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Randomly textured polycrystalline materials of constituents with highly anisotropic nature of grains can be considered globally isotropic. In order to determine the isotropic properties, like elasticity or conductivity, we propose a theory…

Materials Science · Physics 2018-12-07 Adam Takacs , Géza Tichy , Péter Dusán Ispánovity

Dislocation and grain boundary melting are studied in three dimensions using the Phase Field Crystal method. Isolated dislocations are found to melt radially outward from their core, as the localized excess elastic energy drives a power law…

Materials Science · Physics 2009-11-13 Joel Berry , K. R. Elder , Martin Grant

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…

Materials Science · Physics 2021-05-12 István Groma , Péter Dusán Ispánovity , Thomas Hochrainer

The effect of slip transfer on the deformation mechanisms of Al bicrystals was explored using a rate-dependent dislocation-based crystal plasticity model. Three different types of grain boundaries (GBs) were included in the model by…

Materials Science · Physics 2020-01-27 S. Haouala , R. Alizadeh , T. R. Bieler , J. Segurado , J. LLorca

A three-dimensional continuum dislocation theory for single crystals containing curved dislocations is proposed. A set of governing equations and boundary conditions is derived for the true placement, plastic slips, and loop functions in…

Materials Science · Physics 2015-06-12 Khanh Chau Le

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

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…

Mathematical Physics · Physics 2008-08-19 Adriana Garroni , Giovanni Leoni , Marcello Ponsiglione

The theory of the depinning transition of elastic manifolds in random media provides a framework for the statistical dynamics of dislocation systems at yield. We consider the case of a single flexible dislocation gliding through a random…

Materials Science · Physics 2007-05-23 Stefano Zapperi , Michael Zaiser

Dynamic recrystallization (DRX) is often observed in conjunction with adiabatic shear banding (ASB) in polycrystalline materials. The recrystallized nanograins in the shear band have few dislocations compared to the material outside of the…

Materials Science · Physics 2018-08-23 Charles K. C. Lieou , Curt A. Bronkhorst

Damage nucleation from repeated dislocation absorption at a grain boundary is simulated with molecular dynamics. At the grain boundary-dislocation intersection site, atomic shuffling events determine how the free volume brought by the…

Materials Science · Physics 2014-08-26 Zhiliang Pan , Timothy J. Rupert

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

We study the mechanisms of slip transfer at a grain boundary, in titanium, using Differential Aperture X-ray Laue Micro-diffraction (DAXM). This 3D characterization tool enables measurement of the full (9-component) Nye lattice curvature…

Materials Science · Physics 2020-12-08 Yi Guo , David M. Collins , Edmund Tarleton , Felix Hofmann , Angus J. Wilkinson , T. Ben Britton

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…

Materials Science · Physics 2020-01-14 Luchan Zhang , Yang Xiang

A multi-phase field model is employed to study the microstructural evolution of an alloy undergoing liquid dealloying. The model proposed extends upon the original approach of Geslin et al. to consider dealloying in the presence of grain…

Materials Science · Physics 2023-08-07 Nathan Bieberdorf , Mark D. Asta , Laurent Capolungo

It has recently become popular to analyze the behavior of excess dislocations in plastic deformation under the assumption that such dislocations are arranged into walls with periodic dislocation spacing along the wall direction. This…

Materials Science · Physics 2015-05-30 Michael Zaiser , Istvan Groma

A phase field model of a crystalline material at the mesoscale is introduced to develop the necessary theoretical framework to study plastic flow due to dislocation motion. We first obtain the elastic stress from the phase field free energy…

Materials Science · Physics 2018-03-07 Audun Skaugen , Luiza Angheluta , Jorge Viñals

The theory of the dislocation motion in the periodic potential relief of the crystal lattice (the Peierls-Nabarro barriers) is reviewed. On the basis of the kink mechanism the temperature dependence of the flow stress is described for a…

Pattern Formation and Solitons · Physics 2007-05-23 B. V. Petukhov

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,…

Disordered Systems and Neural Networks · Physics 2020-01-31 Henri Salmenjoki , Mikko J. Alava , Lasse Laurson

The theory of dislocation mediated plastic flow proposed by Langer, Bouchbinder, and Lookman is applied to compute the stress-strain curve of aluminum and aluminum alloys over a wide range of temperatures and strain rates. The comparison…

Materials Science · Physics 2017-02-07 Khanh Chau Le , Tuan Minh Tran

Dynamic shear banding under adiabatic conditions in a mesoscale polycrystalline aggregate is studied using a model of mesoscale dislocation mechanics and experiments. The model involves a length scale related to hardening induced by…