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。
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.
关键词
张量导数
应力张量
应变能函数
弹性材料
transverse isotropic material
tensor derivate
strain energy
elasticity
