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A boundary element-free method (BEFM) for three-dimensional elasticity problems

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Abstract

This study combines the boundary integral equation (BIE) method and improved moving least-squares (IMLS) approximation to present a direct meshless boundary integral equation method, the boundary element-free method (BEFM) for three-dimensional elasticity. Based on the improved moving least-squares approximation and the boundary integral equation for three-dimensional elasticity, the formulae of the boundary element-free method are given, and the numerical procedure is also shown. Unlike other meshless boundary integral equation methods, the BEFM is a direct numerical method in which the basic unknown quantity is the real solution of the nodal variables, and the boundary conditions can be applied directly and easily, thus giving it a greater computational precision. Three selected numerical examples are presented to demonstrate the method.

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Authors and Affiliations

  1. Department of Building and Construction, City University of Hong Kong, Kowloon, Hong Kong

    S. Kitipornchai

  2. Nanyang Center for Supercomputing and Visualization, Nanyang Technological University, Nanyang Avenue, 639798, Singapore

    K. M. Liew

  3. School of Mechanical and Production Engineering, Nanyang Technological University, Nanyang Avenue, 639798, Singapore

    K. M. Liew

  4. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, P.R.China

    Y. Cheng

Authors
  1. S. Kitipornchai
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  2. K. M. Liew
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  3. Y. Cheng
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Aknowledgement The work in this project was fully supported by a grant from the Research Grants Council (RGC) of the Hong Kong Special Administrative Region, China (Project No. CityU 1011/02E).

The work that is described in this paper was supported by Project No. CityU 1011/02E, which was awarded by the Research Grants Council of the Hong Kong Special Administrative Region, China. The authors are grateful for the financial support.

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Kitipornchai, S., Liew, K. & Cheng, Y. A boundary element-free method (BEFM) for three-dimensional elasticity problems. Comput Mech 36, 13–20 (2005). https://doi.org/10.1007/s00466-004-0638-1

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  • DOI: https://doi.org/10.1007/s00466-004-0638-1

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