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XFEM for Fracture Analysis in 2D Anisotropic Elasticity

Part of: Partial differential equations, initial value and time-dependent initial-boundary value problems Generalities, axiomatics, foundations of continuum mechanics of solids

Published online by Cambridge University Press:  11 October 2016

Honggang Jia ,
Yufeng Nie  and
Junlin Li
Honggang Jia
Affiliation:
School of Mathematics and Statistics, Xuchang University, Xuchang, Henan 461000, China Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an, Shaanxi 710129, China
Yufeng Nie*
Affiliation:
Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an, Shaanxi 710129, China
Junlin Li
Affiliation:
School of Applied Science, Taiyuan University of Science and Technology, Taiyuan, Shanxi 030024, China
*
*Corresponding author. Email:yfnie@nwpu.edu.cn (Y. F. Nie)
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Abstract

In this paper, a method is proposed for extracting fracture parameters in anisotropic thermoelasticity cracking via interaction integral method within the framework of extended finite element method (XFEM). The proposed method is applied to linear thermoelastic crack problems. The numerical results of the stress intensity factors (SIFs) are presented and compared with those reported in related references. The good agreement of the results obtained by the developed method with those obtained by other numerical solutions proves the applicability of the proposed approach and confirms its capability of efficiently extracting thermoelasticity fracture parameters in anisotropic materials.

Keywords

Anisotropic materialsthermoelasticitycrackXFEMstress intensity factors

MSC classification

Secondary: 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods 74A45: Theories of fracture and damage
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 1 , February 2017 , pp. 125 - 143
Copyright
Copyright © Global-Science Press 2017 

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