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A BEM for transient thermoelastic analysis of a functionally graded layer on a homogeneous substrate under thermal shock
Author(s) -
Ekhlakov Alexander,
Khay Oksana,
Zhang Chuanzeng
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210078
Subject(s) - thermoelastic damping , laplace transform , boundary element method , thermal shock , isotropy , piecewise linear function , mathematical analysis , functionally graded material , materials science , boundary (topology) , boundary value problem , transient (computer programming) , mechanics , mathematics , finite element method , material properties , thermal , physics , composite material , computer science , thermodynamics , optics , operating system
Transient thermoelastic analysis of isotropic and linear thermoelastic bimaterials, which are constituted by a functionally graded (FG) layer attached to a homogeneous substrate, subjected to thermal shock is presented in this paper. For this purpose, a boundary element method for transient linear coupled thermoelasticity is developed. The material properties of the FG layer are assumed to be continuous functions of the spatial coordinates. The boundary‐domain integral equations are derived by using the fundamental solutions of linear coupled thermoelasticity for the corresponding isotropic, homogeneous and linear thermoelastic solids in the Laplace‐transformed domain. For the numerical solution, a collocation method with piecewise quadratic approximation is implemented. Numerical results for the dynamic stress intensity factors are presented and discussed. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)