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Using mode-coupling theory, we derive a constitutive equation for the nonlinear rheology of dense colloidal suspensions under arbitrary time-dependent homogeneous flow. Generalizing previous results for simple shear, this allows the full…

软凝聚态物质 · 物理学 2009-11-13 J. M. Brader , M. E. Cates , M. Fuchs

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…

经典物理 · 物理学 2008-02-05 Charisis Chatzigogos , Alain Pecker , J. Salençon

We propose a method to accurately and efficiently identify the constitutive behavior of complex materials through full-field observations. We formulate the problem of inferring constitutive relations from experiments as an indirect inverse…

材料科学 · 物理学 2024-12-05 Andrew Akerson , Aakila Rajan , Kaushik Bhattacharya

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…

地球物理 · 物理学 2010-10-14 Olivier Coussy , Jean-Michel Pereira , Jean Vaunat

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…

软凝聚态物质 · 物理学 2019-02-21 M. B. Cil , R. C. Hurley , L. Graham-Brady

As a service for the solid mechanics community we gather in this paper constitutive properties of a collective list of isotropic elastic energies for compressible materials. Of interest to us are the invertibility and monotonicity of…

经典物理 · 物理学 2025-09-03 Ionel-Dumitrel Ghiba , Robert Martin , Marius Apetrii , Patrizio Neff

We have measured the nonlinear rheological response of a model transient network over a large range of steady shear rates. The system is built up from an oil in water droplet microemulsion into which a telechelic polymer is incorporated.…

软凝聚态物质 · 物理学 2009-11-10 Eric Michel , Jacqueline Appell , Francois Molino , Jean Kieffer , Gregoire Porte

We consider here a discrete system of spheres interacting through a lubrication force. This force is dissipative, and singular near contact: it behaves like the reciprocal of interparticle distance. We propose a macroscopic constitutive…

偏微分方程分析 · 数学 2012-09-06 Aline Lefebvre-Lepot , Bertrand Maury , Aline Lefebvre

Mechanical densification of granular bodies is a process in which a loose material becomes increasingly cohesive as the applied pressure increases. A constitutive description of this process faces the formidable problem that granular and…

数学物理 · 物理学 2015-05-20 Andrea Piccolroaz , Davide Bigoni , Alessandro Gajo

Discrete particle simulations are used to study the shear rheology of dense, stabilized, frictional particulate suspensions in a viscous liquid, toward development of a constitutive model for steady shear flows at arbitrary stress. These…

软凝聚态物质 · 物理学 2018-02-14 Abhinendra Singh , Romain Mari , Morton M. Denn , Jeffrey F. Morris

The theory of evolving natural configurations is an effective technique to model dissipative processes. In this paper, we use this theory to revisit nonlinear constitutive models of viscoelastic solids. Particularly, a Maxwell and a…

软凝聚态物质 · 物理学 2025-08-08 Tarun Singh , Sandipan Paul

We develop a tensorial constitutive model for dense, shear-thickening particle suspensions subjected to time-dependent flow. Our model combines a recently proposed evolution equation for the suspension microstructure in rate-independent…

Constitutive equations are developed for a polymer fluid, which is treated as a permanent network of strands bridged by junctions. The junctions are assumed to slide with respect to their reference positions under loading. Governing…

材料科学 · 物理学 2007-05-23 A. D. Drozdov , R. K. Gupta

An elasto-plastic model for concrete, based on a recently-proposed yield surface and simple hardening laws, is formulated, implemented, numerically tested and validated against available test results. The yield surface is smooth and…

材料科学 · 物理学 2014-04-28 F. Poltronieri , A. Piccolroaz , D. Bigoni

This study proposes a simple and novel class of stretch-limiting constitutive relations for perfectly flexible elastic strings drawing from modern advances in constitutive theory for elastic bodies. We investigate strings governed by…

数学物理 · 物理学 2025-04-14 Roger Bustamante , K. R. Rajagopal , Casey Rodriguez

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…

统计力学 · 物理学 2013-07-19 Michio Otsuki , Hisao Hayakawa

Simple strain-rate viscoelasticity models of isotropic soft solid are introduced. The constitutive equations account for finite strain, incompressibility, material frame-indifference, nonlinear elasticity, and viscous dissipation. A…

软凝聚态物质 · 物理学 2023-04-06 Harold Berjamin

Based on a modified expression of the rate of the convective constraint release, we present a new contour-variable model of constitutive equations in which the non-uniform segmental stretch and the non-Gaussian chain statistical treatment…

流体动力学 · 物理学 2009-08-03 Shuanhu Qi , Shuang Yang , Dadong Yan

Machine learning approaches informed by physics have offered new insights into the discovery of constitutive models from data, helping overcome some limitations of traditional constitutive modelling while reducing the cost of otherwise…

材料科学 · 物理学 2026-05-19 Filippo Masi

Main characteristics of colloidal systems that develop fluid phases with different mechanical properties, namely shear-banding fluids, are briefly reviewed both from experimental and theoretical (modelling) point of view. A non-monotonic…

软凝聚态物质 · 物理学 2009-03-05 Daniel Quemada , Claudio Berli