| 大位移非线性弹性理论的广义变分原理 |
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| 引用本文： | 何吉欢. 大位移非线性弹性理论的广义变分原理[J]. 中国矿业大学学报, 1999, 28(2): 136-138,148 |
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| 作者姓名： | 何吉欢 |
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| 作者单位： | 上海大学应用数学与力学研究所,上海,200072 |
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| 基金项目： | 上海市高等学校青年教师科学基金 |
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| 摘 要： | 应用半反推法（凑合反推法）推导了大位移非线性弹性理论中的二类及三类独立变量的广义变分原理，由于半反推法不用拉氏乘子，所以可以避免由于拉氏乘子引起的临界变分现象，结果证明Ｈｕ－Ｗａｓｈｉｚｕ为分原理只是二类独立变量的变发原理。
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| 关 键 词： | 弹性理论 广义变分原理 非线性弹性理论 大位移 |
Family of Generalized Variational Principles for Nonlinear Elasticity with Finite Displacement |
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| He Jihuan. Family of Generalized Variational Principles for Nonlinear Elasticity with Finite Displacement[J]. Journal of China University of Mining & Technology, 1999, 28(2): 136-138,148 |
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| Authors: | He Jihuan |
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| Abstract: | In this paper, via the semi inverse method proposed by the present author, a family of generalized variational principles for nonlinear elasticity with finite displacement have been successfully deduced directly from the governing equations and boundary conditions. Without using the Lagrange multipliers, the novel method can eliminate the variational crisis (some lagrange multipliers vanish during the variation) completely. The paper also indicates the equivalent theorem of Hellinger Reissner and Hu Washizu principles. |
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| Keywords: | nonlinear elasticity generalized variational principles Hu Washizu principle semi inverse method trial functinal |
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