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Constitutive equations of unsaturated soils are often derived in a thermodynamically consistent framework through the use a unique 'effective' interstitial pressure. This later is naturally chosen as the space averaged interstitial…

Geophysics · Physics 2010-10-14 O. Coussy , Jean-Michel Pereira

We present a thermodynamically consistent constitutive model for fluid-saturated sediments, spanning dense to dilute regimes, developed from the basic balance laws for two phase-mixtures. The model can represent various limiting cases, such…

Soft Condensed Matter · Physics 2021-05-18 Aaron S. Baumgarten , Ken Kamrin

A thermodynamically consistent extension of the constitutive equations of saturated soils to unsaturated conditions is often worked out through the use a unique 'effective' interstitial pressure, accounting equivalently for the pressures of…

Geophysics · Physics 2010-10-14 Olivier Coussy , Jean-Michel Pereira , Jean Vaunat

We introduce a conservational and constitutive framework for a closed and isothermal two-phase material system consisting of a deformable porous solid matrix and a fully saturating, single-phase, and compressible pore fluid without…

Fluid Dynamics · Physics 2023-04-06 Lei Jin

On the basis of plastic bounding surface model, the damage theory for structured soils and unsaturated soil mechanics, an elastoplastic model for unsaturated loessic soils under cyclic loading has been elaborated. Firstly, the description…

Classical Physics · Physics 2008-10-27 C. Yang , Yu-Jun Cui , Jean-Michel Pereira , M. S. Huang

The paper presents a new macroelement model for shallow foundations. The model is defined through a non-linear constitutive law written in terms of some generalized force and displacement parameters. The linear part of this constitutive law…

Classical Physics · Physics 2008-02-05 Charisis Chatzigogos , Alain Pecker , J. Salençon

We numerically investigate the rheological properties of jammed frictionless granular materials under an oscillatory shear in terms of our simulation of the distinct element method. It is demonstrated that the constitutive relation between…

Statistical Mechanics · Physics 2013-07-19 Michio Otsuki , Hisao Hayakawa

In unsaturated soil mechanics, the quest for an effective stress playing the same role as Terzaghi's effective stress does for saturated soils has introduced a long standing debate, dating back to the 1960s. Several contributions have been…

The constitutive equation discussed in this note eliminates some defects of linear elasticity in the description of the small-strain behaviour of soils. It is capable of representing volume changes in pure shear and different values of bulk…

Soft Condensed Matter · Physics 2012-01-05 José Jorge Nader

Desiccation cracking in clayey soils occurs when they lose moisture, leading to an increase in their compressibility and hydraulic conductivity and hence significant reduction of soil strength. The prediction of desiccation cracking in…

Geophysics · Physics 2021-06-10 Khoa M. Tran , Ha H. Bui , Giang D. Nguyen

In order to reveal the coupling effect among the chemical activity and the hydraulic seepage as well as the mechanical properties, a constitutive theoretical framework considering the chemical activity for saturated porous media is derived…

Soft Condensed Matter · Physics 2023-03-21 Ya-yuan Hu , Shu-hang Yuan

Fine particle suspensions (such as cornstarch mixed with water) exhibit dramatic changes in viscosity when sheared, producing fascinating behaviors that captivate children and rheologists alike. Recent examination of these mixtures in…

Soft Condensed Matter · Physics 2022-06-08 Aaron Baumgarten , Ken Kamrin

For a given thermodynamic system, and a given choice of coarse-grained state variables, the knowledge of a force-flux constitutive law is the basis for any nonequilibrium modeling. In the first paper of this series we established how, by a…

Statistical Mechanics · Physics 2021-02-03 Alberto Montefusco , Mark A. Peletier , Hans Christian Öttinger

Hydrogen enhanced cracking is one of the many failure mechanisms in metals depending on the corrosive environment. In the presented work, a multiscale constitutive model has been presented for hydrogen enhanced intergranular cracking in…

Materials Science · Physics 2019-10-10 M Amir Siddiq , Salah Rahimi

The present contribution proposes a general constitutive model to simulate the orthotropic stiffness, pre-peak nonlinearity, failure envelopes, and the post-peak softening and fracture of textile composites. Following the microplane model…

Materials Science · Physics 2015-09-09 Marco Salviato , Shiva Esna Ashari Esfahani , Gianluca Cusatis

The evolution of two grains, which lie on a substrate and are in contact with each other, can be roughly described by a model in which the exterior surfaces of the grains evolve by surface diffusion and the grain boundary, namely the…

Analysis of PDEs · Mathematics 2022-07-08 Katrine Golubkov , Amy Novick-Cohen , Yotam Vaknin

A complete approach for the determination of the complex constitutive behaviour of textile composites through finite element simulation is presented in this paper. In this work, simulations of different loading cases are carried out on…

Soft Condensed Matter · Physics 2008-12-18 Damien Durville

A constitutive model is presented for brittle granular materials based on a recent reformulation of the breakage mechanics theory. Compared with previous breakage mechanics-based models, the proposed model is improved to capture strain…

Soft Condensed Matter · Physics 2019-02-21 M. B. Cil , R. C. Hurley , L. Graham-Brady

Multi-phase flows encountered in nature or in industry, exhibit non trivial rheological properties, that can be understood better thanks to model materials and appropriate rheometers. Here, we use model unsaturated granular materials:…

Soft Condensed Matter · Physics 2021-06-24 Stephanie Deboeuf , Abdoulaye Fall

A poromechanical model of partially saturated deformable porous media is proposed based on a phase field approach at modeling the behavior of the mixture of liquid water and wet air, which saturates the pore space, the phase field being the…

Soft Condensed Matter · Physics 2016-06-22 Giulio Sciarra
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