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Related papers: Discrete defect plasticity and implications for di…

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Dislocations are the carriers of plasticity in crystalline materials. Their collective interaction behavior is dependent on the strain rate and sample size. In small specimens, details of the nucleation process are of particular importance.…

Materials Science · Physics 2020-11-05 Jianqiao Hu , Hengxu Song , Zhanli Liu , Zhuo Zhuang , Xiaoming Liu , Stefan Sandfeld

During plastic deformation, metals change shape while continuously becoming stronger. The microscopic origin of these processes lies in the proliferation and movement of line defects, dislocations, and the subsequent self-organisation and…

We give a bird's-eye view of the plastic deformation of crystals aimed at the statistical physics community, and a broad introduction into the statistical theories of forced rigid systems aimed at the plasticity community. Memory effects in…

The shapes of epithelial tissues result from a complex interplay of contractile forces in the cytoskeleta of the cells in the tissue, and adhesion forces between them. A host of discrete, cell-based models describe these forces by assigning…

Soft Condensed Matter · Physics 2019-02-27 Pierra A. Haas , Raymond E. Goldstein

On microscopic and mesoscopic scales, plastic flow of crystals is characterized by large intrinsic fluctuations. Deformation by crystallographic slip occurs in a sequence of intermittent bursts ('slip avalanches') with power-law size…

Materials Science · Physics 2009-11-11 Michael Zaiser , Paolo Moretti

In an attempt to bridge the gap between atomistic and continuum plasticity simulations of hydrogen in iron, we present three dimensional discrete dislocation plasticity simulations incorporating the hydrogen elastic stress and a hydrogen…

Materials Science · Physics 2019-06-10 Haiyang Yu , Alan Cocks , Edmund Tarleton

The universality class of the avalanche behavior in plastically deforming crystalline and amorphous systems has been commonly discussed, despite the fact that the microscopic defect character in each of these systems is different. In…

Materials Science · Physics 2019-05-08 Hengxu Song , Dennis Dimiduk , Stefanos Papanikolaou

We present a nonlinear, geometrically exact, and thermodynamically consistent framework for modeling special Cosserat rods with evolving natural configurations. In contrast to the common usage of the point-wise Clausius-Duhem inequality to…

Mathematical Physics · Physics 2023-04-11 K. R. Rajagopal , C. Rodriguez

The velocity of dislocations is derived analytically to incorporate and predict the intriguing effects induced by the preferential solute segregation and Cottrell atmospheres in both two-dimensional and three-dimensional binary systems of…

Materials Science · Physics 2021-05-14 Marco Salvalaglio , Axel Voigt , Zhi-Feng Huang , Ken R. Elder

A unified classification framework for models of extended plasticity is presented. The models include well known micromorphic and strain gradient plasticity formulations. A unified treatment is possible due to the representation of strain…

Soft Condensed Matter · Physics 2018-08-01 Andrew McBride , B. Daya Reddy , Paul Steinmann

A method for solving three dimensional discrete dislocation plasticity boundary-value problems using a monopole representation of the dislocations is presented. At each time step, the displacement, strain and stress fields in a finite body…

Computational Engineering, Finance, and Science · Computer Science 2024-06-06 A. Cruzado , M. P. Ariza , A. Needleman , M. Ortiz , A. A. Benzerga

Dimension reduction procedure is the recipe to represent defects in two dimensional dislocation dynamics according to the changes in the geometrical properties of the defects triggered by different conditions such as radiation, high…

Materials Science · Physics 2015-01-30 Ahmet Ilker Topuz

We study the dynamics of topological defects in continuum theories governed by a free energy minimization principle, building on our recently developed framework [Romano J, Mahault B and Golestanian R 2023 J. Stat. Mech.: Theory Exp.…

Soft Condensed Matter · Physics 2024-02-26 Jacopo Romano , Benoît Mahault , Ramin Golestanian

The presence of interfaces and grain boundaries significantly impacts the mechanical properties of materials, particularly when dealing with micro- or nano-scale samples. Distinct interactions between dislocations and grain boundaries can…

Materials Science · Physics 2025-05-08 Jinxin Yu , Alfonso H. W. Ngan , David J. Srolovitzb , Jian Hana

In the present work, the overall nonlinear elastic behavior of a 1D multi-modular structure incorporating possible imperfections at the discrete (micro-scale) level, is derived with respect to both tensile and compressive applied loads. The…

Soft Condensed Matter · Physics 2019-04-10 S. Palumbo , L. Deseri , D. R. Owen , M. Fraldi

A novel, concurrent multiscale approach to meso/macroscale plasticity is demonstrated. It utilizes a carefully designed coupling of a partial differential equation (pde) based theory of dislocation mediated crystal plasticity with…

Computational Engineering, Finance, and Science · Computer Science 2020-07-15 Sabyasachi Chatterjee , Giacomo Po , Xiaohan Zhang , Amit Acharya , Nasr Ghoniem

The present paper studies non-uniform plastic deformations of crystals undergoing anti-plane constrained shear. The asymptotically exact energy density of crystals containing a moderately large density of excess dislocations is found by the…

Materials Science · Physics 2018-01-17 Khanh Chau Le , Yinguang Piao

In this paper we analyze an isothermal and isotropic model for viscoelastic media combining linearized perfect plasticity (allowing for concentration of plastic strain and development of shear bands) and damage effects in a dynamic setting.…

Analysis of PDEs · Mathematics 2019-04-04 Elisa Davoli , Tomáš Roubíček , Ulisse Stefanelli

Linear complexions are stable defect states, where the stress field associated with a dislocation induces a local phase transformation that remains restricted to nanoscale dimensions. As these complexions are born at the defects which…

Materials Science · Physics 2023-10-12 Divya Singh , Daniel S. Gianola , Timothy J. Rupert

Typically, the plastic yield stress of a sample is determined from a stress-strain curve by defining a yield strain and reading off the stress required to attain it. However, it is not a priori clear that yield strengths of microscale…

Soft Condensed Matter · Physics 2013-04-22 Zoe Budrikis , Stefano Zapperi