Diffusion in Poro-Elastic Media

Diffusion in Poro-Elastic Media (1998)

by R. E. Showalter

Venue:	Jour. Math. Anal. Appl
Citations:	7 - 7 self

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Datum	Value	Source
TITLE	Diffusion in Poro-Elastic Media	user correction - Legacy Corrections
AUTHOR NAME	R. E. Showalter	SVM HeaderParse 0.1
AUTHOR AFFIL	Department of Mathematics and; Texas Institute for Computational and Applied Mathematics	SVM HeaderParse 0.2
ABSTRACT	. Existence, uniqueness and regularity theory is developed for a general initial-boundary-value problem for a system of partial differential equations which describes the Biot consolidation model in poroelasticity as well as a coupled quasistatic problem in thermoelasticity. Additional effects of secondary consolidation and pore fluid exposure on the boundary are included. This quasi-static system is resolved as an application of the theory of linear degenerate evolution equations in Hilbert space, and this leads to a precise description of the dynamics of the system. 1. Introduction We shall consider a system modeling diffusion in an elastic medium in the case for which the inertia effects are negligible. This quasi-static assumption arises naturally in the classical Biot model of consolidation for a linearly elastic and porous solid which is saturated by a slightly compressible viscous fluid. The fluid pressure is denoted by p(x; t) and the displacement of the structure by u(x; t). ...	user correction - Legacy Corrections
YEAR	1998	user correction - Legacy Corrections
VENUE	Jour. Math. Anal. Appl	INFERENCE
VENUE TYPE	JOURNAL	INFERENCE
PAGES	200--0	INFERENCE
VOLUME	251	INFERENCE
CITATIONS	42 found	ParsCit 1.0