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DYNAMIC ANALYSIS OF A FULLY SATURATED POROUS MEDIUM ACCOUNTING FOR GEOMETRICAL AND MATERIAL NON‐LINEARITIES
Author(s) -
DIEBELS S.,
EHLERS W.
Publication year - 1996
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19960115)39:1<81::aid-nme840>3.0.co;2-b
Subject(s) - porous medium , finite element method , range (aeronautics) , porosity , binary number , nonlinear system , mechanics , mathematics , statistical physics , materials science , physics , thermodynamics , arithmetic , composite material , quantum mechanics
Based on the theory of porous media (mixture theories extended by the concept of volume fractions), a model describing the dynamical behaviour of a saturated binary porous medium is presented including both geometrical and material non‐linearities. Transformed toward a weak formulation, the model equations are solved by use of the finite element method. Applications of the model range from one‐dimensional linear problems to two‐dimensional problems including the full dynamics and non‐linearities.