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Soft materials such as rubber and hydrogels are commonly used in industry for their excellent hyperelastic behaviour. There are various types of constitutive models for soft materials, and phenomenological models are very popular for finite…

Soft Condensed Matter · Physics 2021-06-29 Shun Meng , Haroon Imtiaz , Bin Liu

We use shear reversal simulations to explore the rheology of dense, non-Brownian suspensions, resolving lubrication forces between neighbouring particles and modelling particle surface contacts. The transient stress response to an abrupt…

Soft Condensed Matter · Physics 2016-01-13 Christopher Ness , Jin Sun

A general expression for the strain energy of a homogeneous, isotropic, plane extensible elastica with an arbitrary undeformed configuration is derived. This energy constitutes the correct expression for one-dimensional models of polymers…

Physics and Society · Physics 2023-09-13 Alessandro Taloni , Daniele Vilone , Giuseppe Ruta

We develop a learning strategy to infer the constitutive relation for the stress of polymeric flows with memory. We make no assumptions regarding the functional form of the constitutive relations, except that they should be expressible in…

Computational Physics · Physics 2020-08-06 Naoki Seryo , Takeshi Sato , John J. Molina , Takashi Taniguchi

Real-world solids, such as rocks, soft tissues, and engineering materials, are often under some form of stress. Most real materials are also, to some degree, anisotropic due to their microstructure, a characteristic often called the…

Classical Physics · Physics 2022-08-09 Soumya Mukherjee , Michel Destrade , Artur L. Gower

We investigate experimentally the mechanical response of a monolayer of bi-disperse frictional grains to an inhomogeneous shear perturbation across the jamming transition. We inflate an intruder inside the packing and use photo-elasticity…

Soft Condensed Matter · Physics 2014-11-10 Corentin Coulais , Antoine Seguin , Olivier Dauchot

We present a constitutive model capturing some of the experimentally observed features of soft biological tissues: nonlinear viscoelasticity, nonlinear elastic anisotropy, and nonlinear viscous anisotropy. For this model we derive the…

Soft Condensed Matter · Physics 2007-12-04 Michel Destrade , Giuseppe Saccomandi

A theoretical model describing the one-dimensional large strain consolidation of the modified Cam Clay soil is presented in this paper. The model is based on the Lagrangian formulation, and is capable of featuring the variability of soil…

Geophysics · Physics 2024-10-08 Sheng-Li Chen , Hai-Sui Yu , Younane N. Abousleiman , Christopher E. Kees

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

We consider shear wave propagation in soft viscoelastic solids of rate type. Based on objective stress rates, the constitutive model accounts for finite strain, incompressibility, as well as stress- and strain-rate viscoelasticity. The…

Soft Condensed Matter · Physics 2023-09-25 Harold Berjamin , Michel Destrade , Giuseppe Saccomandi

We revisit the problem of the stress distribution in a frictional sandpile under gravity, equipped with a new numerical model of granular assemblies with both normal and tangential (frictional) inter-granular forces. Numerical simulations…

Disordered Systems and Neural Networks · Physics 2016-11-30 H. George E. Hentschel , Prabhat K. Jaiswal , Chandana Mondal , Itamar Procaccia , Jacques Zylberg

We introduce a class of continuum mechanical models aimed at describing the behaviour of viscoelastic fluids by incorporating concepts originated in the theory of solid plasticity. Within this class, even a simple model with constant…

Soft Condensed Matter · Physics 2024-09-04 Muhanna A. H Alrashdi , Giulio G. Giusteri

By modeling a colloidal suspension at rest as a solid, a new expression for the linear elastic modulus is obtained. This estimate is valid for a yield stress colloidal suspension submitted to a small strain. Interestingly, it is also…

Classical Physics · Physics 2009-10-12 Laurentiu Pasol , Xavier Chateau

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

Elastic and dissipative properties of granular assemblies under uniaxial compression are studied both experimentally and by numerical simulations. Following a novel compaction procedure at varying oscillatory pressures, the stress response…

Soft Condensed Matter · Physics 2009-11-11 Jasna Brujic , Ping Wang , Chaoming Song , David L. Johnson , Olivier Sindt , Hernan A. Makse

In recent work it was clarified that amorphous solids under strain control do not possess nonlinear elastic theory in the sense that the shear modulus exists but nonlinear moduli exhibit sample to sample fluctuations that grow without bound…

Soft Condensed Matter · Physics 2017-03-29 Vladimir Dailidonis , Valery Ilyin , Itamar Procaccia , Carmel A. B. Z. Shor

We study a model describing the slow flow of a fluid through a deformable, porous, elastic solid undergoing small deformations. The stress-strain relationship of the solid incorporates nonlinear effects, formulated as a perturbation of the…

Numerical Analysis · Mathematics 2026-04-28 Andrea Bonito , Vivette Girault , Diane Guignard

Large deformations play a central role in the shape transformations of slender active and biological structures. A classical example is the eversion of the Volvox embryo, which demonstrates the need for shell theories that can describe…

Soft Condensed Matter · Physics 2026-03-18 Matteo Taffetani , Matteo Pezzulla

The purpose of this study is to propose a modified micromorphic continuum model for granular materials based on a micromechanics approach. In this model, Cauchy stress and the couple stress are symmetric conjugated with the symmetric strain…

Geophysics · Physics 2019-07-12 Chenxi Xiu , Xihua Chu

Here we present a model to study the micro-plastic regime of a stress-strain curve. In this model an explicit dislocation population represents the mobile dislocation content and an internal shear-stress field represents a mean-field…

Materials Science · Physics 2015-06-05 P. M. Derlet , R. Maaß
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