Boundary moving least squares method for 3D elasticity problems. (December 2020)

• Record Type: Journal Article
• Authors: Huang, Zhentian; Lei, Dong; Han, Zi; Lin, Ji
• Is Part Of: Engineering analysis with boundary elements. Volume 121(2020)
• Page Start: 255
• Page End: 266
• Publication Date: 2020-12
• Subjects: Boundary moving least squares method -- Moving least squares approximation -- 3D elasticity problems -- Virtual boundary -- Kronecker product -- Boundary discrete point; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2020.10.010
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: This paper presents a boundary moving least squares method (BMLS) for solving 3D linear elasticity problems. In the proposed method, moving least squares interpolant is used to construct the 1D shape function employing the boundary discrete points in each axis. Then, the Kronecker product is introduced to generate the tensor product points in the regular region coving the problem domain, which simply the 3D shape function of the conventional meshless method into 1D shape function for raising the efficiency of calculation in the BMLS. In addition, building a virtual boundary is employed to solve irregular domain problems. Numerical results show that the BMLS method gives accurate solutions and desirable convergence rates when comparing with the analytical solutions and the finite element method (FEM) solutions. Furthermore, the choices of the basis function and the weight functions are also discussed in this work.