摘要
本文提出了一个与热力学基本定律相容的、严密的非线性断裂力学理论.本文指出.采用一个适于物体中有一条扩展裂纹的广义雷诺输运方程.各局部平衡方程均可从假设的整体平衡方程推出.本文还给出了新断裂表面上所应满足的必要条件.在局部理论范围内本文提出的基本方程组可应用于几何及物理非线性问题,可应用于具有内变量及衰退记忆的材料.作为一个特殊情况,还给出了无穷小热粘弹性断裂力学的基本方程组。
A rigorous theory of non-linear fracture mechanics consistent with the basiclaws of thermodynamics is proposed.It is shown that the local balance equation(s) can bederived from the postulated global balance equation using a generalized Reynolds transportequation appropriate to a body containing a growing crack. The necessary conditions to befulfilled on the newly created fracture surfaces are derived. Within the framework of localtheory the governing equations are applicable to crack problems in materials with internalvariables or fading memory and to geometrically and/or physically non-linear problems.Asa special case,the governing equations for infinitesimal thermoviscoelastic fracture mechanics are given.
出处
《湘潭大学自然科学学报》
CAS
CSCD
1992年第3期148-159,共12页
Natural Science Journal of Xiangtan University
关键词
粘弹性
断裂力学
非平衡态
热力学
Viscoelasticity
Fracture Mechanics
Thermodynamics of Non-equilibrium state
