Open Access

ARTICLE

Domain-Decomposition Singular Boundary Method for Stress Analysis in Multi-Layered Elastic Materials

Yan Gu¹, Wen Chen^1,2, Xiao-Qiao He³

1 College of Harbour, Coastal and Offshore Engineering, Hohai University, Nanjing 210098, PR China
2 Corresponding author. E-mail: chenwen@hhu.edu.cn
3 Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong

Computers, Materials & Continua 2012, 29(2), 129-154. https://doi.org/10.3970/cmc.2012.029.129

Abstract

This paper applies an improved singular boundary method (SBM) in conjunction with domain decomposition technique to stress analysis of layered elastic materials. For problems under consideration, the interface continuity conditions are approximated in the same manner as the boundary conditions. The multi-layered coating system is decomposed into multiple subdomains in terms of each layer, in which the solution is approximated separately by the SBM representation. The singular boundary method is a recent meshless boundary collocation method, in which the origin intensity factor plays a key role for its accuracy and efficiency. This study also introduces new strong-form regularization formulas to accurately evaluate the origin intensity factors for elasticity problem. Consequently, we dramatically improve the accuracy and convergence of SBM solution of the elastostatics problems. The proposed domain-decomposition SBM is tested on two benchmark problems. Based on numerical results, we discuss merits of the present SBM scheme over the other boundary discretization methods, such as the method of fundamental solution (MFS) and the boundary element method (BEM).

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Keywords

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