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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

Damage gradient models approximate fracture mechanics using a modulation of the material stiffness. To this aim a single scalar field, the damage, is used to degrade as a whole the elastic energy. If applied to the structural models of…

Classical Physics · Physics 2022-11-30 Giovanni Corsi , Antonino Favata , Stefano Vidoli

Amorphous elastomers exhibit significant rate-stiffening and unique viscous flow characteristics across a wide range of strain rates, often undergoing glass transition above a strain rate threshold. We have developed a…

Soft Condensed Matter · Physics 2026-05-26 Bibekananda Datta , Sushan Nakarmi , Nitin P. Daphalapurkar

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

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

We recently developed a tensorial constitutive model for dense, shear-thickening particle suspensions that combines rate-independent microstructural evolution with a stress-dependent jamming threshold. This gives a good qualitative account…

Fluid Dynamics · Physics 2020-07-14 Jurriaan Gillissen , Christopher Ness , Joseph Peterson , Helen Wilson , Michael Cates

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…

Soft Condensed Matter · Physics 2018-02-14 Abhinendra Singh , Romain Mari , Morton M. Denn , Jeffrey F. Morris

The dependence of mechanical properties on microscopic interactions remains a central problem in the physics of disordered solids near the jamming transition. We numerically and theoretically investigate the mechanical response of jammed…

Soft Condensed Matter · Physics 2026-04-07 Michio Otsuki , Kiwamu Yoshii , Hideyuki Mizuno

Classically, the mechanical response of materials is described through constitutive models, often in the form of constrained ordinary differential equations. These models have a very limited number of parameters, yet, they are extremely…

Machine Learning · Computer Science 2022-09-27 Ehsan Haghighat , Sahar Abouali , Reza Vaziri

The shear viscosity in the dilute regime of a model for confined granular matter is studied by simulations and kinetic theory. The model consists on projecting into two dimensions the motion of vibrofluidized granular matter in shallow…

Statistical Mechanics · Physics 2015-06-22 Rodrigo Soto , Dino Risso , Ricardo Brito

Flow behavior of a single-component yield stress fluid is addressed on the hydrodynamic level. A basic ingredient of the model is a coupling between fluctuations of density and velocity gradient via a Herschel-Bulkley-type constitutive…

Soft Condensed Matter · Physics 2018-06-07 Markus Gross , Fathollah Varnik

We propose a constitutive model to predict the viscosity of fiber suspensions, which undergoes shear thinning, at various volume fractions, aspect ratios, and shear stresses/rates. We calibrate the model using the data from direct numerical…

Fluid Dynamics · Physics 2023-02-08 Monsurul Khan , Rishabh V. More , Arezoo M. Ardekani

We derive from particle-level dynamics a constitutive model describing the rheology of two-dimensional dense soft suspensions below the jamming transition, in a regime where hydrodynamic interactions between particles are screened. Based on…

Soft Condensed Matter · Physics 2026-01-08 N. Cuny , E. Bertin , R. Mari

We propose a thermodynamically based approach for constructing effective rate-type constitutive relations describing finite deformations of metamaterials. The effective constitutive relations are formulated as \emph{second-order} in time…

Materials Science · Physics 2025-10-09 Vít Průša , Casey Rodriguez , Ladislav Trnka , Martin Vejvoda

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…

This article proposes a coupled thermomechanical finite element model tailored to the macroscale simulation of metal additive manufacturing processes such as selective laser melting. A first focus lies on the derivation of a consistent…

Computational Engineering, Finance, and Science · Computer Science 2021-09-07 Sebastian D. Proell , Wolfgang A. Wall , Christoph Meier

Commonly used linear and nonlinear constitutive material models in deformation simulation contain many simplifications and only cover a tiny part of possible material behavior. In this work we propose a framework for learning customized…

Graphics · Computer Science 2020-10-27 Bin Wang , Yuanmin Deng , Paul Kry , Uri Ascher , Hui Huang , Baoquan Chen

In all structural models, the section or fiber response is a relation between the strain measures and the stress resultants. This relation can only be expressed in a simple analytical form when the material response is linear elastic. For…

Classical Physics · Physics 2020-03-18 David Portillo , Bastian Oesterle , Rebecca Thierer , Manfred Bischoff , Ignacio Romero

We construct a homogeneous, nonlinear elastic constitutive law, that models aspects of the mechanical behavior of inhomogeneous fibrin networks. Fibers in such networks buckle when in compression. We model this as a loss of stiffness in…

Biological Physics · Physics 2015-12-18 Phoebus Rosakis , Jacob Notbohm , Guruswami Ravichandran
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