Theory and Calculation of the J-Integral for Coupled Chemo-Mechanical Fracture Mechanics

• 作者: Kim-Meow Liew Qingsheng Yang Wei Wei Xia Liu Xiaoqiao He
• 来源期刊: 工程与科学中的计算机建模(英文)
• 学科: 物理学
• 关键词: Chemo-mechanical coupling fracture J-INTEGRAL EQUIVALENT domain integral(EDI)method finite element METHOD
• 年，卷（期）: 2018,（6）
• 页码范围: 387-409
• 页数: 23页
• 分类号: O34

摘要

In this paper,by introducing a chemical field,the J-integral formulation is presented for the chemo-mechanical coupled medium based on the laws of thermodynamics.A finite element implementation of the J-integral was performed to study the mode I chemo-mechanical coupled fracture problem.For derivation of the coupled J-integral,the equivalent domain integral(EDI)method was applied to obtain the mode I J-integral,with expression of the area integrals based on constitutive relationships of a linear elastic small deformation for chemo-mechanical coupling,instead of the finite deformation problem.A finite element procedure is developed to compute the mode I J-integral,and numerical simulation of the y-direction stress field is studied by a subroutine UEL(User defined element)developed in ABAQUS software.Accuracy of the numerical results obtained using the mode I J-integral was verified by comparing them to a well-established model based on linear elastic fracture mechanics(LEFM).Furthermore,a numerical example was presented to illustrate path-independence of the formulated J-integral for a chemo-mechanical coupled specimen under different boundary conditions,showing a high accuracy and reliability of the present method.The variation laws of J-integral and the y-direction stress field with external chemical,mechanical loading and time are revealed.The J-integral value increases with larger external concentration loading in the same integral domain.The extent of diffusion is much greater with larger concentration,which leads to a stronger coupling effect due to the chemical field.This work provides new insights into the fracture mechanics for the chemo-mechanical coupled medium.