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Dynamics of unsaturated poroelastic solids at finite strain
Author(s) -
Uzuoka Ryosuke,
Borja Ronaldo I.
Publication year - 2012
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.1061
Subject(s) - poromechanics , hyperelastic material , finite element method , constitutive equation , finite strain theory , mechanics , matrix (chemical analysis) , porous medium , mathematics , classical mechanics , physics , materials science , structural engineering , geotechnical engineering , engineering , porosity , composite material
SUMMARY We derive the governing equations for the dynamic response of unsaturated poroelastic solids at finite strain. We obtain simplified governing equations from the complete coupled formulation by neglecting the material time derivative of the relative velocities and the advection terms of the pore fluids relative to the solid skeleton, leading to a so‐called u s − p w − p a formulation. We impose the weak forms of the momentum and mass balance equations at the current configuration and implement the framework numerically using a mixed finite element formulation. We verify the proposed method through comparison with analytical solutions and experiments of quasi‐static processes. We use a neo‐Hookean hyperelastic constitutive model for the solid matrix and demonstrate, through numerical examples, the impact of large deformation on the dynamic response of unsaturated poroelastic solids under a variety of loading conditions. Copyright © 2011 John Wiley & Sons, Ltd.