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This paper presents a theory for the behaviour of isotropic-hardening/softening elastoplastic materials that do not have a preferred reference configuration. In spite of important differences, many ingredients of classical plasticity are…

Mathematical Physics · Physics 2011-01-11 José Jorge Nader

We use molecular dynamics to show that plastic slip is a crucial component of the transformation mechanism of a square-to-triangular structural transition. The latter is a stylized analog of many other reconstructive phase transitions. To…

Materials Science · Physics 2025-07-24 Kanka Ghosh , Oguz Umut Salman , Sylvain Queyreau , Lev Truskinovsky

Using numerical simulations, we study the dynamical evolution of particles interacting via competing long-range repulsion and short-range attraction in two dimensions. The particles are compressed using a time-dependent quasi-one…

Soft Condensed Matter · Physics 2017-12-06 D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

The distribution of local residual stresses (threshold to instability) that controls the statistical properties of plastic flow in athermal amorphous solids is examined with an atomistic simulation technique. For quiescent configurations,…

Disordered Systems and Neural Networks · Physics 2020-07-02 Céline Ruscher , Jörg Rottler

We study the linear stability of Plane Poiseuille flow of an elastoviscoplastic fluid using a revised version of the model proposed by Putz and Burghelea (Rheol. Acta (2009)48:673-689). The evolution of the microstructure upon a gradual…

Fluid Dynamics · Physics 2015-11-30 Miguel Moyers-Gonzalez , Teodor Burghelea , Julian Mak

Traditionally, the deformation of continuum is divided into elastic, plastic, and flow. For a large deformation with cracking, they are combined together. So, for complicated deformation, a formulation to express the evolution of…

Classical Physics · Physics 2007-05-23 Jianhua Xiao

We present an analytical model to investigate the mechanics of 2-dimensional lattices composed of elastic beams of non-uniform cross-section. Our approach is based on reducing a lattice to a single beam subject to the action of a set of…

Soft Condensed Matter · Physics 2016-02-22 Daniel J. Rayneau-Kirkhope , Marcelo A. Dias

When stressed sufficiently, solid materials yield and deform plastically via reorganization of microscopic constituents. Indeed, it is possible to alter the micro-structure of materials by judicious application of stress, an empirical pro-…

Soft Condensed Matter · Physics 2021-08-09 K. L. Galloway , Xiaoguang Ma , Nathan C. Keim , Douglas J. Jerolmack , Arjun G. Yodh , Paulo E. Arratia

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

We use the shear transformation zone (STZ) theory of dynamic plasticity to study the necking instability in a two-dimensional strip of amorphous solid. Our Eulerian description of large-scale deformation allows us to follow the instability…

Materials Science · Physics 2007-05-23 L. O. Eastgate , J. S. Langer , L. Pechenik

The art of making structural, polymeric and metallic glasses is rapidly developing with many applications. A limitation to their use is their mechanical stability: under increasing external strain all amorphous solids respond elastically to…

Soft Condensed Matter · Physics 2015-05-19 Smarajit Karmakar , Edan Lerner , Itamar Procaccia

In the present paper a plastic-damage model for concrete is discussed. Based on the fact that for isotropic materials the elastic trial stress and the projected plastic stress states have the same eigenvec-tors, the loading surface is…

Materials Science · Physics 2007-05-23 Sergey Ananiev , Josko Ozbolt

A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening) elastic foundation may cause the response to become…

Pattern Formation and Solitons · Physics 2016-03-18 M. Khurram Wadee , David J. B. Lloyd , Andrew P. Bassom

Atomistic deformation simulations in the nominally elastic regime are performed for a model binary glass with strain rates as low as $10^{4}$/sec (corresponding to 0.01 shear strain per 1$\mu$sec). A robust elasticity is revealed that…

Soft Condensed Matter · Physics 2020-11-21 P. M. Derlet , R. Maass

A field theory is presented for predicting damage and fracture in quasi brittle materials incorporating effects of irreversible (plastic) deformation as well as elastic moduli that soften with damage. The new observation made here is that…

Materials Science · Physics 2026-03-17 Hayden Bromley , Robert Lipton

The plasticity transition at the yield strength of a crystal typically signifies the tendency of dislocation defects towards relatively unrestricted motion. For an isolated dislocation the motion is in the slip plane with velocity…

Materials Science · Physics 2020-01-15 Péter Dusán Ispánovity , Stefanos Papanikolaou , István Groma

Compressive mechanical stress exceeding a critical value leads to the formation of periodic surface buckling patterns in film-substrate systems. A comprehensive understanding of this buckling phenomenon is desired in applications where the…

Materials Science · Physics 2025-02-20 Wenqing Zhu

Plastic deformation in solids induced by external shear stress is of huge practical interest. Presence of local crystalline order in polycrystals, consisting of many grains, distinguishes its deformation pattern from that of amorphous…

Soft Condensed Matter · Physics 2013-03-07 Santidan Biswas , Martin Grant , Indradev Samajdar , Arunansu Haldar , Anirban Sain

The onset of irreversible deformation in low-temperature amorphous solids is due to the accumulation of elementary events, consisting of spacially and temporally localized atomic rearrangements involving only a few tens of atoms. Recently,…

Soft Condensed Matter · Physics 2016-10-12 Francesco Puosi , Joerg Rottler , Jean-Louis Barrat

The plastic flow of a foam results from bubble rearrangements. We study their occurrence in experiments where a foam is forced to flow in 2D: around an obstacle; through a narrow hole; or sheared between rotating disks. We describe their…

Soft Condensed Matter · Physics 2008-01-08 Philippe Marmottant , Christophe Raufaste , François Graner