金属大应变非局部非弹性损伤本构关系的探讨

The Theoretical Analysis of Nonlocal Inelastic Damage Constitutive Relation on the Large Strain in Metal

以Ｐｒａｎｄｔｌ－Ｒｅｕｓｓ小变形塑性流动理论和Ｃｕｒｓｏｎ塑性理论为基础，引入塑性体积模量和空穴体积率作为内变量，利用非局部理论、弹塑性有限变形理论和空穴形核理论推导了金属大应变的非局部非弹性损伤本构关系。

In this paper,on the basis of PrandtlReuss’s plastic flow theory small deformation and Gurson’s plastic theory,the plastic column model and nonlocal damage are taken as internal variables,and by making use of elastic-plastic limited deformation theory and void theory,the nonlocal inelastic damage constitutive relation is deduced on the large strain in metal.The theoretical analysis with the constitutive relation is done from the angle of macro-mesoscopic.