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Liew, K. M.; Cheng, Yumin; Kitipornchai, S.

Boundary element-free method (BEFM) for two-dimensional elastodynamic analysis using Laplace transform. (English) Zbl 1122.74533

Int. J. Numer. Methods Eng. 64, No. 12, 1610-1627 (2005).
Summary: We present a direct meshless method of boundary integral equation (BIE), known as the boundary element-free method (BEFM), for two-dimensional (2D) elastodynamic problems that combines the BIE method for 2D elastodynamics in the Laplace-transformed domain and the improved moving least-squares (IMLS) approximation. The formulae for the BEFM for 2D elastodynamic problems are given, and the numerical procedures are also shown. The BEFM is a direct numerical method, in which the basic unknown quantities are the real solutions of the nodal variables, and the boundary conditions can be implemented directly and easily that leads to a greater computational precision. For the purpose of demonstration, some selected numerical examples are solved using the BEFM.

Cited in 42 Documents

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics

Keywords:

moving least-squares approximation; improved moving least-squares approximation; weighted orthogonal function; boundary integral equation; meshless/mesh-free method; boundary element-free method; elastodynamics
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\textit{K. M. Liew} et al., Int. J. Numer. Methods Eng. 64, No. 12, 1610--1627 (2005; Zbl 1122.74533)
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