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Constitutive equations are derived for the viscoelastoplastic response of amorphous glassy polymers at isothermal loading with small strains. A polymer is treated as an ensemble of cooperatively relaxing regions (CRR) which rearrange at…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov

Large-scale simulations of thermal welding of polymers are performed to investigate the rise of mechanical strength at the polymer-polymer interface with the welding time. The welding process is in the core of integrating polymeric elements…

Soft Condensed Matter · Physics 2012-11-30 Ting Ge , Flint Pierce , Dvora Perahia , Gary S. Grest , Mark O. Robbins

A simple micromechanical model of polycrystalline materials is proposed, which enables us to swiftly produce grain-boundary-stress distributions induced by the uniform external loading (in the elastic strain regime). Such statistical…

Materials Science · Physics 2024-05-24 Timon Mede , Samir El Shawish

Brittle-ductile transition (BDT) is an important characteristic of amorphous (and semicrystalline) polymers. For a given strain rate, at temperatures above BDT, the polymers exhibit strain softening followed by yield and strain hardening,…

Soft Condensed Matter · Physics 2026-05-07 Valeriy V. Ginzburg , Oleg Gendelman , Alessio Zaccone

Modeling arbitrarily large deformations of surfaces smoothly embedded in three-dimensional space is challenging. The difficulties come from two aspects: the existing geometry processing or forward simulation methods penalize the difference…

Graphics · Computer Science 2022-08-10 Jiahao Wen , Bohan Wang , Jernej Barbič

We report a method for describing plasticity in a broad class of amorphous materials. The method is based on nonlinear (geometric) deformation theory allowing the separation of the plastic deformation from the general deformation tensor.…

Soft Condensed Matter · Physics 2007-05-23 Sergei F. Lyuksyutov , Ruslan A. Sharipov

We apply the well-established theoretical method developed for geometrical nonlinearities of micro/nano-mechanical clamped beams to circular drums. The calculation is performed under the same hypotheses, the extra difficulty being to…

Mesoscale and Nanoscale Physics · Physics 2020-09-25 D. Cattiaux , S. Kumar , X. Zhou , A. Fefferman , E. Collin

A simple analytical model of intergranular normal stresses is proposed for a general elastic polycrystalline material with arbitrary shaped and randomly oriented grains under uniform loading. The model provides algebraic expressions for the…

Materials Science · Physics 2023-04-21 Samir El Shawish , Timon Mede

A generalized line tension model has been developed to estimate the critical resolved shear stress in precipitation hardened alloys. The model is based in previous line tension models for regular arrays of either impenetrable or shearable…

Materials Science · Physics 2022-02-23 R. Santos-Güemes , J. Segurado , J. LLorca

Simulations are used to examine the microscopic origins of strain hardening in polymer glasses. While stress-strain curves for a wide range of temperature can be fit to the functional form predicted by entropic network models, many other…

Soft Condensed Matter · Physics 2009-11-13 Robert S. Hoy , Mark O. Robbins

In this short contribution we introduce a new procedure to recover the stress and strain fields for particle systems by mechanical models. Numerical tests for simple loading conditions have shown an excellent match between the estimated…

Computational Engineering, Finance, and Science · Computer Science 2021-04-21 Wenzhe Shan , Udo Nackenhorst

Disordered athermal biopolymer materials, such as collagen networks that constitute a major component in extracellular matrices and various connective tissues, are initially soft and compliant but stiffen dramatically under strain. Such…

Soft Condensed Matter · Physics 2025-09-19 Zibin Zhang , Eran Bouchbinder , Edan Lerner

Polyconvexity is one of the known conditions which guarantee existence of solutions of boundary value problems in finite elasticity. In this work we propose a framework for development of polyconvex strain energy functions for hyperelastic…

Materials Science · Physics 2007-05-23 N. Kambouchev , J. Fernandez , R. Radovitzky

We study theoretically the viscoelastic properties of sheared binary fluids that have strong dynamical asymmetry between the two components. The dynamical asymmetry arises due to asymmetry between the viscoelastic stresses, particularly the…

Soft Condensed Matter · Physics 2009-11-10 Vinay Dwivedi , Rajeev Ahluwalia , Turab Lookman , Avadh Saxena

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

A new semi-analytic model of the metal rolling process is introduced, which, for the first time, is able to predict the through-thickness stress and strain oscillations present in long thin roll-gaps. The model is based on multiple-scales…

Using molecular dynamics simulations, we study the transient response of a binary Lennard-Jones glass subjected to periodic shear deformation. The amorphous solid is modelled as the three-dimensional Kob-Andersen binary mixture at a low…

Soft Condensed Matter · Physics 2017-02-13 Nikolai V. Priezjev

We study the yielding transition of a two dimensional amorphous system under shear by using a mesoscopic elasto-plastic model. The model combines a full (tensorial) description of the elastic interactions in the system, and the possibility…

Materials Science · Physics 2017-08-23 E. A. Jagla

Molecular dynamics simulations are performed to examine the dynamic response of amorphous solids to oscillatory shear at finite temperatures. The data were collected from a poorly annealed binary glass, which was deformed periodically in…

Soft Condensed Matter · Physics 2017-11-21 Nikolai V. Priezjev

We propose a new method for carrying out field-theoretic simulations of polymer systems under conditions of prescribed external stress, allowing for shape changes in the simulation box. A compact expression for the deviatoric stress tensor…

Materials Science · Physics 2007-05-23 J. -L. Barrat , Glenn H. Fredrickson , Scott W Sides