| 用对应变能函数求导法求弹性材料应力张量的一般形式 |
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| 引用本文： | 陈维毅. 用对应变能函数求导法求弹性材料应力张量的一般形式[J]. 太原理工大学学报, 1997, 0(4) |
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| 作者姓名： | 陈维毅 |
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| 摘 要： | 用对张量函数求导的方法导出了横观各向同性材料和各向同性材料的应力应变关系式的一般形式。从推导过程可以更清楚地看出为什么横观各向同性材料和各向同性材料的应力应变关系中分别有５个和２个独立的弹性常数，材料有几个独立的弹性常数是由其应变能函数的形式所决定的。
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| 关 键 词： | 横观各向同性材料；张量导数；应变能；弹性 |
Derivation of the General form of Stress Tensor of the Elastic Material by Derivative of Strain Energy |
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| Chen Weiyi. Derivation of the General form of Stress Tensor of the Elastic Material by Derivative of Strain Energy[J]. Journal of Taiyuan University of Technology, 1997, 0(4) |
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| Authors: | Chen Weiyi |
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| Abstract: | In the paper,the relation between stress and strain of transverse isotropic material and isotropic material is deduced.From the derivation,why there are two independent elasticity coefficients for isotropic elastic material and five for transverse isotropic elastic material can be seen more clearly. |
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| Keywords: | transverse isotropic material tensor derivate strain energy elasticity |
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