Open Access

ARTICLE

Transient coupled thermoelastic crack analysis in functionally graded materials¹

A.V. Ekhlakov², O.M. Khay², Ch. Zhang², J. Sladek³, V. Sladek³

1 In memory of Prof. Dr.-Ing. F.-G. Buchholz
2 Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany
3 Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia

Structural Durability & Health Monitoring 2010, 6(3&4), 329-350. https://doi.org/10.3970/sdhm.2010.006.329

Abstract

In this paper, transient crack analysis in two-dimensional, isotropic, continuously non-homo -ge -neous and linear elastic functionally graded materials is presented. A boundary-domain element method based on boundary-domain integral representations is developed. The Laplace-transform technique is utilized to eliminate the dependence on time. Laplace-transformed fundamental solutions of linear coupled thermoelasticity for isotropic, homogeneous and linear elastic solids are applied to derive boundary-domain integral equations. The numerical implementation is performed by using a collocation method for the spatial discretization. The time-dependent numerical solutions are obtained by the Stehfest's inversion algorithm. For an edge crack in a finite domain under thermal shock, the dynamic stress intensity factors are presented and discussed.

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Keywords

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