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Solutions to the differential equations of linear elasticity in the continuum limit in arbitrary crystal symmetry are known only for steady-state dislocations of arbitrary character, i.e. line defects moving at constant velocity. Troubled…

材料科学 · 物理学 2021-04-27 Daniel N. Blaschke

The X-cube model, a prototypical gapped fracton model, has been shown to have a foliation structure. That is, inside the 3+1D model, there are hidden layers of 2+1D gapped topological states. A screw dislocation in a 3+1D lattice can often…

强关联电子 · 物理学 2021-05-05 Nandagopal Manoj , Kevin Slagle , Wilbur Shirley , Xie Chen

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…

介观与纳米尺度物理 · 物理学 2015-10-15 Markus Lazar

We use the phase field crystal model to study nucleation of edge dislocations in two dimensions under an applied stress field. A dislocation dipole nucleates under the applied stress, consistent with Burgers vector conservation. The phase…

材料科学 · 物理学 2021-01-20 Vidar Skogvoll , Audun Skaugen , Luiza Angheluta , Jorge Viñals

The influence of hydrogen on dislocation junctions was analysed by incorporating a hydrogen dependent core force into nodal based discrete dislocation dynamics. Hydrogen reduces the core energy of dislocations, which reduces the magnitude…

材料科学 · 物理学 2020-04-08 Haiyang Yu , Ivaylo H. Katzarov , Anthony T. Paxton , Alan C. F. Cocks , Edmund Tarleton

We elucidated the core structure of screw dislocations in ordered B2 FeCo using a recent magnetic bond-order potential (BOP) [Egorov et al., Phys. Rev. Mater. 7, 044403 (2023)]. We corroborated that dislocations in B2 FeCo exist in pairs…

材料科学 · 物理学 2025-04-01 Aleksei Egorov , Antoine Kraych , Matous Mrovec , Ralf Drautz , Thomas Hammerschmidt

This study undertakes the mathematical modelling and numerical analysis of dislocations within the framework of differential geometry. The fundamental configurations, i.e. reference, intermediate and current configurations, are expressed as…

数值分析 · 数学 2022-05-09 Shunsuke Kobayashi , Ryuichi Tarumi

In classical elasticity theory the stress-field of a dislocation is characterized by a $1/r$-type singularity. When such a dislocation is considered together with an Allen-Cahn-type phase-field description for microstructure evolution this…

材料科学 · 物理学 2021-07-02 M. Budnitzki , S. Sandfeld

We report the first ab initio density-functional study of <111> screw dislocations cores in the bcc transition metals Mo and Ta. Our results suggest a new picture of bcc plasticity with symmetric and compact dislocation cores, contrary to…

材料科学 · 物理学 2009-10-31 Sohrab Ismail-Beigi , T. A. Arias

We propose an energy-consistent mathematical model for motion of dislocation curves in elastic materials using the idea of phase field model. This reveals a hidden gradient flow structure in the dislocation dynamics. The model is derived as…

数值分析 · 数学 2016-01-12 Vladimir Chalupecky , Masato Kimura

Two-dimensional (2D) layered materials hosting dislocations have attracted considerable research attention in recent years. In particular, screw dislocations can result in a spiral topology and an interlayer twist in the layered materials,…

材料科学 · 物理学 2020-12-23 Rui Chen , Jinhua Cao , Stephen Gee , Yin Liu , Jie Yao

It is shown that in core-radius cutoff regularized simplified elasticity (where the elastic energy depends quadratically on the full displacement gradient rather than its symmetrized version), the force on a dislocation curve by the…

偏微分方程分析 · 数学 2020-03-19 Irene Fonseca , Janusz Ginster , Stephan Wojtowytsch

The aim of this paper is to provide new results and insights for a screw dislocation in functionally graded media within the gauge theory of dislocations. We present the equations of motion for dislocations in inhomogeneous media. We…

材料科学 · 物理学 2011-02-21 Markus Lazar

The current interest in compositionally complex alloys including so called high entropy alloys has caused renewed interest in the general problem of solute hardening. It has been suggested that this problem can be addressed by treating the…

材料科学 · 物理学 2021-09-17 Michael Zaiser , Ronghai Wu

Plasticity in zirconium alloys is mainly controlled by the interaction of 1/3 1210 screw dislocations with oxygen atoms in interstitial octahedral sites of the hexagonal close-packed lattice. This process is studied here using ab initio…

材料科学 · 物理学 2017-05-12 Nermine Chaari , David Rodney , Emmanuel Clouet

Crystal dislocations govern the plastic mechanical properties of materials but also affect the electrical and optical properties. However, a fundamental and quantitative quantum-mechanical theory of dislocation remains undiscovered for…

材料科学 · 物理学 2017-01-27 Mingda Li , Wenping Cui , M. S. Dresselhaus , Gang Chen

Uniqueness of solutions in the linear theory of non-singular dislocations, studied as a special case of plasticity theory, is examined. The status of the classical, singular Volterra dislocation problem as a limit of plasticity problems is…

经典物理 · 物理学 2019-07-24 Amit Acharya , Robin J. Knops , Jeyabal Sivaloganathan

A continual model of non-singular screw dislocation lying along a straight infinitely long circular cylinder is investigated in the framework of translational gauge approach with the Hilbert--Einstein gauge Lagrangian. The stress--strain…

材料科学 · 物理学 2007-05-23 C. Malyshev

We report on the identification and quantitative characterization of elementary edge and screw dislocations in a colloidal smectic phase of tip-labeled rods. Thanks to the micrometer layer spacing, direct visualization of dislocations has…

软凝聚态物质 · 物理学 2018-09-12 Andrii Repula , Eric Grelet

We employed a real-space formulation of orbital-free density functional theory using finite-element basis to study the defect-core and energetics of an edge dislocation in Aluminum. Our study shows that the core-size of a perfect edge…

材料科学 · 物理学 2015-06-22 Mrinal Iyer , Balachandran Radhakrishnan , Vikram Gavini