Discontinuous bifurcation analysis of thermodynamically consistent gradient poroplastic materials

Mroginski, Javier L.; Etse, Guillermo

doi:10.1016/j.ijsolstr.2014.01.029

Cited by 13 publications

(6 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is known that multiphase porous materials contain multiple internal lengths, which influence the failure modes in different ways, for example . Test runs with respectively meshes of 85, 340 and 1360 elements in case of imposed displacements have confirmed that the shear band width is not mesh sensitive while the values of equivalent plastic strain, volumetric strain, capillary pressure, water vapour pressure and relative humidity are.…”

Section: Discussionmentioning

confidence: 90%

See 1 more Smart Citation

A thermo‐hydro‐mechanical model for multiphase geomaterials in dynamics with application to strain localization simulation

Cao

Sanavia

Schrefler

2016

Numerical Meth Engineering

View full text Add to dashboard Cite

In this paper, the non-isothermal elasto-plastic behaviour of multiphase geomaterials in dynamics is investigated with a thermo-hydro-mechanical model of porous media. The supporting mathematical model is based on averaging procedures within the Hybrid Mixture Theory. A computationally efficient reduced formulation of the macroscopic balance equations which neglects the relative acceleration of the fluids and the convective terms is adopted. The modified effective stress state is limited by the Drucker-Prager yield surface. Small strains and dynamic loading conditions are assumed. The standard Galerkin procedure of the finite element method is applied to discretize the governing equations in space, while the generalized Newmark scheme is used for the time discretization. The final non-linear set of equations is solved by the Newton method with a monolithic approach.Coupled dynamic analyses of strain localization in globally undrained samples of dense and medium dense sands are presented as examples. Vapour pressure below the saturation water pressure (cavitation) develops at localization in case of dense sands, as experimentally observed. {\color{red}A numerical study of the regularization properties of the finite element model is shown and discussed.} A non-isothermal case of incipient strain localization induced by temperature increase where evaporation takes place is also analysed

show abstract

Section: Discussionmentioning

confidence: 90%

“…To study independence of shear band width from the finite element size in dynamics , test runs with meshes of 85, 340 and 1360 elements, respectively, have been carried out. In this case, the finite elements are four‐node isoparametric ones to reduce the computational cost.…”

Section: Numerical Applicationsmentioning

confidence: 99%

A thermo‐hydro‐mechanical model for multiphase geomaterials in dynamics with application to strain localization simulation

Cao

Sanavia

Schrefler

2016

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…In summary, the strain localization analysis of an unsaturated soil sample under the constant suction condition presented here demonstrates that the proposed nonlocal model can be used to simulate the inception and propagation of strain localization phenomenon in geomaterials. There is no need to conduct regularizations as usually required by the numerical methods based on PDEs (eg, the mixed FEM) in that the formulation is based on integral equations that allow for the displacement discontinuities in the problem domain. Because of the nonlocal variable defined in the mathematical formulations, the proposed nonlocal model can capture the thickness of the shear band observed in the laboratory test by adjusting the nonlocal variable δ .…”

Section: Numerical Simulationsmentioning

confidence: 99%

A peridynamics model for strain localization analysis of geomaterials

Song

Khalili

2018

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

Summary Geomaterials such as sand and clay are highly heterogeneous multiphase materials. Nonlocality (or a characteristic length scale) in modeling geomaterials based on the continuum theory can be associated with several factors, for instance, the physical interactions of material points within finite distance, the homogenization or smoothing process of material heterogeneity, and the particle or problem size‐dependent mechanical behavior (eg, the thickness of shear bands) of geomaterials. In this article, we formulate a nonlocal elastoplastic constitutive model for geomaterials by adapting a local elastoplastic model for geomaterials at a constant suction through the constitutive correspondence principle of the state‐based peridynamics theory. We numerically implement this nonlocal constitutive model via the classical return‐mapping algorithm of computational plasticity. We first conduct a one‐dimensional compression test of a soil sample at a constant suction through the numerical model with three different values of the nonlocal variable (horizon) δ. We then present a strain localization analysis of a soil sample under the constant suction and plane strain conditions with different nonlocal variables. The numerical results show that the proposed nonlocal model can be used to simulate the inception and propagation of shear banding as well as to capture the thickness of shear bands in geomaterials at a constant suction.

show abstract

“…It was shown in [5,6] that a large deformation gradient theory can provide a localized shear band thickness in the neck, no matter what the computational grid size is. A non-local constitutive formulation including a gradient internal length of poroplastic materials was given in [7] to derive analytical expressions of the critical hardening/softening modulus for localized failure.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of Stress-Strain Localization in the Titanium Surface Modified by an Electron Beam Treatment

et al. 2016

View full text Add to dashboard Cite

show abstract

Discontinuous bifurcation analysis of thermodynamically consistent gradient poroplastic materials

Cited by 13 publications

References 36 publications

A thermo‐hydro‐mechanical model for multiphase geomaterials in dynamics with application to strain localization simulation

A thermo‐hydro‐mechanical model for multiphase geomaterials in dynamics with application to strain localization simulation

A peridynamics model for strain localization analysis of geomaterials

Numerical Study of Stress-Strain Localization in the Titanium Surface Modified by an Electron Beam Treatment

Contact Info

Product

Resources

About