| 论非线性弹性理论的各种变分原理 |
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| 引用本文： | 戴天民.论非线性弹性理论的各种变分原理[J].应用数学和力学,1982,3(5):585-596. |
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| 作者姓名： | 戴天民 |
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| 作者单位： | 西南交通大学和辽宁大学 |
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| 摘 要： | 本文从“全能量原理”出发推导出非线性弹性理论中各种可能的主要的变分原理的泛函,其中有几个是在我们所能见到的文献中还没有的.通过本文的推导过程,我们提出了胡海昌的专著1]中表6.1的第11类和第6类变分原理不存在的猜想.
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| 收稿时间： | 1982-01-05 |
On Various Variationai Principles in Nonlinear Theory of Elasticity |
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| Institution: | Southwestern Jiaotong University and Liaoning University |
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| Abstract: | In the present paper functionals for the various possible main variational principles in the nonlinear theory of e-lasticity are derived from the "full energy principle" and several of them are not found yet in the literatures available. Through the derivation of this paper we suggest a conjecture on the nonexistence of the eleventh and the sixth classes for the variational principles in Table 6.1 of H.C. Hu's monograph 1]. |
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