Effect of pore fluid compressibility on localization in elastic-plastic porous solids under undrained conditions

Runesson, Kenneth; Perić, Dunja; Sture, Stein

doi:10.1016/0020-7683(95)00104-2

Cited by 43 publications

(33 citation statements)

References 10 publications

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“…This is contrary to the strain localization behavior observed in fully saturated soils (Runesson et al, 1996) whereby undrained condition was found to delay the onset of strain localization.…”

Section: Discussioncontrasting

confidence: 99%

“…Perić and Rasheed (2007) found analytical solutions for the inception of strain localization in fiber reinforced single phase elastic-plastic materials. Mathematical forms of solutions found by Perić and Rasheed (2007) and by Runesson et al (1996) are similar in that both, the incompressibility constraint in undrained loading and presence of fibers in one phase materials were found to delay the onset of strain localization. The authors have not been able to identify any existing analytical solutions for inception of strain localization in unsaturated soils.…”

Section: Introductionmentioning

confidence: 69%

“…Thus, in unsaturated soils the undrained condition can promote the strain localization by decreasing the initial suction. On the contrary, it was found by Runesson et al (1996) that undrained condition in saturated soils suppresses the onset of strain localization because it is synonymous with the zero volume change, which imposes a strict constraint on deformation. Figure 6 illustrates dependence of the critical strain, which is the value of axial strain at onset of strain localization, on the initial net mean stress, initial suction, and drainage conditions.…”

Section: Applications To Bourke Siltmentioning

confidence: 99%

“…It is noted that the eigenvector c u i reduces to the one given by Runesson et al (1996) for an undrained loading of fully saturated soil, which in the limit corresponds to 1 fs KK  .…”

Section: Case (I): Undrained Loadingmentioning

confidence: 99%

“…The existing analytical solutions for the onset of strain localization range from those addressing one phase materials (Rudnicki and Rice 1975; to two phase saturated materials (Runesson et al 1996;Benallal and Comi 2002). Vardoulakis (1996a) and Vardoulakis (1996b) analyzed actual undrained plane strain experiments by using the framework of continuum mixtures theory for elastic-plastic materials with internal friction and dilatancy.…”

Section: Introductionmentioning

confidence: 99%

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Strain Localization in Unsaturated Elastic-Plastic Materials Subjected to Plane Strain Compression

2014

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Section: Discussioncontrasting

confidence: 99%

Section: Introductionmentioning

confidence: 69%

Section: Applications To Bourke Siltmentioning

confidence: 99%

“…It is noted that the eigenvector c u i reduces to the one given by Runesson et al (1996) for an undrained loading of fully saturated soil, which in the limit corresponds to 1 fs KK  .…”

Section: Case (I): Undrained Loadingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Strain Localization in Unsaturated Elastic-Plastic Materials Subjected to Plane Strain Compression

2014

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An analysis of strong discontinuities in a saturated poro-plastic solid

Armero

Callari

1999

Int. J. Numer. Meth. Engng.

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SUMMARYWe present in this paper an analysis of strong discontinuities in fully saturated porous media in the in"nitesimal range. In particular, we describe the incorporation of the local e!ects of surfaces of discontinuity in the displacement "eld, and thus the singular distributions of the associated strains, from a local constitutive level to the large-scale problem characterizing the quasi-static equilibrium of the solid. The characterization of the #ow of the #uid through the porous space is accomplished in this context by means of a localized (singular) distribution of the #uid content, that is, involving a regular #uid mass distribution per unit volume and a #uid mass per unit area of the discontinuity surfaces in the small scale of the material. This framework is shown to be consistent with a local continuum model of coupled poro-plasticity, with the localized #uid content arising from the dilatancy associated with the strong discontinuities. More generally, complete stress}displacement}#uid content relations are obtained along the discontinuities, thus identifying the localized dissipative mechanisms characteristic of localized failures of porous materials. The proposed framework also involves the coupled equation of conservation of #uid mass and seepage through the porous solid via Darcy's law, and considers a continuous pressure "eld with discontinuous gradients, thus leading to discontinuous #uid #ow vectors across the strong discontinuities. All these developments are then examined in detail for the model problem of a saturated shear layer of a dilatant material. Enhanced "nite element methods are developed in this framework for this particular problem. The "nite elements accommodate the di!erent localized "elds described above at the element level. Several representative numerical simulations are presented illustrating the performance of the proposed numerical methods.

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Enhanced finite element formulation for geometrically linear fluid-saturated porous media

Papastavrou

Steinmann

Stein

1997

Mech. Cohes.-Frict. Mater.

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Effect of pore fluid compressibility on localization in elastic-plastic porous solids under undrained conditions

Cited by 43 publications

References 10 publications

Strain Localization in Unsaturated Elastic-Plastic Materials Subjected to Plane Strain Compression

Strain Localization in Unsaturated Elastic-Plastic Materials Subjected to Plane Strain Compression

An analysis of strong discontinuities in a saturated poro-plastic solid

Enhanced finite element formulation for geometrically linear fluid-saturated porous media

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