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Diffusion in PoroElastic Media
 Jour. Math. Anal. Appl
, 1998
"... . Existence, uniqueness and regularity theory is developed for a general initialboundaryvalue 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 se ..."
Abstract

Cited by 20 (7 self)
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. Existence, uniqueness and regularity theory is developed for a general initialboundaryvalue 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 quasistatic 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 quasistatic 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). ...
unknown title
, 2009
"... av obe rg, P tions des to ations the m htly in the h onditio rated s i.e., coupled deformation and flow analyses. ments and porewater pressure. Since the 1970s, many authors have investigated consolidation problems by considering a linear elastic constitutive behavior and plane strain condition Chr ..."
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av obe rg, P tions des to ations the m htly in the h onditio rated s i.e., coupled deformation and flow analyses. ments and porewater pressure. Since the 1970s, many authors have investigated consolidation problems by considering a linear elastic constitutive behavior and plane strain condition Christian and Bohemer 1970; Hwang et al.
technische wetenschappen aan de Technische Hogeschool Delft,
, 1985
"... ter verkrijging van de graad van doctor in de ..."