Abstract
The boundary element method (BEM) which is used to solve the elastic problems has more advantages than other numerical methods. Especially, it can resolve rapidly varying internal stress and strain fields more accurately. However, it is often fails in the region near the boundary because of the singularity of the solutions.
Though we can increase the boundary meshes more and more, the solutions of stress on the boundary can't be given directly; which has obstructed the applications of the BEM to some extent.
In this paper we proposed the boudary expanding-contracting principle and the boundary expanding-contracting method (BECM) based on the principle. With this method, not only the solutions in the region near or on the boundary can be obtained directly, but the iterative processes can also be used conveniently to improve the accuracy of the solutions.
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References
Brebbia, C.A. and S. Walker,Boundary Techniques in Engineering, Newnes-Butterwoth, London (1980).
Chien Wei-zang and Yeh Kai-yuan,Elastic Mechanics, Beijing (1956). (in Chinese)
Mikhlin, S.C.,Integral Equation and Application, Beijing (1955). (Chinese version)
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Communicated by Hsueh Dah-wei
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Shun-cheng, S. The boundary expanding-contracting method. Appl Math Mech 10, 969–977 (1989). https://doi.org/10.1007/BF02017522
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DOI: https://doi.org/10.1007/BF02017522