关于连续介质有限变形问题的几点讨论

本文讨论了三个问题:1.讨论了有限变形特征张量θii的物理意义,作为В.Д.Ъондарь一文[2]的补充.2.对W.Segawa一文[4]列出的四个有限变形特征张量进行了分析和补充讨论.3.一般的有限变形通过简单加载过程实现的可能性并不总是存在的,这就要看所给出的有限变形是否满足相容性方程.本文指出,Л.И.Седов[9]所举之例在k=1时也不满足相容性方程,Седов所给出的变形不管k等于什么值都不能通过简单加载来实现的.

Some Discussions on Finite Deformation of Continuous Media

Three problems are discussed in this paper: 1. The physical significance of the characteristic tensor of finite deformation is discussed as a complement to the literature[2]. 2. The four characteristic tensors of finite deformation, introduced in the litera ture[4], ard analyzed and discussed more thoroughly.3. The representation of the general finite deformation through simple loading process is not always possible, the condition for its realization being that the given finite deformation satisfies the equations of compatibility. It is pointed out in this paper that for the finite deformation set forth by L.I. Sedov in an illustrative example in [9], the equations of compatibility cannot be satisfied even for k=1, henceforth for whatever value of k, the finite deformation set forth by Sedov can not be represented through simple loading process.