Elastic moduli of soils dependent on pressure: a hyperelastic formulation

Houlsby, G. T.; Amorosi, A.; Rojas, Eduardo

doi:10.1680/geot.2005.55.5.383

Cited by 149 publications

(95 citation statements)

References 13 publications

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“…This is derived by employing a hyperelastic formulation [45,46,47,48,49,50,51]. Its dependence on the stress state is imposed by suitably defining the…”

Section: The Elastic Responsementioning

confidence: 99%

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A visco‐elasto‐plastic model for granular materials under simple shear conditions

Redaelli

Prisco

Vescovi

2015

Num Anal Meth Geomechanics

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SUMMARYThe numerical simulation of rapid landslides is quite complex mainly because constitutive models capable of simulating the mechanical behaviour of granular materials in the pre-and post-collapse regimes are still missing. The goal of this paper is to introduce a constitutive model capable of capturing the response of dry granular flows from quasi-static to dynamic conditions, in particular when the material experiences a sort of from solid to fluid phase transition. An ideal assembly of identical spheres under simple shear conditions is condsidered. In the constitutive model, void ratio and granular temperature have been chosen as state variables, and both shear and normal stresses are computed as the sum of two contributions: the quasi static and the collisional one. The former one is determined by using a perfect elasto-plastic model including the critical state concept, while the latter one is derived from the kinetic theory of granular gases. The evolution of the granular temperature, fundamentally governing the material phase transition, is obtained by imposing the kinetic fluctuating energy balance. The constitutive relationship has been integrated, under both constant pressure and constant volume conditions, and the influence of shear strain rate, initial void ratio and normal pressure on the mechanical response has been investigated.

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“…This is derived by employing a hyperelastic formulation [45,46,47,48,49,50,51]. Its dependence on the stress state is imposed by suitably defining the…”

Section: The Elastic Responsementioning

confidence: 99%

“…The authors have decided to adopt, for defining this latter, the approach proposed by Houlsby et al [51] and they have introduced, under simple shear conditions, the following expression:…”

Section: The Elastic Responsementioning

confidence: 99%

A visco‐elasto‐plastic model for granular materials under simple shear conditions

Redaelli

Prisco

Vescovi

2015

Num Anal Meth Geomechanics

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“…For the elastic part of the constitutive model, we use a 2-invariant-based isotropic hyperelastic model with variable elastic bulk and shear moduli, [35][36][37] in which the hyperelastic energy function  is defined in terms of the 2 elastic strain invariants e v and e s , ie,…”

Section: Hyperelastic Model For Geomaterialsmentioning

confidence: 99%

Diffuse bifurcations engraving diverse shear bands in granular materials

Yamakawa

Ikeda

Saiki

et al. 2017

Num Anal Meth Geomechanics

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SummaryShear bands with characteristic spatial patterns observed in an experiment for a cubic or parallelepiped specimen of dry dense sand were simulated by numerical bifurcation analysis using the Cam-clay plasticity model. By incorporating the subloading surface concept into the plasticity model, the model became capable of reproducing hardening/softening and contractive/dilative behavior observed in the experiment. The model was reformulated to be compatible with the multiplicative hyperelasto-plasticity for finite strains. This enhanced constitutive model was implemented into a finite-element code reinforced by a stress updating algorithm based on the return-mapping scheme, and by an efficient numerical procedure to compute critical eigenvectors of elastoplastic tangent stiffness matrix at bifurcation points. The emergence of diamond-and column-like diffuse bifurcation modes breaking uniformity of the materials, followed by the evolution of shear bands through strain localization, was observed in the analysis. In the bifurcation analysis of plane strain compression test, unexpected bifurcation modes, which broke out-of-plane uniformity and led to 3-dimensional diamond-like patterns, were detected. Diffuse bifurcations, which were difficult to observe by experiments, have thus been found as a catalyst creating diverse shear band patterns.

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“…Several expressions have been proposed for the Helmholtz free energy, such as those by Houlsby (1985), Borja et al (1997) or Houlsby et al (2005). To keep it simple, we will consider a pressure-dependent bulk modulus and a constant shear modulus.…”

Section: Elasticitymentioning

confidence: 99%

On Elastoplastic Damage Modelling in Unsaturated Geomaterials

Pense¹,

Gatmiri²,

Pouya³

2012

Unsaturated Soils: Research and Applications

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Abstract. In the context of nuclear waste disposal, the modelling of the behaviour of host rocks and soils still needs improvement. Unsaturated porous geomaterials exhibit particular behaviour when exposed to suction. Their non-linear behaviour may result from two different processes, plasticity which induces irreversible strains and damage which causes a deterioration of their elastic properties. Many elasto-plastic models are now available for unsaturated soils, most of them based on the Barcelona Basic Model (Alonso et al., 1990). They take into consideration a certain number of issues linked with the nature of unsatured soils. Models coupling damage and plasticity have also been proposed for continuous media. Since very few works have attempted to connect these two distinct fields, unsaturated soil mechanics and continuum damage mechanics, this work focuses on the main issues related to the development of a model coupling elasto-plasticity and damage for unsaturated porous media.

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Elastic moduli of soils dependent on pressure: a hyperelastic formulation

Cited by 149 publications

References 13 publications

A visco‐elasto‐plastic model for granular materials under simple shear conditions

A visco‐elasto‐plastic model for granular materials under simple shear conditions

Diffuse bifurcations engraving diverse shear bands in granular materials

On Elastoplastic Damage Modelling in Unsaturated Geomaterials

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