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Fundamental solutions for a partially saturated poroelastic continuum
Author(s) -
Li Peng,
Schanz Martin
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110113
Subject(s) - poromechanics , laplace transform , mathematical analysis , boundary value problem , mathematics , method of fundamental solutions , boundary element method , domain (mathematical analysis) , physics , singular boundary method , finite element method , porous medium , thermodynamics , engineering , porosity , geotechnical engineering
The Boundary Element Method is quite suitable for solving dynamic semi‐infinite or infinite linear problems. In order to establish the boundary integral equations, one crucial condition is the knowledge of corresponding fundamental solutions. For a partially saturated poroelastic continuum, the governing equations in Laplace domain are formulated based on the theory of mixtures, and the related fundamental solutions are derived by using Hörmanders method. The singular behavior of the fundamental solutions are investigated by a series expansion with respect to the variable r. Finally, some exemplary fundamental solutions are calculated to visualize the principal behavior as well, and comparisons with the related results of saturated poroelasticity are given. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)