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A comparative study of three domain-integral evaluation techniques in the boundary-domain integral equation method for transient thermoelastic crack analysis in FGMs

A.V. Ekhlakov1,2, O.M. Khay1,3, Ch. Zhang1, X.W. Gao4, J. Sladek5, V. Sladek5
Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany.
Faculty of Architecture and Civil Engineering, University of Applied Sciences, Kurt-SchumacherRing 18, D-65197 Wiesbaden, Germany.
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NASU, 3b Naukova Str., 79060 Lviv, Ukraine.
Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, 116024 Dalian, PR China.
Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia.

Computer Modeling in Engineering & Sciences 2013, 92(6), 595-614. https://doi.org/10.3970/cmes.2013.092.595

Abstract

A boundary-domain integral equation method is applied to the transient thermoelastic crack analysis in functionally graded materials. Fundamental solutions for homogeneous, isotropic and linear elastic materials are used to derive the boundary-domain integral equations. The radial integration method, the Cartesian transformation method and the cell-integration method are applied for the evaluation of the arising domain-integrals. Numerical results for dynamic stress intensity factors obtained by the three approaches are presented, compared and discussed to show the accuracy and the efficiency of the domain-integral evaluation techniques.

Keywords

Radial integration method, Cartesian transformation method, cellintegration method, dynamic stress intensity factors, functionally graded materials.

Cite This Article

Ekhlakov, A., Khay, O., Zhang, C., Gao, X., Sladek, J. et al. (2013). A comparative study of three domain-integral evaluation techniques in the boundary-domain integral equation method for transient thermoelastic crack analysis in FGMs. CMES-Computer Modeling in Engineering & Sciences, 92(6), 595–614.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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