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ARTICLE

Fracture Analysis for Two-dimensional Plane Problems of Nonhomogeneous Magneto-electro-thermo-elastic Plates Subjected to Thermal Shock by Using the Meshless Local Petrov-Galerkin Method

by W. J. Feng¹, X. Han², Y.S. Li³

1 Department of Engineering Mechanics, Shijiazhuang Railway Institute, Shijiazhuang 050043, P.R.China. Correspondence author. E-mail address: wjfeng999@yahoo.com (W.J. Feng)
2 State Key Lab Adv Design & Manufacture Vehicle Bo, Hunan University, Changsha 410082, P.R.China
3 Institute of Engineering Mechanics, Northeastern University, Shenyang 110004, P.R. China

Computer Modeling in Engineering & Sciences 2009, 48(1), 1-26. https://doi.org/10.3970/cmes.2009.048.001

Abstract

The two-dimensional (2D) fracture problem of nonhomogeneous mag -neto-electro-thermo-elastic materials under dynamically thermal loading is investigated by the meshless local Petrov-Galerkin (MLPG) method. The material parameters are assumed to vary in either the height or width direction of the plates. The Laplace-transform technique is utilized to solve the time-dependent problems. In this MLPG analysis, the moving least squares (MLS) method is adopted to approximate the physical quantities, and the Heaviside step function is taken as a test function. The validity and efficiency of the MLPG method are firstly examined. The crack problem of a nonhomogeneous magneto-electro-thermo-elastic plate is then considered. The field intensity factors (FIFs) including the stress intensity factor (SIF), electric displacement intensity factor (EDIF), magnetic induction intensity factor (MIIF) and mechanical mode-I strain energy release rate (MSERR) of the magneto-electro-thermo-elastic materials are computed. The effects of the nonhomogeneous parameters especially the thermal nonhomogeneous parameters on the fracture behavior of crack tips are emphatically evaluated and discussed according the energy release rate criterion. The results seem useful for the design of nonhomogeneous material worked in high or low temperature environments.

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Keywords

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