Table of Content

Open Access iconOpen Access


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

Wei Wei1, Qingsheng Yang2,*, Xia Liu2, Xiaoqiao He3,*, Kim-Meow Liew3

School of Civil Engineering, Hebei University of Engineering, Handan 056038, China.
Department of Engineering Mechanics, Beijing University of Technology, Beijing 100124, China.
Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

* Corresponding Author: Qingsheng Yang. Email: email; Xiaoqiao He. Email: email.

Computer Modeling in Engineering & Sciences 2018, 115(3), 387-409.


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.


Cite This Article

APA Style
Wei, W., Yang, Q., Liu, X., He, X., Liew, K. (2018). Theory and calculation of the j-integral for coupled chemo-mechanical fracture mechanics. Computer Modeling in Engineering & Sciences, 115(3), 387-409.
Vancouver Style
Wei W, Yang Q, Liu X, He X, Liew K. Theory and calculation of the j-integral for coupled chemo-mechanical fracture mechanics. Comput Model Eng Sci. 2018;115(3):387-409
IEEE Style
W. Wei, Q. Yang, X. Liu, X. He, and K. Liew "Theory and Calculation of the J-Integral for Coupled Chemo-Mechanical Fracture Mechanics," Comput. Model. Eng. Sci., vol. 115, no. 3, pp. 387-409. 2018.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 1742


  • 1065


  • 0


Share Link