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The thermodynamic dislocation theory developed for non-uniform plastic deformations is used here in an analysis of a bar subjected to torsion. Employing a small set of physics-based parameters, which we expect to be approximately…

Soft Condensed Matter · Physics 2019-01-02 K. C. Le , Y. Piao , T. M. Tran

The thermodynamic dislocation theory developed for non-uniform plastic deformations is used here to simulate the stress-strain curves for crystals subjected to anti-plane shear-controlled load reversal. We show that the presence of the…

Materials Science · Physics 2018-05-02 Khanh Chau Le , Tuan Minh Tran

The statistical-thermodynamic dislocation theory developed in previous papers is used here in an analysis of yielding transitions and grain-size effects in polycrystalline solids. Calculations are based on the 1995 experimental results of…

Materials Science · Physics 2017-03-29 J. S. Langer

The statistical-thermodynamic dislocation theory developed in previous papers is used here in an analysis of high-temperature deformation of aluminum and steel. Using physics-based parameters that we expect theoretically to be independent…

Materials Science · Physics 2017-07-19 K. C. Le , T. M. Tran , J. S. Langer

We show that the thermodynamic dislocation theory (TDT) predicts a scaling relation between stresses, strain rates, and temperatures for steady-state deformations of crystalline solids, and that this relation is accurately obeyed by a wide…

Materials Science · Physics 2020-12-30 J. S. Langer , K. C. Le

We reformulate the theory of polycrystalline plasticity, in externally driven, nonequilibrium situations, by writing equations of motion for the flow of energy and entropy associated with dislocations. Within this general framework, and…

Materials Science · Physics 2010-01-21 J. S. Langer , Eran Bouchbinder , Turab Lookman

A simple extension of the thermodynamic dislocation theory to non-uniform plastic deformations is proposed for an analysis of high-temperature torsion of aluminum bars. Employing a small set of physics-based parameters, which we expect to…

Soft Condensed Matter · Physics 2018-11-29 Khanh Chau Le , Yinguang Piao

The thermodynamic theory of dislocation-enabled plasticity is based on two unconventional hypotheses. The first of these is that a system of dislocations, driven by external forces and irreversibly exchanging heat with its environment, must…

Materials Science · Physics 2017-12-06 J. S. Langer

As an extension to strain-gradient models of size-dependent plastic behaviour, this work proposes a model for a stress-gradient theory. The model is distinguished from earlier works on the topic by its being embedded in a thermodynamically…

Materials Science · Physics 2020-12-30 B. D. Reddy , P. Steinmann , A. Kergassner

The thermodynamic dislocation theory presented in preceding papers is used here to describe shear-banding instabilities. Central ingredients of the theory are a thermodynamically defined effective configurational temperature, and a formula…

Materials Science · Physics 2016-12-02 J. S. Langer

The mechanical behaviors of polycrystalline solids are determined by the interplay between phenomena governed by two different thermodynamic temperatures: the configurational effective temperature that controls the density of dislocations,…

Materials Science · Physics 2016-12-28 J. S. Langer

The present paper extends the thermodynamic dislocation theory developed by Langer, Bouchbinder, and Lookmann to non-uniform plastic deformations. The free energy density as well as the positive definite dissipation function are proposed.…

Materials Science · Physics 2020-03-30 Khanh Chau Le

Results of recent large-scale molecular dynamics simulations of dislocation-mediated solid plasticity are campared with predictions of the statistical thermodynamic theory of these phenomena. These computational and theoretical analyses are…

Materials Science · Physics 2018-09-12 J. S. Langer

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

When Chen et al. (2015, Acta Mater. 87, 78-85) investigated the deformation behavior of oligocrystalline gold microwires with varying diameters in both uniaxial tension and torsion, contrary size effects were observed for the different load…

Materials Science · Physics 2016-06-08 E. Bayerschen , A. Prahs , S. Wulfinghoff , M. Ziemann , P. A. Gruber , M. Walter , T. Böhlke

Starting from the assumption that all possible orientations of grains are equally probable, we prove that the geometric factor of thermodynamic dislocation theory for polycrystals subjected to axially symmetric tension or compression must…

Materials Science · Physics 2020-03-30 Tuan Minh Tran , Khanh Chau Le , Thi Hoa Le

By using molecular dynamics simulations, the research examine how copper and silver nanowires respond to tensile loading in order to clarify their nanoscale deformation mechanisms. The results demonstrate that these two metal nanowires…

Materials Science · Physics 2025-05-02 Xiaorui Hu , Jiawei Xiong

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

Size-dependence of plastic flow is studied by discrete dislocation dynamical simulation of systems with various numbers of interacting linear edge dislocations while the stress is slowly increased. Regions between avalanches in the…

Materials Science · Physics 2015-03-05 Peter Szabo , Peter Dusan Ispanovity , Istvan Groma

In this paper, a consistent theory is developed for size-dependent piezoelectricity in dielectric solids. This theory shows that electric polarization can be generated as the result of coupling to the mean curvature tensor, unlike previous…

General Physics · Physics 2013-05-15 Ali R. Hadjesfandiari
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