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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…

材料科学 · 物理学 2015-06-12 Khanh Chau Le

This paper studies the plane constrained shear problem for single crystals having one active slip system and subjected to loading in both directions within the small strain thermodynamic dislocation theory proposed by Le (2018). The…

材料科学 · 物理学 2021-05-19 Fabian Günther , Khanh Chau Le

We perform via $\Gamma$-convergence a 2d-1d dimension reduction analysis of a single-slip elastoplastic body in large deformations. Rigid plastic and elastoplastic regimes are considered. In particular, we show that limit deformations can…

偏微分方程分析 · 数学 2023-09-13 Dominik Engl , Stefan Krömer , Martin Kružík

Due to recent successes of a statistical-based nonlocal continuum crystal plasticity theory for single-glide in explaining various aspects such as dislocation patterning and size-dependent plasticity, several attempts have been made to…

统计力学 · 物理学 2009-11-13 Surachate Limkumnerd , Erik Van de Giessen

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

Based on the atomistic studies presented in Part I we develop analytical yield criteria for single crystals that capture the effect of shear stresses other than the Schmid stress (non-glide stresses) on the shear stress needed for…

材料科学 · 物理学 2008-07-18 R. Gröger , V. Racherla , J. L. Bassani , V. Vitek

Consideration is given to a non-convex variational model for a shear experiment in the framework of single-crystal linearised plasticity with infinite cross-hardening. The rectangular shear sample is clamped at each end, and is subjected to…

偏微分方程分析 · 数学 2015-06-15 Keith Anguige , Patrick Dondl

All yield criteria that determine the onset of plastic deformation in crystalline materials must be invariant under the inversion symmetry associated with a simultaneous change of sign of the slip direction and the slip plane normal. We…

材料科学 · 物理学 2021-08-03 Roman Gröger

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

Experimental measurements of the response of a two dimensional system of plastic beads subjected to steady shear are reported. The beads float at the surface of a fluid substrate and are subjected to a slow, steady-shear in a Couette…

软凝聚态物质 · 物理学 2007-05-23 Michael Twardos , Michael Dennin

Continuum models of plasticity fail to capture the richness of microstructural evolution because the continuum is a homogeneous construction. The present study shows that an alternative way is available at the mesoscale in the form of truly…

材料科学 · 物理学 2025-10-01 Afonso D. M. Barroso , Elijah Borodin , Andrey P. Jivkov

Recently it was proposed to apply a bent single crystal with decreasing curvature instead of uniform bending for improvement of extraction and collimation of a circulating beam in particle accelerators. In the given paper created crystal…

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

We study the growth of slip line in a plastically deforming crystal by numerical simulation of a double-ended pile-up model with a dislocation source at one end, and an absorbing wall at the other end. In presence of defects, the pile-up…

统计力学 · 物理学 2009-03-19 Fabio Leoni , Stefano Zapperi

We study the yielding transition of a two dimensional amorphous system under shear by using a mesoscopic elasto-plastic model. The model combines a full (tensorial) description of the elastic interactions in the system, and the possibility…

材料科学 · 物理学 2017-08-23 E. A. Jagla

We study numerically the yielding transition of a two dimensional model glass subjected to athermal quasi-static cyclic shear deformation, with the aim of investigating the effect on the yielding behaviour of the degree of annealing, which…

软凝聚态物质 · 物理学 2022-03-02 Himangsu Bhaumik , Giuseppe Foffi , Srikanth Sastry

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

Plastic deformation mediated by collective dislocation dynamics is investigated in the two-dimensional phase-field crystal model of sheared single crystals. We find that intermittent fluctuations in the dislocation population number…

材料科学 · 物理学 2015-01-05 Jens M. Tarp , Luiza Angheluta , Joachim Mathiesen , Nigel Goldenfeld

For the contact of two finite portions of interacting rigid crystalline surfaces, we compute the dependence of the pinning energy barrier on the misfit angle and contact area. The resulting data are used to investigate the distribution of…

统计力学 · 物理学 2011-07-19 Nicola Manini , O. M. Braun

We consider the motion of a fluid-immersed negatively buoyant particle in the vicinity of a thin compressible elastic wall, a situation that arises in a variety of technological and natural settings. We use scaling arguments to establish…

软凝聚态物质 · 物理学 2015-10-28 Thomas Salez , L. Mahadevan
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