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Related papers: Screw dislocation in zirconium: An ab initio study

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Dislocations in ductile ceramics offer the potential for robust mechanical performance while unlocking versatile functional properties. Previous studies have been limited by small volumes with dislocations and/or low dislocation densities…

Materials Science · Physics 2024-11-20 Oliver Preuß , Enrico Bruder , Jiawen Zhang , Wenjun Lu , Jürgen Rödel , Xufei Fang

In this paper, a strain-gradient plasticity model is derived from a mesoscopic model for straight parallel edge dislocations in an infinite cylindrical crystal. The main difference to existing work is that in this work the well-separateness…

Analysis of PDEs · Mathematics 2019-05-01 Janusz Ginster

Twin growth in hexagonal close-packed zirconium is investigated at the atomic scale by modeling the various disconnections that can exist on twin boundaries. Thanks to a coupling with elasticity theory, core energies are extracted from…

Materials Science · Physics 2017-05-08 Olivier Mackain , Maeva Cottura , David Rodney , Emmanuel Clouet

The modest aim of this short article is to provide some new results for a screw dislocation in a functionally graded material within the theory of gradient elasticity. These results, based on a displacement formulation and the Fourier…

Materials Science · Physics 2010-12-24 Kamyar Davoudi , Hossein Davoudi , Elias Aifantis

The fundamental dislocation processes of glide, climb, and annihilation are studied on diffusive time scales within the framework of a continuum field theory, the Phase Field Crystals (PFC) model. Glide and climb are examined for single…

Materials Science · Physics 2009-11-11 J. Berry , K. R. Elder , M. Grant

A system of $n$ screw dislocations in an isotropic crystal undergoing antiplane shear is studied in the framework of linear elasticity. Imposing a suitable boundary condition for the strain, namely requesting the non-vanishing of its…

Analysis of PDEs · Mathematics 2018-10-04 Ilaria Lucardesi , Marco Morandotti , Riccardo Scala , Davide Zucco

Neutron irradiation progressively changes the properties of zirconium alloys: they harden and their average c/a lattice parameter ratio decreases with fluence. The bombardment by neutrons produces point defects, which evolve into…

Materials Science · Physics 2021-02-03 Rory Hulse , Christopher P Race

A novel, concurrent multiscale approach to meso/macroscale plasticity is demonstrated. It utilizes a carefully designed coupling of a partial differential equation (pde) based theory of dislocation mediated crystal plasticity with…

Computational Engineering, Finance, and Science · Computer Science 2020-07-15 Sabyasachi Chatterjee , Giacomo Po , Xiaohan Zhang , Amit Acharya , Nasr Ghoniem

In this paper, we proposed a novel method using the elementary number theory to investigate the discrete nature of the screw dislocations in crystal lattices, simple cubic (SC) lattice and body centered cubic (BCC) lattice, by developing…

Mathematical Physics · Physics 2021-03-17 Shigeki Matsutani

Strain hardening is a key feature observed in many rocks deformed in the so-called ``semi-brittle'' regime, where both crystal plastic and brittle deformation mechanisms operate. Dislocation storage has long been recognised as a major…

Geophysics · Physics 2025-02-14 Nicolas Brantut

Unlike the tensile mode, compressive deformation of a bcc metallic nanostructure is mediated by the glide of screw dislocation. Although the bcc screw dislocations are well known to possess unusual attributes, it is still unclear how these…

Materials Science · Physics 2016-08-04 Amlan Dutta

The present paper studies non-uniform plastic deformations of crystals undergoing anti-plane constrained shear. The asymptotically exact energy density of crystals containing a moderately large density of excess dislocations is found by the…

Materials Science · Physics 2018-01-17 Khanh Chau Le , Yinguang Piao

In this note we discuss two aspects of screw dislocations dynamics: their behavior near the boundary and a way to confine them inside the material. In the former case, we obtain analytical results on the estimates of collision times (one…

Analysis of PDEs · Mathematics 2017-05-24 Marco Morandotti

Dislocation assemblies exhibit a jamming or yielding transition at a critical external shear stress value $\sigma=\sigma_c$. Nevertheless the nature of this transition has not been ascertained. Here we study the heterogeneous and collective…

Statistical Mechanics · Physics 2015-05-18 Lasse Laurson , M. -Carmen Miguel , Mikko J. Alava

To understand how dislocations form ordered structures during the deformation of metals, we perform computer simulation studies of the dynamics and patterning of screw dislocations in two dimensions. The simulation is carried out using an…

Materials Science · Physics 2007-05-23 Robin L. B. Selinger , Brian B. Smith , Wei-Dong Luo

Defects play a key role in deciding the mechanisms and kinetics of phase transformations. In this paper, we show how dislocations influence phase separation in alloys with miscibility gap. Specifically, depending on the ratio of pipe…

Materials Science · Physics 2021-07-28 Arjun Varma R , Prita Pant , M P Gururajan

The upscaling of a system of screw dislocations in a material subject to an external strain is studied. The $\Gamma$-limit of a suitable rescaling of the renormalized energy is characterized in the space of probability measures. This…

Analysis of PDEs · Mathematics 2018-08-28 Ilaria Lucardesi , Marco Morandotti , Riccardo Scala , Davide Zucco

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 yield surface in crystal plasticity can be approached from various directions during mechanical loading. We consider the competition between nanoindentation and tensile loading towards plastic yielding. For this purpose, we develop a…

Materials Science · Physics 2017-07-14 Hengxu Song , Hakan Yavas , Erik Van der Giessen , Stefanos Papanikolaou

We study three structurally different states of nanocrystalline 316 steel and show that the state, where boundaries containing excess concentration of alloying elements are combined with mobile dislocations in grain interiors, allows…

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