An interal length scale in dynamic strain localization of multiphase porous media

Zhang, H. W.; Sanavia, Lorenzo; Schrefler, B. A.

doi:10.1002/(sici)1099-1484(199909)4:5<443::aid-cfm69>3.0.co;2-6

Cited by 56 publications

(50 citation statements)

References 15 publications

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“…The internal length scale l w contained in the model is presented in [17]. Further interesting aspects of the effectiveness of l w are presented in [18] and [19].…”

Section: Introductionmentioning

confidence: 99%

A formulation for an unsaturated porous medium undergoing large inelastic strains

Sanavia¹,

Schrefler²,

Steinmann

2002

Computational Mechanics

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This paper presents a formulation for a saturated and partially saturated porous medium undergoing large elastic or elastoplastic strains. The porous material is treated as a multiphase continuum with the pores of the solid skeleton filled by water and air, this last one at constant pressure. This pressure may either be the atmospheric pressure or the cavitation pressure. The governing equations at macroscopic level are derived in a spatial and a material setting. Solid grains and water are assumed to be incompressible at the microscopic level. The isotropic elastoplastic behaviour of the solid skeleton is described by the multiplicative decomposition of the deformation gradient into an elastic and a plastic part. The effective stress state is limited by the Drucker-Prager yield surface, for which a particular "apex formulation" is advocated. The water is assumed to obey Darcy's law. Numerical examples of strain localisation of dense and loose sand conclude the paper

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“…The internal length scale l w contained in the model is presented in [17]. Further interesting aspects of the effectiveness of l w are presented in [18] and [19].…”

Section: Introductionmentioning

confidence: 99%

A formulation for an unsaturated porous medium undergoing large inelastic strains

Sanavia¹,

Schrefler²,

Steinmann

2002

Computational Mechanics

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“…The inflow and outflow fluxes have been described using the Fick law (13) for the diffusion of the vapour in the gas phase and by the Darcy law for the water and gas flows.…”

Section: Mass Balance Equationsmentioning

confidence: 99%

“…The internal length scale l w contained in the model is presented in [13]. Further interesting aspects of the effectiveness of l w are presented in [14] and [15].…”

mentioning

confidence: 99%

Finite element analysis of non-isothermal multiphase geomaterials with application to strain localization simulation

2005

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Finite element analysis of non-isothermal elasto-\ud plastic multiphase geomaterials is presented. The\ud multiphase material is modelled as a deforming porous\ud continuum where heat, water and gas flow are taken into\ud account. The independent variables are the solid displacements,\ud the capillary and the gas pressure and the\ud temperature. The modified effective stress state is limited\ud by the Drucker-Prager yield surface for simplicity. Small\ud strains and quasi-static loading conditions are assumed.\ud Numerical results of strain localization in globally undrained\ud samples of dense, medium dense and loose sands\ud and isochoric geomaterial are presented. A biaxial\ud compression test is simulated assuming plane strain\ud condition during the computations. Vapour pressure\ud below the saturation water pressure (cavitation) develops\ud at localization in case of dense sands, as experimentally\ud observed. A case of strain localization induced\ud by a thermal load where evaporation takes place is also\ud analysed

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“…(6). Its derivation can be found in Zhang et al (1999), i.e. Figure 1 shows the two regions identified by Eqs.…”

Section: Internal Length Scale Prediction For Special Casesmentioning

confidence: 99%

“…where a a is the damping coefficient, see Zhang et al (1999). The internal length scale prediction from damping effects is then given by…”

Section: Internal Length Scale Prediction For Special Casesmentioning

confidence: 99%

Interaction between different internal length scales for strain localisation analysis of single phase materials

Zhang

Schrefler²,

Wriggers

2003

Computational Mechanics

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It is well known that both rate dependent and gradient-dependent constitutive models introduce internal length scales in dynamic initial value problems. As a result, numerical solutions of such initial value problems involving strain-softening no longer exhibit excessive mesh dependence. In this paper, the length scales included in a solid model which exhibits both above mentioned constitutive behaviours are discussed. The internal length scales derived from damping effects, which are typical for the viscoplastic models, and the wave length, obtained from the critical wave number for which the wave speed is not imaginary, are used together to give a prediction of the internal length scale of the combined model. The approach proposed here for prediction of the internal length scale is more general than commonly used procedures and permits to explain phenomena observed in viscoplastic and gradient dependent models. A one dimensional example is given to illustrate the theoretical findings

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An interal length scale in dynamic strain localization of multiphase porous media

Cited by 56 publications

References 15 publications

A formulation for an unsaturated porous medium undergoing large inelastic strains

A formulation for an unsaturated porous medium undergoing large inelastic strains

Finite element analysis of non-isothermal multiphase geomaterials with application to strain localization simulation

Interaction between different internal length scales for strain localisation analysis of single phase materials

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