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A BEM for transient thermoelastic fracture analysis of FGMs
Author(s) -
Ekhlakov Alexander,
Khay Oksana,
Zhang Chuanzeng,
Gao XiaoWei
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110063
Subject(s) - thermoelastic damping , laplace transform , boundary element method , isotropy , discretization , linear elasticity , mathematical analysis , stress intensity factor , collocation method , boundary value problem , cartesian coordinate system , finite element method , mathematics , mechanics , materials science , physics , geometry , thermal , ordinary differential equation , differential equation , thermodynamics , quantum mechanics
A boundary element method for the transient thermoelastic fracture analysis in isotropic, continuously non‐homogeneous and linear elastic functionally graded materials subjected to a thermal shock is presented. The material parameters are assumed to be continuous functions of the Cartesian coordinates. Laplace‐domain fundamental solutions of linear coupled thermoelasticity for infinite, isotropic, homogeneous and linear elastic solids are applied to derive the boundary‐domain integral equation formulation. The numerical implementation is performed by using a collocation method for the spatial discretization. Numerical results for the dynamic stress intensity factors are presented and discussed. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)