| 有限变形非线性的变形能原理及功的互等定理与变分原理的关系 |
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| 引用本文： | 付宝连.有限变形非线性的变形能原理及功的互等定理与变分原理的关系[J].燕山大学学报,2002,26(1):4-6,19. |
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| 作者姓名： | 付宝连 |
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| 作者单位： | 燕山大学建筑工程与力学学院,秦皇岛,066004 |
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| 摘 要： | 首先导出了直角坐标系有限变形非线性弹力力学的变形能原理，然后应用有限变形的功的互等定理分别导出了有限变形的热能泛函和余能泛函，从而证明了上述两原理的正确性，并建立了它与变分原理的联系。
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| 关 键 词： | 有限变形 变形能原理 功 互等定理 热能原理 余能 变分原理 非线性 |
Relations between Deformation Energy Theorem and Reciprocal Theorem and Variational Principles in Non-Linear Elasticity with Finite Displacements |
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| Fu Baolian.Relations between Deformation Energy Theorem and Reciprocal Theorem and Variational Principles in Non-Linear Elasticity with Finite Displacements[J].Journal of Yanshan University,2002,26(1):4-6,19. |
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| Authors: | Fu Baolian |
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| Abstract: | Deformation energy theorem for non-linear elasticity with finite displacements in rectamgular cartesain coordinates is first der ived in this paper,and then the functionals of potentional energy and complementary energy with finite displacements are denived from the re ciprocal theosrem with finife dispacements,respectively.In this way,th e above mentioned two theorems are proved to be correct and the relati ons between them and variational principles are given. |
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| Keywords: | finite displacernent deformation energy theorem reciproc al theorem potential energy principle complementary energy principle |
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