超弹性固体混合物的等效本构方程

Equivalence Constitutive Quations of Mixtures of Hyperelastic Solids

本文证明了超弹性固体混合物的本构等效均匀体也是超弹性固体,其等效比自由能等于各部分物体自由能的体积均值,用第一类 P-K 应力描写的等效比Gibbs 函数也等于各部分物体比 Gibbs 函数的体积均值.但用其他伪应力描写的等效比 Gibbs 函数具有较复杂的计算式,不等于其体积均值.

In this paper,it is proved that a body formed of mixtures of hyper- elastic solids is still a hyperelastic body,its equivalence free energy per unit mass will be equal to the mean value in the body,and its equivalence Gibbs function per unit mass must still be equal to the value in the body as it is described by the 1-st P-K stress.If other psuedo stresses are to be used,the function per unit mass will not be equal to the mean value.