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Crystal plasticity is mediated through dislocations, which form knotted configurations in a complex energy landscape. Once they disentangle and move, they may also be impeded by permanent obstacles with finite energy barriers or frustrating…

Materials Science · Physics 2018-01-17 Stefanos Papanikolaou , Yinan Cui , Nasr Ghoniem

Dislocation pinning plays a vital role in the plastic behaviour of a crystalline solid. Here we report the first observation of the damped oscillations of a mobile dislocation after it gets pinned at an obstacle in the presence of a…

Materials Science · Physics 2010-12-24 M. Bhattacharya , A. Dutta , P. Mukherjee , N. Gayathri , P. Barat

Continuum dislocation dynamics (CDD) has become the state-of-the-art theoretical approach for mesoscale dislocation plasticity of metals. Within this approach, there are multiple CDD theories that can all be derived from the principles of…

Materials Science · Physics 2026-04-13 Joseph Pierre Anderson , Anter El-Azab

A new approach for characterizing the dislocation microstructure obtained from atomistic simulations is introduced, which relies on converting properties of discrete lines to continuous data. This data is represented by a number of density…

Most of crystalline materials exhibit a hysteresis on their deformation curve when mechanically loaded in alternating directions. This Bauschinger effect is the signature of mechanisms existing at the atomic scale and controlling the…

Materials Science · Physics 2021-01-01 Sylvain Queyreau , Benoit Devincre

A recently proposed generalised continuum theory of curved dislocations describes the spatial and temporal evolution of statistically stored and geometrically necessary dislocation densities as well as the curvature. The dynamics follow…

Materials Science · Physics 2026-01-13 István Groma , Dénes Berta , Lóránt Sándli , Péter Dusán Ispánovity

This work addresses differences in predicted elastic fields created by dislocations either by the Phase Field Crystal (PFC) model, or by static Field Dislocation Mechanics (FDM). The PFC order parameter describes the topological content of…

Materials Science · Physics 2024-04-16 Manas Vijay Upadhyay , Jorge Viñals

Discrete models of dislocations in cubic crystal lattices having one or two atoms per unit cell are proposed. These models have the standard linear anisotropic elasticity as their continuum limit and their main ingredients are the elastic…

Materials Science · Physics 2009-11-13 L. L. Bonilla , A. Carpio , I. Plans

Over low and intermediate strain rates, plasticity in face centered cubic (FCC) metals is governed by the glide of dislocations, which manifest as complex networks that evolve with strain. Considering the elastic anisotropy of FCC metals,…

Materials Science · Physics 2025-01-28 John D. Shimanek , Darshan Bamney , Laurent Capolungo , Zi-Kui Liu , Allison M. Beese

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

We present a mesoscale description of deformations and defects in thin, flexible sheets with crystalline order, tackling the interplay between in-plane elasticity, out-of-plane deformation, as well as dislocation nucleation and motion. Our…

Materials Science · Physics 2025-02-26 Lucas Benoit--Maréchal , Ingo Nitschke , Axel Voigt , Marco Salvalaglio

Dipolar dislocation loops, prevalent in fcc metals, are widely recognized as controlling many physical aspects of plastic deformation. We present results of 3D dislocation dynamics simulations that shed light on the mechanisms of their…

Materials Science · Physics 2017-01-02 Can Erel , Giacomo Po , Tamer Crosby , Nasr Ghoniem

Nanoindentation techniques recently developed to measure the mechanical response of crystals under external loading conditions reveal new phenomena upon decreasing sample size below the microscale. At small length scales, material…

Materials Science · Physics 2015-03-18 Paolo Moretti , Benedetta Cerruti , M. -Carmen Miguel

The present research is the first attempt to systematically quantify the dislocation-precipitate interaction in terms of applied shear stress, precipitate resistance, and the required time to reach the critical state of…

Materials Science · Physics 2017-11-07 Amirreza Keyhani , Reza Roumina

We wish to understand the macroscopic plastic behaviour of metals by upscaling the micro-mechanics of dislocations. We consider a highly simplified dislocation network, which allows our microscopic model to be a one dimensional particle…

Mathematical Physics · Physics 2019-02-20 P. van Meurs , A. Muntean , M. A. Peletier

The role of a simple surface defect, such as a step, for relaxing the stress applied to a semiconductor, has been investigated by means of large scale first principles calculations. Our results indicate that the step is the privileged site…

Materials Science · Physics 2007-09-12 Julien Godet , Sandrine Brochard , Laurent Pizzagalli , Pierre Beauchamp , Jose M. Soler

Mesoscale simulations of discrete defects in metals provide an ideal framework to investigate the micro-scale mechanisms governing the plastic deformation under high thermal and mechanical loading conditions. To bridge size and time-scale…

Dislocations, as topological defects in crystal lattices, are fundamental to understanding plasticity in materials. Similar periodic structures also arise in continuum field theories, such as chiral soliton lattices (CSLs), which appear in…

High Energy Physics - Theory · Physics 2025-06-23 Minoru Eto , Kentaro Nishimura , Muneto Nitta

We study avenues to shape multistability and shape-morphing in flexible crystalline membranes of cylindrical topology, enabled by glide mobility of dislocations. Using computational modeling, we obtain states of mechanical equilibrium…

Soft Condensed Matter · Physics 2022-03-23 Andrei Zakharov , Daniel A. Beller

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