Premium
Variational principles and finite element simulations for thermo‐elastic consolidation
Author(s) -
Aboustit B. L.,
Advani S. H.,
Lee J. K.
Publication year - 1985
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.1610090105
Subject(s) - consolidation (business) , finite element method , compressibility , variational principle , infinitesimal , boundary value problem , plane stress , mathematics , thermoelastic damping , mathematical analysis , mixed finite element method , mechanics , classical mechanics , physics , structural engineering , engineering , thermal , accounting , business , meteorology
In this paper, a general variational principle for the initial boundary value problem of quasi‐static thermoelastic consolidation is developed by assuming infinitesimal deformation and an incompressible fluid flowing through a linearly elastic solid. By manipulating the coupling operators, an extended form of the variational pronciple is derved. The associated finite element formulation based on this principle is presented and numerical applications for plane strain thermo‐elastic consolidation are revealed.