Journal ArticleDOI
Viscoelastic Plate on Poroelastic Foundation
Reads0
Chats0
TLDR
In this article, a solution for the quasistatic response of a linear viscoelastic infinite plate supported on a poroelastic half-space, subjected to a uniform circular loading, is presented.Abstract:
A solution for the quasistatic response of a linear viscoelastic infinite plate supported on a poroelastic half-space, subjected to a uniform circular loading, is presented. The poroelastic material is defined to be an interacting mixture of materials, consisting of a linear elastic porous solid and an incompressible fluid. Mathematical descriptions of poroelastic medium and viscoelastic plate are presented. The initial-boundary value problem that models the deformation response to load application is solved using iterated Laplace-Hankel integral transformations. Numerical inversions of the transformed solution images that are obtained are considered. An example of numerical solution for the plate deflection and foundation reaction as functions of time is presented.read more
Citations
More filters
Journal ArticleDOI
Static and dynamic analysis of a viscoelastic plate by the finite element method
Y.Z. Wang,T.J. Tsai +1 more
TL;DR: In this article, a finite element method is employed to analyse the quasi-static and dynamic response of the linear viscoelastic plate, and the constitutive law is of hereditary integral type with constant Poisson's ratio.
Journal ArticleDOI
Macroscopic constitutive equations of thermo-poroviscoelasticity derived using eigenstrains
TL;DR: In this paper, the constitutive equations for thermo-viscoelastic processes in a fully saturated porous medium are derived from basic principles of micromechanics applicable to solid multi-phase materials such as composites.
Book ChapterDOI
A Bibliography of Consolidation
TL;DR: A citation bibliography of works dealing with the quasi-static theory of consolidation of soil, and rock, as at 1982 is given in this paper, with references from the authors.
Journal ArticleDOI
Biot's problem for a Biot material
A.P.S. Selvadurai,Li Shi +1 more
TL;DR: In this article, a solution to the problem of an infinite beam of finite width resting on a poroelastic subgrade is presented, where a combination of Fourier and Laplace transforms are used to solve the problem.
Journal ArticleDOI
Bending of elastic beams on winkler-type viscoelastic foundations with unilateral constraints
Mieczysław Kuczma,Romuald Świtka +1 more
TL;DR: In this paper, a solution algorithm is presented for the analysis of unilateral, frictionless contact between a beam and a viscoelastic foundation, where the foundation is modelled as a Winkler-type VE medium, to which the time integration method was applied.