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In crystal plasticity finite element (CPFE) simulations, accurately quantifying geometrically necessary dislocations (GNDs) is critical for capturing strain gradients in polycrystals. We compare different methods for quantifying GNDs, all…

Materials Science · Physics 2026-01-28 Michael Pilipchuk , Chaitali Patil , Veera Sundararaghavan

The common practice of ignoring the elastic strain gradient in measurements of geometrically necessary dislocation (GND) density is critically examined. It is concluded that the practice may result in substantial errors. Our analysis points…

Materials Science · Physics 2013-01-08 Amit Acharya , Robin J. Knops

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

Mechanical testing of micropillars is a field that involves new physics, as the behaviour of materials is non-deterministic at this scale. To better understand their deformation mechanisms we applied 3-dimensional high angular resolution…

The static stress needed to depin a 2D edge dislocation, the lower dynamic stress needed to keep it moving, its velocity and displacement vector profile are calculated from first principles. We use a simplified discrete model whose far…

Materials Science · Physics 2009-11-10 A. Carpio , L. L. Bonilla

It was recently shown that vortex-like topological defects with negative winding number in the vibrational modes of a two-dimensional glass under quasistatic shear correlate strongly with plastic events, offering a promising route to…

Soft Condensed Matter · Physics 2025-12-16 Long-Zhou Huang , Xu Yang , Min-Qiang Jiang , Yun-Jiang Wang , Matteo Baggioli

The importance of accurate simulation of the plastic deformation of ductile metals to the design of structures and components is well-known. Many techniques exist that address the length scales relevant to deformation pro- cesses, including…

Materials Science · Physics 2016-08-16 Reese Jones , Jonathan Zimmerman , Giacomo Po

We investigate the influence of gradient-enhanced dislocation hardening on the mechanics of notch-induced failure. The role of geometrically necessary dislocations (GNDs) in enhancing cracking is assessed by means of a mechanism-based…

Materials Science · Physics 2017-11-21 Emilio Martínez-Pañeda , Susana del Busto , Covadonga Betegón

Plastic inhomogeneity, particularly localised strain, is one of the main mechanisms responsible for failures in engineering alloys. This work studied the spatial arrangement and distribution of microstructure and their influence in the…

Materials Science · Physics 2023-03-21 Jalal Al-Lami , Thibaut Dessolier , Talha Pirzada , Minh-Son Pham

Discrete dislocation dynamics (DDD) is a widely employed computational method to study plasticity at the mesoscale that connects the motion of dislocation lines to the macroscopic response of crystalline materials. However, the…

Materials Science · Physics 2023-05-24 Nicolas Bertin , Fei Zhou

In this work, distortion gradient plasticity is used to gain insight into material deformation ahead of a crack tip. This also constitutes the first fracture mechanics analysis of gradient plasticity theories adopting Nye's tensor as primal…

Materials Science · Physics 2020-08-11 S. Fuentes-Alonso , E. Martínez-Pañeda

This work proposes a dislocation density-based strain gradient $J_2$ plasticity framework that models the strength contribution due to Geometrically Necessary Dislocations (GNDs) using a lower order, Taylor hardening backstress model. An…

Materials Science · Physics 2022-05-04 Anirban Patra , Namit Pai , Parhitosh Sharma

In metals geometrically necessary dislocations (GNDs) are generated primarily to accommodate strain gradients and they play a key role in the Bauschinger effect, strain hardening, micron-scale size effects and fatigue. During bending large…

In this study, we use the mechanism-based strain gradient plasticity theory to evaluate both crack tip dislocation density behaviour and the coupled effect of the material plastic properties and the intrinsic material length on non-linear…

Applied Physics · Physics 2021-10-19 V. Shlyannikov , E. Martínez-Pañeda , A. Tumanov , R. Khamidullin

Dislocation patterning and self-organization during plastic deformation are associated with work hardening, but the exact mechanisms remain elusive. This is partly because studies of the structure and local strain during the initial stages…

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…

Displacement estimation is very important in ultrasound elastography and failing to estimate displacement correctly results in failure in generating strain images. As conventional ultrasound elastography techniques suffer from decorrelation…

Image and Video Processing · Electrical Eng. & Systems 2019-04-25 Md. Golam Kibria , Hassan Rivaz

Solids with spatial variations in the crystalline axes naturally evolve into cells or grains separated by sharp walls. Such variations are mathematically described using the Nye dislocation density tensor. At high temperatures,…

Materials Science · Physics 2009-11-11 Surachate Limkumnerd , James P. Sethna

The yield surface in crystal plasticity can be approached from various directions during mechanical loading. We consider the competition between nanoindentation and tensile loading towards plastic yielding. For this purpose, we develop a…

Materials Science · Physics 2017-07-14 Hengxu Song , Hakan Yavas , Erik Van der Giessen , Stefanos Papanikolaou

Continuum dislocation dynamics (CDD) represents the evolution of systems of curved and connected dislocation lines in terms of density-like field variables which include the volume density of loops (or 'curvature density') as an additional…

Materials Science · Physics 2023-01-04 Xi Luo , Michael Zaiser
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