Abstract
In this paper, we present a direct meshless method of boundary integral equation (BIE), known as the boundary element-free method (BEFM), for two-dimensional (21) 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. Copyright © 2005 John Wiley & Sons, Ltd.
| Original language | English |
|---|---|
| Pages (from-to) | 1610-1627 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 64 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 28 Nov 2005 |
Research Keywords
- Boundary element-free method
- Boundary integral equation
- Elastodynamics
- Improved moving least-squares approximation
- Meshless/mesh-free method
- Moving least-squares approximation
- Weighted orthogonal function
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