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An interpolating boundary element-free method (IBEFM) for elasticity problems

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Abstract

The paper begins by discussing the interpolating moving least-squares (IMLS) method. Then the formulae of the IMLS method obtained by Lancaster are revised. On the basis of the boundary element-free method (BEFM), combining the boundary integral equation method with the IMLS method improved in this paper, the interpolating boundary element-free method (IBEFM) for two-dimensional elasticity problems is presented, and the corresponding formulae of the IBEFM for two-dimensional elasticity problems are obtained. In the IMLS method in this paper, the shape function satisfies the property of Kronecker δ function, and then in the IBEFM the boundary conditions can be applied directly and easily. The IBEFM is a direct meshless boundary integral equation method in which the basic unknown quantity is the real solution to the nodal variables. Thus it gives a greater computational precision. Numerical examples are presented to demonstrate the method.

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Correspondence to YuMin Cheng.

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Ren, H., Cheng, Y. & Zhang, W. An interpolating boundary element-free method (IBEFM) for elasticity problems. Sci. China Phys. Mech. Astron. 53, 758–766 (2010). https://doi.org/10.1007/s11433-010-0159-1

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  • DOI: https://doi.org/10.1007/s11433-010-0159-1

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