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Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores, which depend on atomistic length scales, and a surface boundary value problem which depends…

Soft Condensed Matter · Physics 2023-06-12 Jonas Ritter , Michael Zaiser

Particles traveling in aligned crystals at small angles w.r.t. crystallographic axes or planes are principally steered by the continuous Lindhard potential. This interaction conserves the energy E, the longitudinal momentum p_parallel, the…

Quantum Physics · Physics 2020-06-24 Xavier Artru

A variational approach is presented to calculate the stress field generated by a system of dislocations. It is shown that in the simplest case, when the material containing the dislocations obeys Hooke's law the variational framework gives…

Materials Science · Physics 2010-09-15 István Groma , Géza Györgyi , Péter Dusán Ispánovity

Dislocation nucleation in homogeneous crystals initially unfolds as a linear symmetry-breaking elastic instability. In the absence of explicit nucleation centers, such instability develops simultaneously all over the crystal and due to the…

Materials Science · Physics 2023-02-24 R. Baggio , O. U. Salman , L. Truskinovsky

Crystalline materials deform in an intermittent way via dislocation-slip avalanches. Below a critical stress, the dislocations are jammed within their glide plane due to long-range elastic interactions and the material exhibits plastic…

Soft Condensed Matter · Physics 2015-05-20 Georgios Tsekenis , Nigel Goldenfeld , Karin A. Dahmen

We analyze numerically the radiation and channeling properties of ultrarelativistic electrons and positrons propagating through a periodically bent diamond crystal grown on a straight single-crystal diamond substrate. Such systems can be…

Accelerator Physics · Physics 2021-01-29 Alexander Pavlov , Andrey Korol , Vadim Ivanov , Andrey Solov'yov

Continuum dislocation dynamics models of mesoscale plasticity consist of dislocation transport-reaction equations coupled with crystal mechanics equations. The coupling between these two sets of equations is such that dislocation transport…

Materials Science · Physics 2021-02-09 Peng Lin , Vignesh Vivekanandan , Kyle Starkey , Benjamin Anglin , Clint Geller , Anter El-Azab

The properties of crystals consisting of several components can be widely tuned. Often solid solutions are produced, where substitutional or interstitional disorder determines the crystal thermodynamic and mechanical properties. The…

Soft Condensed Matter · Physics 2019-10-30 Tadeus Ras , Michael Szafarczyk , Matthias Fuchs

The inherent inconsistency in identifying the phase field in the phase field crystal Theory with the material mass and, simultaneously, with material distortion is discussed. In its current implementation, elastic relaxation in the phase…

Materials Science · Physics 2025-02-25 Amit Acharya , Luiza Angheluta , Jorge Vinals

We present an extension of Cluster Perturbation Theory to include many body correlations associated to local e-e repulsion in real materials. We show that this approach can describe the physics of complex correlated materials where…

Strongly Correlated Electrons · Physics 2013-06-25 F. Manghi

Colloidal systems offer the ideal conditions to study the nucleation process, both from an experimental viewpoint, due to their relative large size and long time-scales, and from a modeling point of view, due to the tunability of their…

Soft Condensed Matter · Physics 2016-11-23 John Russo , Hajime Tanaka

This work introduces a model for large-strain, geometrically nonlinear elasto-plastic dynamics in single crystals. The key feature of our model is that the plastic dynamics are entirely driven by the movement of dislocations, that is,…

Materials Science · Physics 2022-02-11 Thomas Hudson , Filip Rindler

Recently, it was shown that a theoretical description of nucleation based on fluctuating hydrodynamics and classical density functional theory can be used to determine non-classical nucleation pathways for crystallization (Lutsko, Sci. Adv.…

Chemical Physics · Physics 2024-06-26 James F. Lutsko , Cédric Schoonen

Crystalline materials, such as metals and semiconductors, nearly always contain a special defect type called dislocation. This defect decisively determines many important material properties, e.g., strength, fracture toughness, or…

Materials Science · Physics 2024-01-08 Ahmad Zainul Ihsan , Said Fathalla , Stefan Sandfeld

This paper develops the small strain continuum dislocation theory accounting for statistically stored dislocations and Taylor hardening for single crystals. As illustration, the problem of anti-plane constrained shear of single crystal…

Materials Science · Physics 2015-06-12 Khanh Chau Le , Pramio Sembiring , Thi Nhung Tran

We study continuum percolation in nuclear collisions for the realistic case in which the nuclear matter distribution is not uniform over the collision volume, and show that the percolation threshold is increased compared to the standard,…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Rodrigues , R. Ugoccioni , J. Dias de Deus

This paper is aimed at presenting a simple vibronic model for describing the dipolar reorientation in crystals by means of reaction rate theory. The Hamiltonian of an isolated dipole is simplified so as to render the problem solvable.…

Materials Science · Physics 2007-05-23 C. Medrano , M. Georgiev

The coherent process of particle deflection by aligned atomic strings and planes of oriented crystals is accompanied by incoherent scattering by atomic cores. While the coherent particle deflection, described by the axial or planar averaged…

Accelerator Physics · Physics 2020-04-14 Victor V. Tikhomirov

In this paper, we prove the convergence from the atomistic model to the Peierls--Nabarro (PN) model of two-dimensional bilayer system with complex lattice. We show that the displacement field of the dislocation solution of the PN model…

Analysis of PDEs · Mathematics 2021-03-18 Yahong Yang , Tao Luo , Yang Xiang

The mechanical properties of a solid, which relate its deformation to external applied forces, are key factors in enabling or disabling the use of an otherwise optimal material in any application, strongly influencing also its service…

Materials Science · Physics 2025-08-28 Margherita Marsili , Elisa Damiani , Davide Dalle Ave , Gabriele Losi , M. Clelia Righi
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