期刊
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
卷 40, 期 6, 页码 962-984出版社
WILEY
DOI: 10.1002/nag.2472
关键词
meshfree; seepage; u - w formulation; free surface
资金
- Ministerio de Ciencia e Innovacion [BIA2012-31678, MAT2012-35416]
- Consejeria de Educacion, Cultura y Deportes de la Junta de Comunidades de Castilla-La Mancha
- Fondo Europeo de Desarrollo Regional, Spain [PEII-2014-016-P]
- [BES2013-0639]
The object of this work is to establish a meshfree framework for solving coupled, steady and transient problems for unconfined seepage through porous media. The Biot's equations are formulated in displacements (or u - w) assuming an elastic solid skeleton. The free surface location and its evolution in time are obtained by interpolation of pore water pressures throughout the domain. Shape functions based on the principle of local maximum entropy are chosen for the meshfree approximation schemes. In order to avoid the locking involved in the fluid phase of the porous media, a B-bar based algorithm is devised to compute the average volumetric strain in a patch composed of various integration points. The efficiency of such an implementation for one phase problems is shown through the Benchmark problem, Cook's membrane loaded by a distributive shear load. The proposed methodology is firstly applied to various classical examples in unconfined steady seepage problems through earth dams, then to the dynamic consolidation of a soil column. The results obtained for both problems are quite satisfactory and demonstrate the feasibility of the proposed method in solving coupled problems in porous media. Copyright (C) 2015 John Wiley & Sons, Ltd.
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