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We study the sharp interface limit and well-posedness of a phase field model for self-climb of prismatic dislocation loops in periodic settings. The model is set up in a Cahn-Hilliard/Allen-Cahn framework featured with degenerate…

Analysis of PDEs · Mathematics 2023-02-09 Xiaohua Niu , Xiaodong Yan

Although titanium nitride (TiN) is among the most extensively studied and thoroughly characterized thin-film ceramic materials, detailed knowledge of relevant dislocation core structures is lacking. By high-resolution scanning transmission…

We consider the inverse problem of determining an elastic dislocation that models a seismic fault in the quasi-static regime of aseismic, creeping faults, from displacement measurements made at the surface of Earth. We derive both a…

Analysis of PDEs · Mathematics 2024-10-08 Andrea Aspri , Elena Beretta , Arum Lee , Anna Mazzucato

Dislocations, one-dimensional lattice imperfections, are common to technologically important materials such as III-V semiconductors, and adversely affect heat dissipation in e.g., nitride-based high-power electronic devices. For decades,…

Materials Science · Physics 2019-01-23 Bo Sun , Georg Haunschild , Carlos Polanco , James Ju , Lucas Lindsay , Gregor Koblmüller , Yee Kan Koh

Today the study of two-dimensional (2D) materials has become one of the key objectives of materials science. Unlike their three-dimensional counterparts, 2D materials can simultaneously demonstrate unique transport and mechanical properties…

Materials Science · Physics 2021-03-16 Arslan B. Mazitov , Artem R. Oganov

Plastic deformation In crystalline materials is controlled by the motion and interactions of dislocations [AND 17]. Discrete Dislocation Dynamics (DDD) simulations have now existed for about 25 years to investigate plastic flow at the…

Materials Science · Physics 2020-01-07 Sylvain Queyreau

Dislocations are a central concept in materials science, which dictate the plastic deformation and damage evolution in materials. Layered materials such as graphite admit two general types of interlayer dislocations: basal and prismatic…

We study a continuum model of dislocation transport in order to investigate the formation of heterogeneous dislocation patterns. We propose a physical mechanism which relates the formation of heterogeneous patterns to the dynamics of a…

Materials Science · Physics 2018-08-29 Ronghai Wu , Daniel Tüzes , Péter Dusán Ispánovity , István Groma , Michael Zaiser

Tectonic deformation crucially shapes the Earth's surface, with strain localization resulting in the formation of shear zones and faults that accommodate significant tectonic displacement. Earthquake dynamic rupture models, which provide…

Geophysics · Physics 2024-07-31 Anthony Jourdon , Jorge Nicolas Hayek , Dave A. May , Alice-Agnes Gabriel

In this work we investigate the theory of dynamics of dislocations in quasicrystals. We consider three models: the elastodynamic model of wave type, the elasto-hydrodynamic model, and the elastodynamic model of wave-telegraph type.…

Materials Science · Physics 2016-12-14 Eleni Agiasofitou , Markus Lazar

We focus on mesoscopic dislocation patterning via a continuum dislocation dynamics theory (CDD) in three dimensions (3D). We study three distinct physically motivated dynamics which consistently lead to fractal formation in 3D with rather…

Statistical Mechanics · Physics 2015-03-19 Yong S. Chen , Woosong Choi , Stefanos Papanikolaou , Matthew Bierbaum , James P. Sethna

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

Plastic deformation is mediated by the creation and movement of dislocations, and at high stress the latter is dominated by dislocation drag from phonon wind. By simulating a 1-D shock impact problem we analyze the importance of accurately…

Materials Science · Physics 2021-06-15 Daniel N. Blaschke , Darby J. Luscher

We study numerically the energetics and atomic mechanisms of misfit dislocation nucleation and stress relaxation in a two-dimensional atomistic model of strained epitaxial layers on a substrate with lattice misfit. Relaxation processes from…

Materials Science · Physics 2009-11-10 O. Trushin , E. Granato , S. C. Ying , P. Salo , T. Ala-Nissila

The flow of thin liquid films on inclined or vertical surfaces is one of immense importance, with applications spanning many types of process industries, due to the increased mass and heat transfer brought about by the presence of waves on…

Soft Condensed Matter · Physics 2020-07-24 Idris Adebayo

(a+c) dislocations in hexagonal materials are typically observed to be dissociated into partial dislocations. Edge (a+c) dislocations are introduced into (0001) nitride semiconductor layers by the process of plastic relaxation. As there is…

Applied Physics · Physics 2023-10-19 J. Smalc-Koziorowska , J. Moneta , G. Muziol , W. Chrominski , R. Kernke , M. Albrecht , T. Schulz , I. Belabbas

A continuum theory based on thermodynamics has been developed for modeling diffusional creep of polycrystalline solids. It consists of a coupled problem of vacancy diffusion and mechanics where the vacancy generation/absorption at grain…

Materials Science · Physics 2019-11-18 M. Magri , G. Lemoine , L. Adam , J. Segurado

Scanning electron microscopy (SEM) based electron channeling contrast imaging (ECCI) is used to observe and quantify misfit dislocation (MD) networks formed at the heteroepitaxial interface between ZnS and GaP grown by molecular beam…

We develop a fully coupled theoretical description of dislocation dynamics on deformable crystalline surfaces, using continuum modeling and the amplitude-phase-field crystal (APFC) framework extended to curved geometries. We derive a…

Soft Condensed Matter · Physics 2026-02-17 Marcello De Donno , Luiza Angheluta , Marco Salvalaglio

We derive a continuum-level plasticity model for polycrystalline materials in the high energy density regime, based on a single dislocation density and single mobility mechanism, with an evolution model for the dislocation density. The…