HRR奇异解在非线性粘弹性情况下的推广  

THE GENERALIZATION OF HRR SINGULARITY SOLUTION IN VISCOELASTICITY MEDIUM

作　　者：张为民[1] 刘朝辉 

机构地区：[1]湘潭大学基础力学与材料工程研究所,湖南411105 [2]湖南轻工业高等专科学校,湖南410015

出　　处：《天津轻工业学院学报》2002年第3期22-25,共4页Journal of Tianjin University of Light Industry

基　　金：湖南省教育厅重点项目 (99A0 1 );(0 1 C0 83)

摘　　要：基于非线性粘弹性理论中的弹性回复对应原理 [1 ]和 HRR奇异解 [2 - 3 ] ,提出了求幂率型硬化非线性粘弹性材料裂纹问题在两类不同边界条件下的对应原理 ,并得到了幂率型硬化非线性粘弹性裂纹尖端应力、应变和位移场 。Based on the elasticity recovery correspondence principle in the theory of nonlinear viscoelasticity and the HRR singularity solution,the correspondence principle applied in two different boundary conditions in crack problem for a power-law hardening nonlinear viscoelasticity material are proposed.And the crack tip stress,strain and displacement fields for a power-law hardening nonlinear viscoelasticity material are proposed also.This validity of the solution is proved by the theory and calculation analyses for a power-law hardening nonlinear viscoelasticity material.

关 键 词：非线性粘弹性 弹性回复对应原理 HRR奇异解 裂纹尖端应力场 边界条件 

分 类 号：O345[理学—固体力学]