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Foundations of multiphasic and porous materials. (English) Zbl 1062.76050
Ehlers, Wolfgang (ed.) et al., Porous media. Theory, experiments and numerical applications. Berlin: Springer (ISBN 3-540-43763-0/hbk). 3-86 (2002).
This overview article opens a book on porous media and is intended to form a basis for the theoretical, experimental and numerical investigations presented therein. In addition to the presentation of the fundamental concepts of one chosen approach to the theory of porous media (mixture theory and concept of volume fractions), two constitutive models are investigated in the paper in greater detail: on the one hand, a simple binary aggregate of a materially (i.e. on the level of true components) incompressible non-polar elastic skeleton saturated by a materially incompressible viscous pore-liquid and, on the other hand, a triphasic model of a materially incompressible elasto-plastic or elasto-viscoplastic micropolar skeleton saturated by two viscous pore-fluids: a materially incompressible pore-liquid and a pore-gas. Several numerical examples which have been computed by use of the finite element tool PANDAS have been included into the work. In particular, the leaking and wetting of a porous column, saturated and unsaturated consolidation, two different localization phenomena and the flow of pore-water through an embankment have been considered.
For the entire collection see [Zbl 1001.00011].

MSC:
76S05 Flows in porous media; filtration; seepage
76T30 Three or more component flows
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
76M10 Finite element methods applied to problems in fluid mechanics
74S05 Finite element methods applied to problems in solid mechanics
Software:
PANDAS
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