Influence of finite deformations on the growth mechanism of microvoids contained in structural metals

Abstract

In this paper an analysis of the growth mechanism of the single microvoid for finite deformations is presented. A hollow sphere model is assumed. Such a model has been considered in many previous papers, however on the assumption that the strains remain small. The material surrounding the microvoid is assumed to be work-hardening, viscoplastic, described by the constitutive equations formulated by Perzyna [1]. Quantitative and qualitative distinctions between the presented solution and geometrically linear solution are discussed. On the basis of the obtained solution, constitutive functions of a certain damage evolution equation for the complex stress state have been identified. A numerical example of the fracture analysis for a structural element is presented.