| 拉格朗日几何非线性混合应变元 |
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| 引用本文： | 李锡夔. 拉格朗日几何非线性混合应变元[J]. 力学季刊, 1994, 15(3): 8-15 |
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| 作者姓名： | 李锡夔 |
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| 作者单位： | 大连理工大学 |
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| 摘 要： | 本文应用由Ｓｉｍｏ和Ｒｉｆａｉ建议的混合假定附加应变途径，采用第二Ｐｉｏｌａ－Ｋｉｒｃｈｈｏｆｆ应力张量和Ｇｒｅｅｎ－Ｌａｇｒａｎｇｅ应变张量作能量共轭的应力应变度量，导出了Ｌａｇｒａｎｇｅ几何非线性下的胡海昌－Ｗａｓｈｉｚｕ三变量变分原理的Ｇａｌｅｒｋｉｎ形式以及相应的混合假定应变元公式。
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| 关 键 词： | 应变元 几何 非线性 拉格朗日方程 |
MIXED STRAIN ELEMENTS IN LAGRANGIAN GEOMETRICAL NONLINEARITY |
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| Li Xikui. MIXED STRAIN ELEMENTS IN LAGRANGIAN GEOMETRICAL NONLINEARITY[J]. Chinese Quarterly Mechanics, 1994, 15(3): 8-15 |
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| Authors: | Li Xikui |
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| Affiliation: | Dalian University of Technology |
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| Abstract: | With the use of the second Piola-Kirchhoff stress tensor and the Green-Lagrange strain tensor as energy conj ugate stress-strain measures, the mixed assumed enhanced strain approach proposed by Simo and Rifai is employed to derive the Hu-Washizu three field variational principle in Galerkin form with Lagrangian geometrical nonlinearity and corresponding formulations of the mixed assumed strain element. |
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| Keywords: | Mixed strain elements Geometric nonlinearity. |
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