A Bibliography of Consolidation

Schiffman, Robert L.

doi:10.1007/978-94-009-6175-3_13

Cited by 10 publications

(3 citation statements)

References 237 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Several modifications and developments have been made to the poroelasticity theory. A list of principal contributions to this subject can be found in Schiffman (1984), De Boer (2000), Schrefler (2002) and Selvadurai (2007).…”

Section: Introductionmentioning

confidence: 99%

Response of a solid infinite cylinder embedded in a poroelastic medium and subjected to a lateral load

Osman

Randolph

2010

International Journal of Solids and Structures

View full text Add to dashboard Cite

a b s t r a c tThis paper presents an analytical solution for the response of a poroelastic medium around a laterally loaded rigid cylinder using Biot's consolidation theory. A plane-strain section of the cylinder-porous medium system is considered and the problem is formulated in polar coordinates. Expressions for the pore fluid pressure, stresses and displacements in the Laplace domain are derived analytically. The inverse of the Laplace transform is evaluated numerically using an efficient scheme. Curves showing decay of the pore fluid pressure with time, the corresponding change in mean effective stress and the variation of displacement, are plotted in non-dimensional form.

show abstract

Section: Introductionmentioning

confidence: 99%

Response of a solid infinite cylinder embedded in a poroelastic medium and subjected to a lateral load

Osman

Randolph

2010

International Journal of Solids and Structures

View full text Add to dashboard Cite

show abstract

“…The infinitesimal theory employs Hookean elastic behaviour of the porous skeleton and Darcy's Law to describe the flow of water through the porous skeleton. The theory has been extensively applied in the context of geomechanics [55][56][57][58][59][60][61][62][63][64][65][66][67] and in the modelling of the mechanics of bone [68]. The classical theory of poroelasticity has also been formulated within the framework of the theory of mixtures and these developments are presented by several researchers including Green & Steel [69], Crochet & Naghdi [70], Mills [71,72], Mills & Steel [73] and Rajagopal & Tao [74] and references to further articles in this area are given by Green & Naghdi [75], Atkin & Craine [76], Shi et al [77], Rajagopal et al [78], Dai et al [79], Pence [80] and Selvadurai & Suvorov [81].…”

Section: Introductionmentioning

confidence: 99%

On the development of instabilities in an annulus and a shell composed of a poro-hyperelastic material

Selvadurai¹,

Suvorov²

2018

Proc. R. Soc. A.

View full text Add to dashboard Cite

The paper investigates the development of instability in an internally pressurized annulus of a poro-hyperelastic material. The theory of poro-hyperelasticity is proposed as an approach for modelling the mechanical behaviour of highly deformable elastic materials, the pore space of which is saturated with a fluid. The consideration of coupling between the mechanical response of the hyperelastic porous skeleton and the pore fluid is important when applying the developments to soft tissues encountered in biomechanical applications. The paper examines the development of an instability in a poro-hyperelastic annulus subjected to internal pressure. Using a computational approach, numerical solutions are obtained for the internal pressures that promote either short-term or long-term instability in a poro-hyperelastic annulus and a poro-hyperelastic shell. In addition, time-dependent effects of stability loss are examined. The analytical solutions are used to benchmark the accuracy of the computational approach.

show abstract

“…This study was then extended by Booker and Small for general surface loading (circular, strip, and square) and different surface (pervious/impervious) and base (smooth/rigid) conditions. The applications of Biot's theory are too numerous to be cited in their entirety; the reader is referred to review articles and volumes by Scheidegger , Paria , Zaretskii , Schiffman , Detournay and Cheng , Coussy , Selvadurai , de Boer , and Ehlers and Bluhm for further references.…”

Section: Introductionmentioning

confidence: 99%

A note on the consolidation settlement of a rigid circular foundation on a poroelastic halfspace

Kim

Selvadurai

2016

Int. J. Numer. Anal. Meth. Geomech.

View full text Add to dashboard Cite

SUMMARYThis paper uses Biot's poroelasticity approach to examine the consolidation behaviour of a rigid foundation with a frictionless base in contact with a poroelastic halfspace. The mathematical development of the mixed boundary value problem involves a set of dual integral equations in the Laplace transform domain which cannot be conveniently solved by employing conventional procedures. In this paper, a numerical solution is developed using a scheme where the contact normal stress is approximated by a discretized equivalent. The influence of limiting drainage boundary conditions at the entire surface of the halfspace on the degree of consolidation of the rigid circular foundation is investigated. The results obtained in this study are compared with the corresponding results given in the literature.

show abstract

A Bibliography of Consolidation

Cited by 10 publications

References 237 publications

Response of a solid infinite cylinder embedded in a poroelastic medium and subjected to a lateral load

Response of a solid infinite cylinder embedded in a poroelastic medium and subjected to a lateral load

On the development of instabilities in an annulus and a shell composed of a poro-hyperelastic material

A note on the consolidation settlement of a rigid circular foundation on a poroelastic halfspace

Contact Info

Product

Resources

About