ICF13A

13th International Conference on Fracture June 16–21, 2013, Beijing, China -10- 5. Summary A BEM for 2-D transient coupled thermoelastic crack analysis in FG/homogeneous bimaterials under thermal shock is presented in this paper. The sub-domain technique is applied to model the FG/homogeneous bimaterials. Fundamental solutions of linear coupled thermoelasticity for homogeneous, isotropic and linear thermoelastic solids are used to derive the boundary-domain integral equations. The material non-homogeneity of the FG layer is described by domain integrals, which are evaluated by using the RIM. A collocation-based BEM is developed in the Laplace-transformed domain. The numerical inversion of the Laplace-transform is performed by Stehfest’s algorithm. The dynamic SIFs are evaluated by using displacement extrapolation technique. The temporal variations of the dynamic SIFs for an edge crack in a 2-D FG/homogeneous bimaterial plate are presented. The effects of the material gradation, the FG coating thickness and the thermo-mechanical coupling on the dynamic SIFs are analyzed. Acknowledgement This work is supported by the German Research Foundation (DFG, Project-No.: ZH 15/10-2), which is gratefully acknowledged. References [1] S. Suresh and A. Mortensen, Fundamentals of functionally graded materials: Processing and thermomechanical behaviour of graded metals and metal-ceramic composites. IOM Communications Ltd, London, 1998. [2] L. C. Wrobel and M. H. Aliabadi, The boundary element method. J. Wiley, Chichester, New York, 2002. [3] X. W. Gao, The radial integration method for evaluation of domain integrals with boundary-only discretization. Eng Anal Boundary Elem, 26 (2002) 905-916. [4] X. W. Gao, A boundary element method without internal cells for two-dimensional and three-dimensional elastoplastic problems. J Appl Mech, 69 (2002) 154-160. [5] H. Stehfest, Numerical Inversion of Laplace Transforms. Commun ACM, 13 (1970) 47-49. [6] J. Balaš, J. Sládek and V. Sládek, Stress analysis by boundary element methods. Elsevier, Amsterdam, New York, 1989. [7] J. Sladek, V. Sladek, C. Zhang and C. L. Tan, Meshless local Petrov-Galerkin method for linear coupled thermoelastic analysis. Comp Model Eng Sci, 16 (2006) 57-68. [8] A. Ekhlakov, O. Khay, C. Zhang, J. Sladek, V. Sladek and X. W. Gao, Thermoelastic crack analysis in functionally graded materials and structures by a BEM. Fatigue & Fract of Eng Mater & Struct, 35 (2012) 742-766. [9] A. V. Ekhlakov, O. M. Khay, C. Zhang, J. Sladek and V. Sladek, A BDEM for transient thermoelastic crack problems in functionally graded materials under thermal shock. Comput Mater Sci, 57 (2012) 30-37. [10] J. Sladek, V. Sladek and C. Z. Zhang, An advanced numerical method for computing elastodynamic fracture parameters in functionally graded materials. Comput Mater Sci, 32 (2005) 532-543. [11] A. V. Ekhlakov, O. M. Khay, C. Zhang, J. Sladek and V. Sladek, Transient coupled thermoelastic crack analysis in functionally graded materials. Struct Durab Health Monitor, 6 (2010) 329-350.

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