塑性力学变形理论的相似非耦联变分原理和广义变分原理 |
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摘 要: | 引入了相似非耦联方程的概念,应用加权余量法建立了塑性力学变形理论的相似非耦联势能原理和余能原理.应用拉氏乘子法于该势能原理和余能原理,建立了广义相似非耦联势能原理和余能原理.并应用该余能原理于相似非耦联的三角形桁架的计算.
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关 键 词: | 塑性力学 变形理论 相似非耦联变分原理 |
Similary No-coupled Variational Principles and Generalized Variational Principles for the Deformation Theory in Plasticity |
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Authors: | Fu Baolian |
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Institution: | Fu Baolian Department of Civil Engineering and Mechanics |
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Abstract: | The conception of similary no-coupled equations is first introduced in this paper, and similary no-coupled potential energy principle and complementary energy principle for the deformation theory in plasticity are established by applying weighted residual method to the similary no-coupled equations. In use lagrange's multiplier method on the petential energy and complementary energy principles, generalized similary no-coupled potential energy principle and complementary energy principle are set up. These variational principles have laid theoretical foundations for the transformations of displacement, strain and stress fields between plastic and elastoplastic similary no-coupled models and prototypes. |
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Keywords: | plasticity deformation theory similary no-coapled variational prionciple |
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