The Analysis of a Cracked Material under Combined Unsymmetric Thermal Flux and Symmetric Linear Mechanical Loading

Author:

Wu B.1ORCID,Huang Q. A.2,Peng D.3,Yang X. Y.4,Feng Z.1

Affiliation:

1. College of Civil Engineering and Architecture, Hebei University, Baoding 071002, Hebei, China

2. South China Research Center for Applied Mathematics and Interdisciplinary Studies, South China Normal University, Guangzhou 510631, China

3. Department of Mechanical, Aerospace and Mechatronics Engineering, Monash University, Clayton, Victoria 3800, Australia

4. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

Abstract

An improved partially permeable crack model is put forward to deal with the problem of a single crack embedded in an orthotropic or isotropic material under combined unsymmetric thermal flux and symmetric linear mechanical loading. With the application of the Fourier transform technique (FTT), the thermoelastic field is given in a closed form. Numerical results show combined unsymmetric linear thermal flux, symmetric linear mechanical loading, and dimensionless thermal conductivity, and the coefficient has influences on fracture parameters. For the improved partially permeable crack, the mode II stress intensity factor and the energy release rate might be zero or positive under combined unsymmetric thermal flux and symmetric linear mechanical loading. Therefore, closure of the crack tip region need not be considered under combined unsymmetric thermal flux and symmetric linear mechanical loading when making use of fracture parameters as a criterion.

Funder

Hebei University Scientific Research Foundation

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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