u7684\u306a<\/a><\/span><\/div>

\u30a2\u30a4\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u5927\u4f1a\u8a08\u91cf\u30c6\u30f3\u30bd\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u904b\u52d5\u91cf\u30c6\u30f3\u30bd\u30eb\u30ea\u30fc\u30de\u30f3\u30c6\u30f3\u30bd\u30eb… by \u30ea\u30c3\u30c1…\u30a2\u30a4\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u8457…\u30ef\u30a4\u30eb\u3088\u308a… \u30ec\u30f4\u30a3\u30fb\u30c1\u30f4\u30a3\u30bf\u3088\u308a…\u6bba\u5bb3\u306b\u3088\u308a…by Killing-Yano …\u30d9\u30eb\u30fb\u30ed\u30d3\u30f3\u30bd\u30f3\u3088\u308a…\u30b3\u30c3\u30c8\u30f3\u30e8\u30fc\u30af\u3088\u308a\u96fb\u78c1\u30c6\u30f3\u30bd\u30eb\u5fdc\u529b\u30c6\u30f3\u30bd\u30eb<\/a><\/span><\/strong>\u3072\u305a\u307f\u30c6\u30f3\u30bd\u30eb<\/p>

\u95a2\u9023\u8a18\u4e8b<\/div>

\u30e2\u30b8\u30e5\u30fc\u30eb\u5c4b\u5916\u4ee3\u6570<\/p>

\u6570\u5b66\u30dd\u30fc\u30bf\u30eb<\/b><\/div>
\u7269\u7406\u30dd\u30fc\u30bf\u30eb<\/b><\/div><\/div>

\u5fdc\u529b\u30c6\u30f3\u30bd\u30eb\u306f\u3001<\/b> \u9023\u7d9a\u5a92\u4f53\u306e\u529b\u5b66<\/a><\/span>\u3067\u5fdc\u529b\u306e\u72b6\u614b\u3001\u3064\u307e\u308a\u5a92\u4f53\u306e\u5909\u5f62\u90e8\u5206\u9593\u306b\u4f5c\u7528\u3059\u308b\u8868\u9762\u529b (\u52aa\u529b<\/i>\u3068\u3082\u547c\u3070\u308c\u307e\u3059) \u3092\u8868\u3059\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u8868\u73fe\u3067\u3059\u3002\u3053\u306e\u7528\u8a9e\u306f 1822 \u5e74\u9803\u306b\u30b3\u30fc\u30b7\u30fc\u306b\u3088\u3063\u3066\u5c0e\u5165\u3055\u308c\u307e\u3057\u305f\u3002<\/p>

\u8868\u9762\u529b\u306f\u5a92\u4f53\u3068\u4ea4\u5dee\u3059\u308b\u5404\u8868\u9762<\/a><\/span>\u306b\u5bfe\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u305f\u3081\u3001\u30c6\u30f3\u30bd\u30eb\u306f\u56fa\u4f53\u306e\u5404\u70b9<\/a><\/span>\u307e\u305f\u306f\u5c40\u6240\u7684\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u56fa\u4f53\u306e\u5fdc\u529b\u72b6\u614b\u306f\u30c6\u30f3\u30bd\u30eb\u5834\u306b\u3088\u3063\u3066\u8868\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u4e8b\u5b9f\u306f\u3001\u5236\u7d04\u30d5\u30a3\u30fc\u30eb\u30c9<\/b>\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002<\/p>

\u7dda\u5f62\u5f3e\u6027\u306e\u67a0\u7d44\u307f\u3067\u306f\u3001\u5fdc\u529b\u5834\u306f\u4e00\u822c\u5316\u3055\u308c\u305f\u30d5\u30c3\u30af\u306e\u6cd5\u5247<\/a><\/span>\u306b\u3088\u3063\u3066\u5909\u5f62\u5834\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u30c6\u30f3\u30bd\u30eb (\u4ee3\u6570\u3067\u306f\u306a\u3044)\u65b9\u7a0b\u5f0f<\/a><\/span>\u03c3 = E\u03b5 \u3092<\/i><\/span>\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>

\u69cb\u9020\u5730\u8cea\u5b66<\/a><\/span>\u3068\u30c6\u30af\u30c8\u30cb\u30af\u30b9<\/a><\/span>\u306e\u6587\u8108\u3067\u306f\u3001\u53e4\u5fdc\u529b\u30c6\u30f3\u30bd\u30eb<\/i>\u306b\u3064\u3044\u3066\u3088\u304f\u8a71\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u3072\u3060\u3001\u65ad\u5c64\u3001\u7247\u7406\u306a\u3069\u306e\u5909\u5f62\u306e\u539f\u56e0\u3068\u306a\u308b\u3001\u5fdc\u529b\u30c6\u30f3\u30bd\u30eb\u306e\u7570\u65b9\u6027<\/span>\u90e8\u5206\u3092\u8868\u3057\u307e\u3059\u3002\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u306e\u9805\u306e\u7d76\u5bfe\u5024<\/a><\/span>\u306b\u306f\u30a2\u30af\u30bb\u30b9\u3067\u304d\u307e\u305b\u3093\u304c\u3001\u4e3b\u306a\u4e09\u8ef8\u306e\u65b9\u5411<\/a><\/span>\u3068\u3001\u3053\u308c\u3089 3 \u3064\u306e\u8ef8\u9593\u306e\u5f37\u5ea6\u6bd4\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u306f\u53ef\u80fd\u3067\u3059\u3002<\/p>

\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u5149\u5f3e\u6027\u6e2c\u5b9a\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u3053\u308c\u3089\u306e\u5fdc\u529b\u3092\u8996\u899a\u5316\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>

\n\"\u5fdc\u529b\u30c6\u30f3\u30bd\u30eb<\/figure>

\u30c6\u30f3\u30bd\u30eb\u306e\u69cb\u7bc9<\/h2>

\u57fa\u790e\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046

$$ {(\\vec{e_1},\\vec{e_2},\\vec{e_3})} $$<\/div>\u305d\u3057\u3066\u90e8\u5c4b\u306e\u70b9M\u3002<\/i> M \u306e<\/i>\u5468\u56f2\u306b<\/a><\/span>\u3001\u7121\u9650\u5c0f\u306e\u30a8\u30c3\u30b8dx<\/i> = a<\/i>\u3092\u6301\u3061\u3001\u305d\u306e\u30a8\u30c3\u30b8\u304c\u30d5\u30ec\u30fc\u30e0\u306e\u8ef8\u306b\u5e73\u884c\u306a\u7acb\u65b9\u4f53<\/a><\/span>\u7269\u8cea<\/a><\/span>\u3092\u8003\u3048\u307e\u3059\u3002<\/p>
\n\"\"<\/figure>
\u7acb\u65b9\u4f53\u306e\u9762\u306e\u756a\u53f7\u4ed8\u3051<\/div><\/div><\/div>

\u305d\u306e\u9762\u306b\u756a\u53f7\u3092\u4ed8\u3051\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>

\u9762i<\/i>\u3068 – i \u306f<\/i>\u6cd5\u7dda\u306e\u9762\u3067\u3059\u3002
$$ {\\vec{e_i}} $$<\/div>\u7acb\u65b9\u4f53\u306e\u4e2d\u5fc3\u304b\u3089\u59cb\u3081\u3066\u3001
$$ {\\vec{e_i}} $$<\/div> i<\/i> \u3001\u3064\u307e\u308a\u9762\u3092\u6307\u3057\u307e\u3059\u3002i \u306f<\/i>\u53cd\u5bfe\u5074\u306e\u9762\u3067\u3059\u3002<\/dd><\/dl>

\u307e\u305a<\/a><\/span>\u3001\u6b63\u306e\u756a\u53f7\u304c\u4ed8\u3051\u3089\u308c\u305f\u9762\u306e\u307f\u3092\u8003\u616e\u3057\u307e\u3059\u3002<\/p>

\n\"\"<\/figure>
\u30c6\u30f3\u30bd\u30eb\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9<\/div><\/div><\/div>

\u9762j<\/i>\u306b\u306f\u529b\u30d9\u30af\u30c8\u30eb\u304c\u4f5c\u7528\u3057\u307e\u3059

$$ {\\vec{F_j}} $$<\/div>\u3053\u308c\u306b\u306f 3 \u3064\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>
$$ {\\vec{F_j} = \\begin{pmatrix} F_{1j} \\\\ F_{2j} \\\\ F_{3j} \\end{pmatrix}} $$<\/div><\/dd><\/dl>

F ij \u306f<\/sub><\/i>\u6b21\u306e\u6210\u5206\u3067\u3059

$$ {\\vec{e_i}} $$<\/div>\u9762j<\/i>\u306b\u4f5c\u7528\u3059\u308b\u529b\u30d9\u30af\u30c8\u30eb\u306e\u3002\u5404\u30d5\u30a1\u30bb\u30c3\u30c8\u306e\u8868\u9762\u306f2<\/i>\u3067<\/sup>\u3042\u308b\u305f\u3081\u3001\u5236\u7d04\u306b\u5bfe\u3057\u3066\u540c\u6b21\u306e 9 \u3064\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8 \u03c3 ij<\/i><\/sub>\u3092\u5b9a\u7fa9\u3067\u304d\u307e\u3059\u3002 <\/p>
$$ {\\sigma_{ij} = \\frac{F_{ij}}{a^2}} $$<\/div><\/dd><\/dl>

\u3057\u305f\u304c\u3063\u3066\u3001\u5fdc\u529b\u306e\u72b6\u614b\u3092\u30c6\u30f3\u30bd\u30eb\u3067\u8a18\u8ff0\u3057\u307e\u3059\u3002 <\/p>

$$ {T(M) = \\begin{pmatrix} \\sigma_{11} & \\sigma_{12} & \\sigma_{13}\\\\ \\sigma_{21} & \\sigma_{22} & \\sigma_{23}\\\\ \\sigma_{31} & \\sigma_{32} & \\sigma_{33}\\\\ \\end{pmatrix} } $$<\/div><\/dd><\/dl>

T \u306f<\/i>\u30013 \u884c 3 \u5217\u306e\u6b21\u6570 2 \u306e\u30c6\u30f3\u30bd\u30eb\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u7279\u5b9a\u306e\u70b9M<\/i>\u306b\u5bfe\u3057\u3066\u30ed\u30fc\u30ab\u30eb\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>

\u529b\u5b66<\/a><\/span>\u3067\u306f\u3001\u4e00\u822c\u5316\u3055\u308c\u305f\u8868\u8a18\u6cd5\u3092\u5e38\u306b\u4f7f\u7528\u3059\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002

$$ {(\\vec{e_i})} $$<\/div>\u30d9\u30fc\u30b9\u7528\u3002\u30d9\u30fc\u30b9\u306b\u6ce8\u76ee\u3059\u308b\u3068
$$ {(\\vec{x}, \\vec{y}, \\vec{z})} $$<\/div> \u3001\u30c6\u30f3\u30bd\u30eb\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u304c\u6ce8\u76ee\u3055\u308c\u307e\u3059\u3002 <\/p>
$$ {T(M) = \\begin{pmatrix} \\sigma_{xx} & \\sigma_{xy} & \\sigma_{xz}\\\\ \\sigma_{yx} & \\sigma_{yy} & \\sigma_{yz}\\\\ \\sigma_{zx} & \\sigma_{zy} & \\sigma_{zz}\\\\ \\end{pmatrix} } $$<\/div><\/dd><\/dl>

\u305b\u3093\u65ad\u306b\u5bfe\u5fdc\u3059\u308b\u975e\u5bfe<\/a><\/span>\u89d2\u9805\u306f \u03c4 ij<\/i><\/sub>\u3067\u8868\u3055\u308c\u308b\u3053\u3068\u304c\u591a\u304f\u3001\u30c6\u30f3\u30bd\u30eb\u306e\u6210\u5206\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002 <\/p>

$$ {T(M) = \\begin{pmatrix} \\sigma_{xx} & \\tau_{xy} & \\tau_{xz}\\\\ \\tau_{yx} & \\sigma_{yy} & \\tau_{yz}\\\\ \\tau_{zx} & \\tau_{zy} & \\sigma_{zz}\\\\ \\end{pmatrix} } $$<\/div><\/dd><\/dl><\/div>

\u53c2\u8003\u8cc7\u6599<\/h2>
  1. \u0645\u0645\u062a\u062f \u0627\u0644\u0625\u062c\u0647\u0627\u062f \u0644\u0643\u0648\u0634\u064a \u2013 arabe<\/a><\/li>
  2. \u0422\u044d\u043d\u0437\u0430\u0440 \u043d\u0430\u043f\u0440\u0443\u0436\u0430\u043d\u043d\u044f\u045e \u2013 bi\u00e9lorusse<\/a><\/li>
  3. Tensor tensi\u00f3 \u2013 catalan<\/a><\/li>
  4. Spannungstensor \u2013 allemand<\/a><\/li>
  5. \u03a4\u03b1\u03bd\u03c5\u03c3\u03c4\u03ae\u03c2 \u03c4\u03ac\u03c3\u03b5\u03c9\u03bd \u039a\u03c9\u03c3\u03cd \u2013 grec<\/a><\/li>
  6. Cauchy stress tensor \u2013 anglais<\/a><\/li><\/ol><\/div>\n
    \n

    \n \u5fdc\u529b\u30c6\u30f3\u30bd\u30eb – \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n
    \n \n
    \n
    \n