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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…

材料科学 · 物理学 2018-05-02 Khanh Chau Le , Tuan Minh Tran

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.…

材料科学 · 物理学 2020-03-30 Khanh Chau Le

Stressed dislocation pattern formation in crystal plasticity at finite deformation is demonstrated for the first time. Size effects are also demonstrated within the same mathematical model. The model involves two extra material parameters…

材料科学 · 物理学 2018-12-04 Rajat Arora , Amit Acharya

Plastic deformation of micron-scale crystalline solids exhibits stress-strain curves with significant sample-to-sample variations. It is a pertinent question if this variability is purely random or to some extent predictable. Here we show,…

无序系统与神经网络 · 物理学 2020-01-31 Henri Salmenjoki , Mikko J. Alava , Lasse Laurson

The viscoplastic deformation (creep) of crystalline materials under constant stress involves the motion of a large number of interacting dislocations. Analytical methods and sophisticated `dislocation-dynamics' simulations have proved very…

The dislocation microstructure developing during plastic deformation strongly influences the stress-strain properties of crystalline materials. The novel method of high resolution electron backscatter diffraction (HR-EBSD) offers a new…

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…

软凝聚态物质 · 物理学 2019-01-02 K. C. Le , Y. Piao , T. M. Tran

The dynamics and thermodynamics of dislocated crystals are studied within the framework of the nonlinear theory of elastic and plastic deformations.

材料科学 · 物理学 2007-05-23 Ruslan Sharipov

Anti-plane shear deformations of a hexagonal quasi-crystal with multiple screw dislocations are considered. Using a variational formulation, the elastic equilibrium is characterized via limit of minimizers of a core-regularized energy…

偏微分方程分析 · 数学 2016-12-09 Lei Wu

This work introduces a model for large-strain, geometrically nonlinear elasto-plastic dynamics in single crystals. The key feature of our model is that the plastic dynamics are entirely driven by the movement of dislocations, that is,…

材料科学 · 物理学 2022-02-11 Thomas Hudson , Filip Rindler

Deformation band patterning in single crystals is investigated using a finite strain crystal viscoplasticity model based on the evolution of dislocation densities. In the presence of strong latent hardening and weak rate dependence, the…

材料科学 · 物理学 2025-07-02 Jean-Michel Scherer

Nanoindentation techniques recently developed to measure the mechanical response of crystals under external loading conditions reveal new phenomena upon decreasing sample size below the microscale. At small length scales, material…

材料科学 · 物理学 2015-03-18 Paolo Moretti , Benedetta Cerruti , M. -Carmen Miguel

Within the continuum dislocation theory the asymptotic analysis of the plane strain crack problem for a single crystal having only one active slip system on each half-plane is provided. The results of this asymptotic analysis show that the…

材料科学 · 物理学 2015-08-17 Khanh Chau Le , Van Nha Tran

We develop a model for the gliding of dislocations and plasticity in solid He-4. This model takes into account the Peierls barrier, multiplication and interaction of dislocations, as well as classical thermally and mechanically activated…

In this study, we use discrete dislocation dynamics (DDD) simulation to investigate the effect of heterogeneous dislocation density on the transition between quasi-elastic deformation and plastic flow in face-centered cubic single crystals.…

材料科学 · 物理学 2019-07-24 Xu Zhang , Jian Xiong , Haidong Fan , Michael Zaiser

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…

材料科学 · 物理学 2010-01-21 J. S. Langer , Eran Bouchbinder , Turab Lookman

In this paper, we deduce a macroscopic strain gradient theory for plasticity from a model of discrete dislocations. We restrict our analysis to the case of a cylindrical symmetry for the crystal in exam, so that the mathematical formulation…

数学物理 · 物理学 2008-08-19 Adriana Garroni , Giovanni Leoni , Marcello Ponsiglione

Whereas disclination defects are energetically prohibitive in two-dimensional flat crystals, their existence is necessary in crystals with spherical topology, such as viral capsids, colloidosomes or fullerenes. Such a geometrical…

软凝聚态物质 · 物理学 2020-07-01 Ireth García-Aguilar , Piermarco Fonda , Luca Giomi

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…

材料科学 · 物理学 2015-03-05 Peter Szabo , Peter Dusan Ispanovity , Istvan Groma

When an amorphous solid is deformed homogeneously, the response exhibits heterogeneous plastic instabilities with localized cooperative rearrangement of cluster of particles. The heterogeneous behavior plays an important role in deciding…

软凝聚态物质 · 物理学 2022-01-31 Meenakshi L , Bhaskar Sen Gupta
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