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The analysis of finite elasto‐plastic consolidation
Author(s) -
Carter J. P.,
Booker J. R.,
Small J. C.
Publication year - 1979
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.1610030202
Subject(s) - consolidation (business) , constitutive equation , darcy's law , yield (engineering) , geotechnical engineering , plasticity , flow (mathematics) , mathematics , finite element method , mechanics , geology , materials science , geometry , porous medium , engineering , structural engineering , physics , porosity , accounting , business , composite material , metallurgy
Abstract A theoretical formulation and a numerical solution method are proposed for the problem of the time dependent consolidation of an elasto‐plastic soil subject to finite deformations. The soil is assumed to be a two‐phase material with a skeleton which may yield according to a general yield criterion with plastic flow governed by a general flow law, and whose pore fluid flows according to Darcy's Law. Governing equations are cast in a rate form and constitutive laws are expressed in a frame indifferent manner. The method of analysis is illustrated by several examples of practical interest for both a soil with an elastic skeleton and a soil with an elasto‐plastic skeleton which obeys a Morh–Coulomb yield criterion and a non‐associated flow law.