The Volume Fraction Concept in the Porous Media Theory

Bluhm, Joachim; Boer, Reint de

doi:10.1002/zamm.19970770803

Cited by 43 publications

(22 citation statements)

References 29 publications

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“…A review on this subject is presented in Bluhm and de Boer (1997) where a multiplicative decomposition of the deformation gradient of the constituents is also proposed.…”

Section: Introductionmentioning

confidence: 99%

Formulation of a finite deformation model for the dynamic response of open cell biphasic media

Serpieri

Rosati

2011

Journal of the Mechanics and Physics of Solids

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“…A review on this subject is presented in Bluhm and de Boer (1997) where a multiplicative decomposition of the deformation gradient of the constituents is also proposed.…”

Section: Introductionmentioning

confidence: 99%

Formulation of a finite deformation model for the dynamic response of open cell biphasic media

Serpieri

Rosati

2011

Journal of the Mechanics and Physics of Solids

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“…Goodman & Cowin 1972;Nunziato & Walsh 1980;Passman et al 1984) to attempting the direct establishment of evolution laws of volume fractions by balancing their rates and production (e.g. Svendsen & Hutter 1995;Bluhm & de Boer 1997;de Bore 2000). All of the propositions are based on some microstructural kinetic or kinematic considerations.…”

Section: Introductionmentioning

confidence: 99%

A continuum framework for three-phase soils including microstructural effects

2006

Geomechanics and Geoengineering

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Nature as described by classical mechanics is governed by a set of physical laws in the balanced form of various physical entities, including mass, linear and angular momenta, energy, and entropy (entropy inequality). These laws must be obeyed in the development of any theory of applied mechanics. In soil mechanics, one deals with porous material composed of solids and fluids strongly interacting with each other. Within the framework of continuum mechanics, materials are assumed to be infinitesimally continuous, which renders an unavoidable hypothesis for soil. That is, each of the solid, liquid, and gaseous phases can be treated as a 'smeared' medium superimposed by and interacting with other constituents at the same infinitesimal point. Such treatment, however, requires the fundamental balance laws be recast into more elaborative forms involving microstructural effects (inter-phase actions).This paper introduces such a continuum framework based on existing theories of immiscible mixtures. To accommodate the pre-flow response, in the present work, the energy terms attributable to shear deformation and spin, allied with a coupling effect, are included. In the framework, a set of extended effective stresses is defined; indicating that the soil skeleton has an effective stiffness, which may still be positive-definite after failure. The framework is general and may pave a way for solving practical geotechnical problems covering both pre-and post-failure stages.

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“…Ehlers et al 4, Ehlers 5). The PMT is based on the axioms of continuum theories for mixtures, postulated by Truesdell 6, extended by the volume fraction concept by Bowen 7, 8 (see also Bluhm et al 9).…”

Section: Introductionmentioning

confidence: 99%

A comparison of variational formats for porous media subjected to dynamic loading

Lenhof

Larsson

Runesson

2011

Num Anal Meth Geomechanics

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SUMMARYThis paper presents a comparison of two variational formats for fully saturated porous media subjected to dynamic loading, whereby the general situation of relative fluid acceleration is considered: (1) the classical three-field (u, p, w)-format and (2) a novel two-field (u, p)-format, where the seepage velocity w is a spatially 'local' field whose treatment resembles that of internal variables in material models. The limited numerical comparison shows that the (u, p)-format competes well with the (u, p, w)-format. Indeed, it is consistent with the general acceleration modeling in the full range of permeabilities. Moreover, in the low permeability regime (where the magnitude of w is insignificant), the new format reflects the situation pertinent to 'added-mass' and is more efficient than the classical (u, p, w)-format. Finally, the (u, p)-format can conveniently be implemented in existing FE-codes based on the 'added mass' formulation.

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The Volume Fraction Concept in the Porous Media Theory

Cited by 43 publications

References 29 publications

Formulation of a finite deformation model for the dynamic response of open cell biphasic media

Formulation of a finite deformation model for the dynamic response of open cell biphasic media

A continuum framework for three-phase soils including microstructural effects

A comparison of variational formats for porous media subjected to dynamic loading

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