Table of Content

Open Access

ARTICLE

Stress Analysis of 3D Generally Anisotropic Elastic Solids Using the Boundary Element Method

C. L. Tan1, Y.C. Shiah2, C.W. Lin2
Dept. of Mechanical and Aerospace Engineering, Carleton University, Ottawa, Canada K1S 5B6
Dept. of Aerospace and Systems Engineering, Feng Chia University, Taichung, Taiwan, R.O.C.

Computer Modeling in Engineering & Sciences 2009, 41(3), 195-214. https://doi.org/10.3970/cmes.2009.041.195

Abstract

The explicit, closed-form expressions of the Green's functions for generally anisotropic elastic solids in three-dimensions that have been derived using Stroh's formalism are employed in a formulation of the boundary element method (BEM). Unlike several other existing schemes, the evaluation of these fundamental solutions does not require further numerical integration in the BEM algorithm; they have surprisingly not been implemented previously. Three numerical examples are presented to demonstrate the veracity of the implementation and the general applicability of the BEM for the 3D elastic stress analysis of generally anisotropic solids. The results are compared with known solutions in the literature where possible, or those obtained by another numerical method, namely, the finite element method; in all cases, very good agreement is shown to be achieved.

Keywords

Fundamental solutions, Green's functions, anisotropic elasticity, Stroh's eigenvalues, boundary integral equations, boundary element method.

Cite This Article

Tan, C. L., Shiah, Y., Lin, C. (2009). Stress Analysis of 3D Generally Anisotropic Elastic Solids Using the Boundary Element Method. CMES-Computer Modeling in Engineering & Sciences, 41(3), 195–214.



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.
  • 866

    View

  • 717

    Download

  • 0

    Like

Share Link

WeChat scan