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Parametric variational principle for elastic–plastic consolidation analysis of saturated porous media
Author(s) -
HongWu Zhang
Publication year - 1995
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610191203
Subject(s) - consolidation (business) , finite element method , parametric statistics , variational principle , porous medium , plasticity , mathematics , quadratic equation , numerical analysis , softening , variational inequality , mathematical analysis , mechanics , structural engineering , porosity , engineering , geotechnical engineering , materials science , geometry , physics , statistics , accounting , business , composite material
Finite element procedures for numerical solution of various engineering problems are often based on variational formulations. In this paper, a parametric variational principle applicable to elastic‐plastic coupled field problems in consolidation analysis of saturated porous media is presented. This principle can be used to solve problems where materials are inconsistent with Drucker's postulate of stability, such as in non‐associated plasticity flow or softening problems. The finite element formulation was given, and it can be solved by either the conventional method or a parametric quadratic programming method.