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Efficient BEM Stress Analysis of 3D Generally Anisotropic Elastic Solids With Stress Concentrations and Cracks

Y.C. Shiah1, C.L. Tan2, Y.H. Chen3
Corresponding author, Dept. of Aeronautics and Astronautics, National Cheng Kung University, Tainan 701, Taiwan, R.O.C.
Dept. of Mechanical & Aerospace Engineering, Carleton University, Ottawa, Canada K1S 5B6
Dept. of Computer Science & Information Management, Providence University, Taichung, Taiwan, R.O.C.

Computer Modeling in Engineering & Sciences 2013, 96(4), 243-257. https://doi.org/10.3970/cmes.2013.096.243

Abstract

The present authors have recently proposed an efficient, alternative approach to numerically evaluate the fundamental solution and its derivatives for 3D general anisotropic elasticity. It is based on a double Fourier series representation of the exact, explicit form of the Green’s function derived by Ting and Lee (1997). This paper reports on the successful implementation of the fundamental solution and its derivatives based on this Fourier series scheme in the boundary element method (BEM) for 3D general anisotropic elastostatics. Some numerical examples of stress concentration problems and a crack problem are presented to demonstrate the veracity of the implementation. The results of the BEM analysis of these problems show excellent agreement with those obtained using the commercial finite element code ANSYS and with known analytical solutions in all cases.

Keywords

Anisotropic elasticity, Green’s function, Fourier series, stress concentrations, fracture mechanics.

Cite This Article

Shiah, Y., Tan, C., Chen, Y. (2013). Efficient BEM Stress Analysis of 3D Generally Anisotropic Elastic Solids With Stress Concentrations and Cracks. CMES-Computer Modeling in Engineering & Sciences, 96(4), 243–257.



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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