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A polycrystalline solid is modelled as an ensemble of random irregular polyhedra filling the entire space occupied by the solid body, leaving no voids or flaws between them. Adjacent grains can slide with a relative velocity proportional to…

Materials Science · Physics 2025-11-03 Miguel Lagos

Stress-stress correlations in crystalline solids with long-range order can be straightforwardly derived using elasticity theory. In contrast, the `emergent elasticity' of amorphous solids, rigid materials characterized by an underlying…

Soft Condensed Matter · Physics 2025-07-04 Jimin Bai , Long-Zhou Huang , Jin Shang , Yun-Jiang Wang , Jie Zhang , Matteo Baggioli

Steady state plastic flows have been compared to developed turbulence because the two phenomena share the inherent complexity of particle trajectories, the scale free spatial patterns and the power law statistics of fluctuations. The origin…

Materials Science · Physics 2020-11-03 Oguz Umut Salman , Lev Truskinovsky

The thermodynamic theory of dislocation/grain boundary interaction, including dislocation pile-up against, absorption by, and transfer through the grain boundary, is developed for nonuniform plastic deformations in polycrystals. The case…

Materials Science · Physics 2022-03-14 Yinguang Piao , Khanh Chau Le

We conduct dislocation dynamics (DD) simulations of Fe periodic single crystals under tensile load at several high strain rates and temperatures. The simulations are enabled by the recent development of temperature-dependent dislocation…

Materials Science · Physics 2013-11-26 Meijie Tang , Jaime Marian

We investigate a specific finite element model to study the thermoelastic behavior of an elastic body within the context of nonlinear strain-limiting constitutive relation. As a special subclass of implicit relations, the thermoelastic…

Numerical Analysis · Mathematics 2022-03-02 Hyun C. Yoon , Karthik K. Vasudeva , S. M. Mallikarjunaiah

In this paper we explore a possibility that all transport turbulent models are contained in a coarse-grained kinetic equation. Building on a recent work by H.Chen et al (2004), we account for fluctuations of a single -point probability…

Cellular Automata and Lattice Gases · Physics 2007-07-05 Victor Yakhot

A theoretical and computational investigation is carried out of a dissipative model of rate-independent strain-gradient plasticity and its regularization. It is shown that the flow relation, when expressed in terms of the Cauchy stress, is…

Materials Science · Physics 2017-04-12 C Carstensen , F Ebobisse , AT McBride , BD Reddy , P Steinmann

Developing a macroscopic theory of elasto-plasticity in amorphous solids calls for (i) identifying the relevant macro state-variables and (ii) discriminating the different time-scales which characterize these variables. In current theories…

Statistical Mechanics · Physics 2009-11-25 Laurent Boue , Peter Harrowell , Smarajit Karmakar , Edan Lerner , Itamar Procaccia , Ido Regev , Jacques Zylberg

A deterministic theory describing the behavior of an ultrathin lubricant film between two atomically-smooth solid surfaces is proposed. For the description of lubricant state the parameter of excess volume arising due to chaotization of…

Statistical Mechanics · Physics 2011-03-30 I. A. Lyashenko , A. V. Khomenko , L. S. Metlov

The shear-transformation-zone (STZ) theory of plastic deformation in glass-forming materials is reformulated in light of recent progress in understanding the roles played the effective disorder temperature and entropy flow in nonequilibrium…

Materials Science · Physics 2009-11-13 J. S. Langer

The plastic flow of a polycrystal is analyzed assuming grains as fine that the rate limiting process is grain boundary sliding, and grains readily accommodate their shapes by slip to preserve spatial continuity. It is shown that thinking of…

Materials Science · Physics 2009-11-19 Miguel Lagos , César Retamal

We develop a theory for drying-induced stresses in sessile, poroelastic drops undergoing evaporation on rigid surfaces. Using a lubrication-like approximation, the governing equations of three-dimensional nonlinear poroelasticity are…

Soft Condensed Matter · Physics 2022-05-18 Matthew G. Hennessy , Richard V. Craster , Omar K. Matar

There have been some interesting recent advances in understanding the notion of mechanical disorder in structural glasses and the statistical mechanics of these systems' low-energy excitations. Here we contribute to these advances by…

Soft Condensed Matter · Physics 2024-01-23 Tommaso Pettinari , Gustavo Düring , Edan Lerner

The importance of accurate simulation of the plastic deformation of ductile metals to the design of structures and components is well-known. Many techniques exist that address the length scales relevant to deformation pro- cesses, including…

Materials Science · Physics 2016-08-16 Reese Jones , Jonathan Zimmerman , Giacomo Po

The existence of a well defined yield stress, where a macroscopic piece of crystal begins to plastically flow, has been one of the basic observations of materials science. In contrast to macroscopic samples, in micro- and nanocrystals the…

The standard way of modeling plasticity in polycrystals is by using the crystal plasticity model for single crystals in each grain, and imposing suitable traction and slip boundary conditions across grain boundaries. In this fashion, the…

Computational Physics · Physics 2017-06-07 Nikhil Chandra Admal , Giacomo Po , Jaime Marian

We study swelling and structural properties of ionic microgel suspensions within a comprehensive coarse-grained model that combines the polymeric and colloidal natures of microgels as permeable, compressible, charged spheres governed by…

Soft Condensed Matter · Physics 2018-06-07 Tyler J. Weyer , Alan R. Denton

A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by $\Gamma$-convergence. The discrete model here introduced is characterized by an energy with two contributions,…

Analysis of PDEs · Mathematics 2019-02-19 Leonard Kreutz , Paolo Piovano

Much of the progress achieved in understanding plasticity and failure in amorphous solids had been achieved using experiments and simulations in which the materials were loaded using strain control. There is paucity of results under stress…

Statistical Mechanics · Physics 2015-06-19 Vladimir Dailidonis , Valery Ilyin , Pankaj Mishra , Itamar Procaccia
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