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We study the elasto-plastic behaviour of materials made of individual (discrete) objects, such as a liquid foam made of bubbles. The evolution of positions and mutual arrangements of individual objects is taken into account through…

Soft Condensed Matter · Physics 2015-05-18 Christophe Raufaste , Simon Cox , Philippe Marmottant , François Graner

This paper analyzes the non-trivial influence of the material anisotropy on the structural behavior of an anisotropic multilayer planar beam. Indeed, analytical results available in literature are limited to homogeneous beams and several…

For the formulation of machine learning-based material models, the usage of invariants of deformation tensors is attractive, since this can a priori guarantee objectivity and material symmetry. In this work, we consider incompressible,…

Materials Science · Physics 2025-09-29 Franz Dammaß , Karl A. Kalina , Markus Kästner

High-density granular active matter is a useful model for dense animal collectives and could be useful for designing reconfigurable materials that can flow or solidify on command. Recent work has demonstrated key similarities and…

Soft Condensed Matter · Physics 2025-12-04 Adil Ghaznavi , Saverio Rossi , Francesco Zamponi , M. Lisa Manning

We develop a hyperelastic constitutive model for graphene --- describing in-plane deformations involving both large isotropic and deviatoric strains --- based on the invariant-theoretic approach to representation of anisotropic functions.…

Materials Science · Physics 2014-07-09 Sandeep Kumar , David M. Parks

We present new general relationships among the material properties of an isotropic material kept in homogeneous stress conditions with hydrostatic pressure and plane shear. The derivation is not limited to the proximity of the zero…

Soft Condensed Matter · Physics 2019-05-01 Amilcare Porporato , Salvatore Calabrese , Tomasz Hueckel

Thixotropic yields stress fluids are complex materials such as paint, drilling mud, and food products like ketchup or yogurt. They behave as a solid below a certain shear stress (called yield stress), and flows as a liquid above it. The…

Soft Condensed Matter · Physics 2026-04-29 Mario Liu

Particle based methods such as the Discrete Element Method and the Lattice Spring Method may be used for describing the behaviour of isotropic linear elastic materials. However, the common bond models employed to describe the interaction…

Computational Engineering, Finance, and Science · Computer Science 2021-07-06 Rahav Gowtham Venkateswaran , Ursula Kowalsky , Dieter Dinkler

To account for phenomenological theories and a set of invariants, stress and strain are usually decomposed into a pair of pressure and deviatoric stress and a pair of volumetric strain and deviatoric strain. However, the conventional…

Mathematical Physics · Physics 2012-11-15 HyunSuk Lee , Jinkyu Kim

The strain-energy formulation of nonlinear elasticity can be extended to the case of significant compression by modulating suitable strain energy terms by a function of relative volume. For isotropic materials this can be accomplished by…

Geophysics · Physics 2021-03-17 B. L. N. Kennett

We study the effects of the uniaxial tensile strain and shear deformation as well as their combinations on the electronic properties of single-layer black phosphorene. The evolutions of the strain-dependent band gap are obtained using the…

Recoverable strain is the strain recovered once a stress is removed from a body, in the direction opposite to that in which the stress had acted. To date, the phenomenon has been understood as being elastic in origin: polymer chains…

Soft Condensed Matter · Physics 2025-05-07 Henry A. Lockwood , Suzanne M. Fielding

We study computationally the creep and yielding of athermal gels and fibre network materials under a constant imposed shear stress, within a minimal model of interconnected filaments with central forces in $d=2$ spatial dimensions. Each…

Soft Condensed Matter · Physics 2026-01-23 Michael J. Hertaeg , Suzanne M. Fielding

During severe impact conditions, brain tissue experiences a rapid and complex deformation, which can be seen as a mixture of compression, tension and shear. Moreover, diffuse axonal injury (DAI) occurs in animals and humans when both the…

Soft Condensed Matter · Physics 2020-09-04 Badar Rashid , Michel Destrade , Michael D. Gilchrist

Fatigue simulation requires accurate modeling of unloading and reloading. However, classical ductile damage models treat deformations after complete failure as irrecoverable -- which leads to unphysical behavior during unloading. This…

Computational Engineering, Finance, and Science · Computer Science 2023-12-06 Leon Herrmann , Alireza Daneshyar , Stefan Kollmannsberger

Cyclic loading on granular packings and amorphous media exhibits a transition from reversible elastic behavior to irreversible plasticity. The present study compares the irreversibility transition and microscopic details of colloidal…

Soft Condensed Matter · Physics 2024-04-02 Khushika , Lasse Laurson , Pritam Kumar Jana

The study is devoted to geometrically non-linear modelling of viscoplastic structures with residual stresses. We advocate and develop a special approach to residual stresses based on the transition between reference configurations. The…

Materials Science · Physics 2021-04-06 I. I. Tagiltsev , A. V. Shutov

We identify three distinct shearing modes for simple shear deformations of transversely isotropic soft tissue which allow for both positive and negative Poynting effects (that is, they require compressive and tensile lateral normal…

Soft Condensed Matter · Physics 2020-09-21 Michel Destrade , Cornelius O. Horgan , Jerry G. Murphy

In soft amorphous materials, shear cessation after large shear deformation leads to structures having residual shear stress. The origin of these states and the distribution of the local shear stresses within the material is not well…

Soft Condensed Matter · Physics 2021-08-31 Vishwas V. Vasisht , Pinaki Chaudhuri , Kirsten Martens

We propose a theoretical framework for dealing with a transient polymer network undergoing small deformations, based on the rate of breaking and re-forming of network crosslinks and the evolving elastic reference state. In this framework,…

Soft Condensed Matter · Physics 2016-04-27 Fanlong Meng , Robyn H. Pritchard , Eugene M. Terentjev