三维径向点插值无网格法及其在流固耦合中的应用

Abstract

Abstract: The radial point interpolation method (RPIM) is a new-style meshfree method. As its shape functions have the Kronecker delta functions property, essential boundary conditions can be enforced as easily as in the finite element method. The basic principle of RPIM is introduced; and the basic formulas of RPIM are derived. Based on the variational principle and Biot’s consolidation theory, the basic equations and numerical integration method of RPIM are proposed; and the corresponding calculation program is developed. Numerical examples of 3D cantilever beam and 1D consolidation problem are given to verify the validity and availability of the RPIM to the 3D elastic problem and consolidation problem

Key words: meshfree method, point interpolation, radial basis function, consolidation

CLC Number:

TB115

ZHANG Yan , PENG Chong , LI Xing. Three-dimensional radial point interpolation meshfree method and its application to consolidation analysis[J]., 2011, 32(6): 1898-1904.

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Three-dimensional radial point interpolation meshfree method and its application to consolidation analysis

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