期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 39, 期 6, 页码 1557-1573出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0020-7683(02)00005-7
关键词
meshless method; radial basis functions; global equilibrium; consolidation process; pore water pressure
类别
An algorithm is proposed to solve Biot's consolidation problem using meshless method called a radial point interpolation method (radial PIM). The radial PIM is advantageous over the meshless methods based on moving least-square (MLS) method in implementation of essential boundary condition and over the original PIM with polynomial basis in avoiding singularity when shape functions are constructed. Two variables in Biot's consolidation theory, displacement and excess pore water pressure, are spatially approximated by the same shape functions through the radial PIM technique. Fully implicit integration scheme is proposed in time domain to avoid spurious ripple effect. Some examples with structured and unstructured nodes are studied and compared with closed-form solution or finite element method solutions. (C) 2002 Elsevier Science Ltd. All rights reserved.
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