A boundary element-free method (BEFM) for three-dimensional elasticity problems. (English) Zbl 1109.74372

Summary: 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.


74S30 Other numerical methods in solid mechanics (MSC2010)
74S15 Boundary element methods applied to problems in solid mechanics
74B05 Classical linear elasticity


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