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弹性张量的一般形式与应力＿应变关系式·从推导过程可更清楚地看出为什么横观各向同性材料和各向同性材料分别有五个和两个独立的弹性常数，即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·
In the paper the elasticity tensor and the relation between stress and strain of transverse isotropic material and isotropic material are deduced by tensor derivate. From the derivation the reason why there are two independent elasticity coefficients for isotropic elastic material and five for transverse isotropic elastic material can be seen more clearly.
出处
《应用数学和力学》
EI
CSCD
北大核心
1999年第3期295-300,共6页
Applied Mathematics and Mechanics
关键词
各向异性材料
应变能
张量导数法
弹性张量
tensor
transverse isotropic material
strain energy
elasticity
tensor derivate
