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Important physical observations in rupture dynamics such as static fault friction, short-slip, self-healing, and supershear phenomenon in cracks are studied. A continuum model of rupture dynamics is developed using the field dislocation…

Materials Science · Physics 2023-12-18 Abhishek Arora , Amit Acharya

In body-centered cubic (bcc) metals such as molybdenum, screw dislocations often exhibit non-Schmid behavior, moving in directions unpredicted by the Schmid law. The mobility of these dislocations is notably influenced by the presence of…

Materials Science · Physics 2024-04-09 Kangzhi Zhou , Jiajun Feng , Ziran Liu , Huiqiu Deng , Lixia Jia , Xinfu He

We present a higher-order boundary condition for atomistic simulations of dislocations that address the slow convergence of standard supercell methods. The method is based on a multipole expansion of the equilibrium displacement, combining…

Numerical Analysis · Mathematics 2025-10-07 Xinyi Wei , Julian Braun , Yangshuai Wang , Lei Zhang

We explore the possibilities of using energy minimization for the numerical modeling of strain localization in solids as a sharp discontinuity in the displacement field. For this purpose, we consider (regularized) strong discontinuity…

Machine Learning · Computer Science 2025-01-14 Omar León , Víctor Rivera , Angel Vázquez-Patiño , Jacinto Ulloa , Esteban Samaniego

I show using Landau theory that quenched dislocations can facilitate the supersolid (SS) to normal solid (NS) transition, making it possible for the transition to occur even if it does not in a dislocation-free crystal. I make detailed…

Other Condensed Matter · Physics 2009-11-13 John Toner

A generalized line tension model has been developed to estimate the critical resolved shear stress in precipitation hardened alloys. The model is based in previous line tension models for regular arrays of either impenetrable or shearable…

Materials Science · Physics 2022-02-23 R. Santos-Güemes , J. Segurado , J. LLorca

The interplay of screw dislocations with carbon atoms is investigated in tungsten at high temperature using in situ straining experiments in a transmission electron microscope (TEM) and through ab initio calculations. When the temperature…

Materials Science · Physics 2021-11-24 Guillaume Hachet , Daniel Caillard , Lisa Ventelon , Emmanuel Clouet

We prove Taylor scaling for dislocation lines characterized by line-tension and moving by curvature under the action of an applied shear stress in a plane containing a random array of obstacles. Specifically, we show--in the sense of…

Analysis of PDEs · Mathematics 2022-04-13 Luca Courte , Patrick Dondl , Michael Ortiz

The mechanisms of dislocation/precipitate interaction were studied by means of discrete dislocation dynamics within a multiscale approach. Simulations were carried out using the discrete continuous method in combination with a fast Fourier…

We present a time-dependent Ginzburg-Landau model of nonlinear elasticity in solid materials. We assume that the elastic energy density is a periodic function of the shear and tetragonal strains owing to the underlying lattice structure.…

Statistical Mechanics · Physics 2009-11-10 Akira Onuki , Akira Furukawa , Akihiko Minam

In this work, molecular dynamics (MD) simulations were used to investigate elementary dislocation properties in a Co-free high entropy (HEA) model alloy ($Cr_{15}Fe_{46}Mn_{17}Ni_{22}$ at. %) in comparison with a model alloy representative…

Atomic and Molecular Clusters · Physics 2022-05-19 Ayobami Daramola , Anna Fraczkiewicz , Giovanni Bonny , Akiyoshi Nomoto , Gilles Adjanor , Christophe Domain , Ghiath Monnet

This pedagogical review presents the Shell Correction Method (SCM) and variants thereof, appropriate for describing shape deformations and electronic shell effects, energetics and decay pathways of metal-cluster fragmentation processes…

Atomic and Molecular Clusters · Physics 2007-05-23 Constantine Yannouleas , Uzi Landman , Robert N. Barnett

The two-dimensional dislocation dynamics approach has been recently used for analyzing plastic deformation in metals and alloys at elevated temperatures. The two-dimensional approach, however, only accounts for the dislocation climbing…

Materials Science · Physics 2018-01-29 Amirreza Keyhani

Theory predicts limiting gliding velocities that dislocations cannot overcome. Computational and recent experiments have shown that these limiting velocities are soft barriers and dislocations can reach transonic speeds in high rate plastic…

Materials Science · Physics 2025-02-18 Kathryn R. Jones , Khanh Dang , Daniel N. Blaschke , Saryu J. Fensin , Abigail Hunter

The origin of dielectric breakdown was studied on 4H-SiC MOSFETs that failed after three months of high temperature reverse bias (HTRB) stress. A local inspection of the failed devices demonstrated the presence of a threading dislocation…

A two-dimensional (2D) dislocation continuum theory is being introduced. The present theory adds elastic rotation, dislocation density, and background stress to the classical energy density of elasticity. This theory contains four material…

Mesoscale and Nanoscale Physics · Physics 2015-10-15 Markus Lazar

The existence of stress singularities and reliance on linear approximations pose significant challenges in comprehending the stress field generation mechanism around dislocations. This study employs differential geometry and calculus of…

Materials Science · Physics 2024-01-10 Shunsuke Kobayashi , Ryuichi Tarumi

A phase field model is presented to investigate dislocation formation (coherency loss) and workhardening in two-phase binary alloys. In our model the elastic energy density is a periodic function of the shear and tetragonal strains, which…

Statistical Mechanics · Physics 2013-05-29 Akihiko Minami , Akira Onuki

Spatial heterogeneity in the elastic properties of soft random solids is examined via vulcanization theory. The spatial heterogeneity in the \emph{structure} of soft random solids is a result of the fluctuations locked-in at their…

Disordered Systems and Neural Networks · Physics 2011-12-08 Xiaoming Mao , Paul M. Goldbart , Xiangjun Xing , Annette Zippelius

Here we present a model to study the micro-plastic regime of a stress-strain curve. In this model an explicit dislocation population represents the mobile dislocation content and an internal shear-stress field represents a mean-field…

Materials Science · Physics 2015-06-05 P. M. Derlet , R. Maaß