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In this paper, we present a continuum model for the dynamics of low angle grain boundaries in two dimensions based on the motion of constituent dislocations of the grain boundaries. The continuum model consists of an equation for the motion…

材料科学 · 物理学 2018-06-13 Luchan Zhang , Yang Xiang

A continuum model of the two dimensional low angle grain boundary motion and the dislocation structure evolution on the grain boundaries has been developed in Ref. [48]. The model is based on the motion and reaction of the constituent…

材料科学 · 物理学 2020-01-14 Luchan Zhang , Yang Xiang

Low-angle grain boundaries (LAGBs) are often regarded as penetrable interfaces to dislocation motion, yet recent studies suggest they can also act as strong barriers. The origin of this duality remains debated, particularly regarding the…

材料科学 · 物理学 2025-10-02 Shuai Zhang , Zhishun Chen , Zhuoming Xie , Jun Song , Huiqiu Deng , Wangyu Hu , Jie Hou

We study a continuum model of dislocation transport in order to investigate the formation of heterogeneous dislocation patterns. We propose a physical mechanism which relates the formation of heterogeneous patterns to the dynamics of a…

材料科学 · 物理学 2018-08-29 Ronghai Wu , Daniel Tüzes , Péter Dusán Ispánovity , István Groma , Michael Zaiser

In this paper a geometric field theory of dislocation dynamics and finite plasticity in single crystals is formulated. Starting from the multiplicative decomposition of the deformation gradient into elastic and plastic parts, we use…

材料科学 · 物理学 2023-08-02 Fabio Sozio , Arash Yavari

A phenomenological model of the evolution of an ensemble of interacting dislocations in an isotropic elastic medium is formulated. The line-defect microstructure is described in terms of a spatially coarse-grained order parameter, the…

mtrl-th · 物理学 2009-10-30 J. M. Rickman , Jorge Vinals

To develop a dislocation-based statistical continuum theory of crystal plasticity is a major challenge of materials science.During the last two decades such a theory has been developed for the time evolution of a system of parallel edge…

材料科学 · 物理学 2021-05-12 István Groma , Péter Dusán Ispánovity , Thomas Hochrainer

Dislocations are topological defects known to be crucial in the onset of plasticity and in many properties of crystals. Classical Elasticity still fails to fully explain their dynamics under extreme conditions of high strain gradients and…

软凝聚态物质 · 物理学 2021-01-05 P. C. N. Pereira , S. W. S. Apolinario

Topological defects play an important role in physics of elastic media and liquid crystals. Their kinematics is determined by constraints of topological origin. An example is the glide motion of dislocations which has been extensively…

强关联电子 · 物理学 2008-02-11 V. Cvetkovic , Z. Nussinov , J. Zaanen

Dislocation based modeling of plasticity is one of the central challenges at the crossover of materials science and continuum mechanics. Developing a continuum theory of dislocations requires the solution of two long standing problems: (i)…

材料科学 · 物理学 2016-06-29 Thomas Hochrainer

Progress toward a first-principles theory of plasticity and work-hardening is currently impeded by an insufficient picture of dislocation kinetics (the dynamic effect of driving forces in a given dislocation theory). This is because present…

材料科学 · 物理学 2024-02-13 Joseph Pierre Anderson , Anter El-Azab

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

The dynamics of dislocation assemblies in deforming crystals indicate the emergence of collective phenomena, intermittent fluctuations and strain avalanches. In polycrystalline materials, the understanding of plastic deformation mechanisms…

材料科学 · 物理学 2009-11-13 Paolo Moretti , Lasse Laurson , Mikko J. Alava

As a guide to constitutive specification, driving forces for dislocation velocity and nucleation rates are derived for a field theory of dislocation mechanics. A condition of closure for the theory in the form of a boundary condition for…

材料科学 · 物理学 2016-08-31 Amit Acharya

Plastic deformation of crystals is a physical phenomenon, which has immensely driven the development of human civilisation since the onset of the Chalcolithic period. This process is primarily governed by the motion of line defects, called…

材料科学 · 物理学 2009-07-15 A. Dutta , M. Bhattacharya , P. Mukherjee , N. Gayathri , G. C. Das , P. Barat

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…

材料科学 · 物理学 2020-01-15 Péter Dusán Ispánovity , Stefanos Papanikolaou , István Groma

The continuum mechanics of line defects representing singularities due to terminating discontinuities of the elastic displacement and its gradient field is developed. The development is intended for application to coupled phase…

材料科学 · 物理学 2016-03-09 Amit Acharya , Claude Fressenegeas

Dislocation jogs have strong effects on dislocation motion that governs the strain-hardening behavior of crystalline solids, but how to properly account for their effect in mesoscale models remains poorly understood. We develop a mobility…

材料科学 · 物理学 2025-09-09 Wu-Rong Jian , Yifan Wang , Wei Cai

We introduce a phenomenological theory of dislocation motion appropriate for two dimensional lattices. A coarse grained description is proposed that involves as primitive variables local lattice rotation and Burgers vector densities along…

材料科学 · 物理学 2016-02-02 Brent Perreault , Jorge Vinals , Jeffrey M. Rickman

The slip behavior of dislocations and grain boundaries critically governs recrystallization and plastic deformation in Mg alloys and can be strongly influenced by solutes. However, the quantitative effects of solute distribution on defect…

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