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We propose a model to study the plasticity of ice single crystals by numerical simulations. The model includes the long-range character of the interaction among dislocations, as well as the possibility of mutual annihilation of these line…

Statistical Mechanics · Physics 2007-05-23 M. -Carmen Miguel , Alessandro Vespignani , Stefano Zapperi

Predicting the behaviour of complex systems is one of the main goals of science. An important example is plastic deformation of micron-scale crystals, a process mediated by collective dynamics of dislocations, manifested as broadly…

Materials Science · Physics 2022-06-03 Marcin Mińkowski , David Kurunczi-Papp , Lasse Laurson

Dislocations in ductile ceramics offer the potential for robust mechanical performance while unlocking versatile functional properties. Previous studies have been limited by small volumes with dislocations and/or low dislocation densities…

Materials Science · Physics 2024-11-20 Oliver Preuß , Enrico Bruder , Jiawen Zhang , Wenjun Lu , Jürgen Rödel , Xufei Fang

Strain fields, dislocations and defects may be used to control electronic properties of graphene. By using advanced imaging techniques with high-resolution transmission electron microscopes, we have measured the strain and rotation fields…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 L. L. Bonilla , A. Carpio , C. Gong , J. H. Warner

We develop an efficient numerical method for calculating the image stress field induced by spherical voids in materials. The method is applied to dislocation-void interactions in dislocation dynamics simulations. We obtain a complete set of…

Computational Physics · Physics 2019-02-14 Yifan Wang , Xiaohan Zhang , Wei Cai

Deformation heterogeneities within microstructures of polycrystalline shape memory alloys (SMAs) during superelastic stressing are studied using both experiments and simulations. In situ X-ray diffraction, specifically the far-field high…

We isolate single Schallamach waves --- detachment fronts that mediate inhomogeneous sliding between an elastomer and a hard surface --- to study their creation and dynamics. Based on measurements of surface displacement using high-speed…

Materials Science · Physics 2016-11-25 Koushik Viswanathan , Anirban Mahato , Srinivasan Chandrasekar

Previous studies demonstrate that grain-boundary sliding could accelerate creep rate and give rise to large internal stresses that can lead to damage development, e.g. formation of wedge cracks. The present study provides more insight into…

Materials Science · Physics 2021-03-02 Markian Petkov , Elsiddig Elmukashfi , Edmund Tarleton , Alan C. F. Cocks

We study a one-dimensional model of a dislocation pileup driven by an external stress and interacting with random quenched disorder, focusing on predictability of the plastic deformation process. Upon quasistatically ramping up the…

Materials Science · Physics 2020-12-21 Mika Sarvilahti , Audun Skaugen , Lasse Laurson

We study experimentally the distribution of local stresses in a granular material confined inside a vertical cylinder. We use an image correlation technique to measure the displacement field of the container induced by the forces exerted by…

Soft Condensed Matter · Physics 2015-06-17 T. Cambau , J. Hure , J. Marthelot

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

The cross-slip process of a screw $<$a$>$ dislocation from the basal to the prismatic plane in magnesium was studied using the density functional theory and the molecular dynamics calculations. An atomistic method for calculating the total…

Materials Science · Physics 2015-06-12 M. Itakura , H. Kaburaki , M. Yamaguchi , T. Tsuru

Dislocations are at the heart of the plastic behavior of crystalline materials yet it is notoriously difficult to perform quantitative, non-intrusive, measurements of their single or collective properties. Dislocation density is a critical…

Materials Science · Physics 2012-08-31 Nicolás Mujica , María Teresa Cerda , Rodrigo Espinoza , Judit Lisoni , Fernando Lund

The stress profile and reorientation of grains, in response to a point force applied to a preloaded two dimensional granular system, are calculated in the context of a continuum theory that incorporates the texture of the packing. When high…

Soft Condensed Matter · Physics 2007-05-23 Rava da Silveira , Guillaume Vidalenc , Cyprien Gay

Characterizing the degeneracy of local stress states is a central challenge in obtaining the complete statistical mechanics of disordered media. Here, we introduce a minimal force-balance model for isolated granular clusters to probe the…

Soft Condensed Matter · Physics 2025-06-10 Aashish K. Gupta , Christopher Ness , Sina Haeri

We analyze transmission electron microscopy (TEM) images of self-assembled quasicrystals, composed of binary systems of nanoparticles. We use an automated procedure that identifies the positions of dislocations and determines their…

Materials Science · Physics 2012-11-16 Liron Korkidi , Kobi Barkan , Ron Lifshitz

We propose a mesoscopic model that explains the factor of two to three discrepancy between experimentally measured yield stresses of BCC metals at low temperatures and typical Peierls stresses determined by atomistic simulations of isolated…

Materials Science · Physics 2009-11-11 R. Groger , V. Vitek

A theoretical framework for computation of Burgers vectors from strain and lattice rotation data in materials with low dislocation density is presented, as well as implementation into a computer program to automate the process. The efficacy…

Materials Science · Physics 2025-03-11 Jacques Cloete , Edmund Tarleton , Felix Hofmann

This study undertakes the mathematical modelling and numerical analysis of dislocations within the framework of differential geometry. The fundamental configurations, i.e. reference, intermediate and current configurations, are expressed as…

Numerical Analysis · Mathematics 2022-05-09 Shunsuke Kobayashi , Ryuichi Tarumi

We study dislocation networks in the plane using the vectorial phase-field model introduced by Ortiz and coworkers, in the limit of small lattice spacing. We show that, in a scaling regime where the total length of the dislocations is…

Analysis of PDEs · Mathematics 2020-01-24 Sergio Conti , Adriana Garroni , Stefan Müller