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We report two-dimensional discrete dislocation dynamics simulations of combined dislocation glide and climb leading to `power-law' creep in a model aluminum crystal. The approach fully accounts for matter transport due to vacancy diffusion…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 Shyam M. Keralavarma , Tahir Cagin , Tom Arsenlis , A. Amine Benzerga

Micro-plasticity theories and models are suitable to explain and predict mechanical response of devices on length scales where the influence of the carrier of plastic deformation - the dislocations - cannot be neglected or completely…

Materials Science · Physics 2015-06-10 Stefan Sandfeld , Ekkachai Thawinan , Christian Wieners

Strain relief in lattice mismatched heteroepitaxy is mediated by formation and/or propagation of dislocations. Due to their technological significance, the process of strain relief in materials with face-centred cubic (fcc) lattices has…

Materials Science · Physics 2007-05-23 Atul Konkar

A variational model for epitaxially strained films accounting for the presence of dislocations is considered. Existence, regularity and some qualitative properties of solutions are addressed.

Mathematical Physics · Physics 2016-05-27 Irene Fonseca , Nicola Fusco , Giovanni Leoni , Massimiliano Morini

In this work, we present a 3D Phase Field Dislocation Dynamics (PFDD) model for body-centered cubic (BCC) metals. The model formulation is extended to account for the dependence of the Peierls barrier on the line-character of the…

Materials Science · Physics 2019-09-24 Xiaoyao Peng , Nithin Mathew , Irene J. Beyerlein , Kaushik Dayal , Abigail Hunter

In this paper, we present a dislocation-density-based three-dimensional continuum model, where the dislocation substructures are represented by pairs of dislocation density potential functions (DDPFs), denoted by $\phi$ and $\psi$. The slip…

Materials Science · Physics 2015-09-23 Yichao Zhu , Yang Xiang

The viscoplastic deformation (creep) of crystalline materials under constant stress involves the motion of a large number of interacting dislocations. Analytical methods and sophisticated `dislocation-dynamics' simulations have proved very…

Statistical Mechanics · Physics 2009-11-07 M. -Carmen Miguel , Alessandro Vespignani , Stefano Zapperi , Jerome Weiss , Jean-Robert Grasso

A static variational model for shape formation in heteroepitaxial crystal growth is considered. The energy functional takes into account surface energy, elastic misfit-energy and nucleation energy of dislocations. A scaling law for the…

Analysis of PDEs · Mathematics 2024-03-21 Lukas Abel , Janusz Ginster , Barbara Zwicknagl

We performed classical molecular dynamics simulations to investigate, from an atomistic point of view, the formation of dislocations during the epitaxial growth of Ge on Si. We show that simulations at 900 and 1000 K with deposition rates…

Materials Science · Physics 2025-09-19 Luis Martín-Encinar , Luis A. Marqués , Iván Santos , Lourdes Pelaz

Pinning of dislocations at nanosized obstacles like precipitates, voids and bubbles, is a crucial mechanism in the context of phenomena like hardening and creep. The interaction between such an obstacle and a dislocation is often explored…

Materials Science · Physics 2014-10-22 A. Dutta , M. Bhattacharya , P. Barat

The purpose of this article is to study the behavior of a heterogeneous thin film whose microstructure oscillates on a scale that is comparable to that of the thickness of the domain. The argument is based on a 3D-2D dimensional reduction…

Analysis of PDEs · Mathematics 2007-05-23 Jean-Francois Babadjian , Margarida Baia

Plasticity in hexagonal close-packed zirconium is controlled by screw dislocations which easily glide in the prismatic planes where they are dissociated. At high enough temperatures, these dislocations can deviate out of the prism planes to…

Materials Science · Physics 2021-12-09 Émile Maras , Emmanuel Clouet

In this paper we have investigated, through computer simulations, dislocation nucleation and dislocation dynamics in a heterostructure system with the lattice-mismatch interface, i.e. a system with internal strain. In particular, we have…

Materials Science · Physics 2018-04-20 Marco Patriarca , Antti Kuronen , Kimmo Kaski

In this paper we consider the dynamics of dislocations with the same Burgers vector, contained in the same glide plane, and moving in a material with periodic obstacles. We study two cases: i) the particular case of parallel straight…

Analysis of PDEs · Mathematics 2015-05-13 A. El Hajj , H. Ibrahim , R. Monneau

In this paper we present a generalization of a simple solid-on-solid epitaxial model of thin films growth, when surface morphology anisotropy is provoked by anisotropy in model control parameters: binding energy and/or diffusion barrier.…

Condensed Matter · Physics 2007-05-23 K. Malarz , A. Z. Maksymowicz

During plastic deformation, metals change shape while continuously becoming stronger. The microscopic origin of these processes lies in the proliferation and movement of line defects, dislocations, and the subsequent self-organisation and…

(001)-oriented thin films of the three-dimensional Dirac semimetal cadmium arsenide can realize a quantum spin Hall insulator and other kinds of topological physics, all within the flexible architecture of epitaxial heterostructures. Here,…

Materials Science · Physics 2019-04-02 David A. Kealhofer , Honggyu Kim , Timo Schumann , Manik Goyal , Luca Galletti , Susanne Stemmer

Dislocations are ubiquitous in three-dimensional solid-state materials. The interplay of such real space topology with the emergent band topology defined in reciprocal space gives rise to gapless helical modes bound to the line defects.…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Liping Ye , Chunyin Qiu , Meng Xiao , Tianzi Li , Juan Du , Manzhu Ke , Zhengyou Liu

Over the past decades, discrete dislocation dynamics simulations have been shown to reliably predict the evolution of dislocation microstructures for micrometer-sized metallic samples. Such simulations provide insight into the governing…

Defects are inevitable during the manufacturing processes of materials. Presence of these defects and their dynamics significantly influence the responses of materials. A thorough understanding of dislocation dynamics of different types of…

Materials Science · Physics 2024-08-28 Santosh Chhetri , Maryam Naghibolhosseini , Mohsen Zayernouri