How to determine limiting velocities of dislocations in anisotropic crystals

Blaschke, Daniel N.

doi:10.1088/1361-648x/ac2970

Title: How to determine limiting velocities of dislocations in anisotropic crystals

Abstract

In the continuum limit, the theory of dislocations in crystals predicts a divergence in the elastic energy of the host material at a crystal geometry dependent limiting (or critical) velocity vc. Explicit expressions for vc are scattered throughout the literature and are available in analytic form only for special cases with a high degree of symmetry. The fact that in some cases (like pure edge dislocations in fcc) v_c happens to coincide with the lowest shear wave speed of a sound wave traveling parallel to the dislocation's gliding direction has led to further confusion in the more recent literature. The aim of this short review therefore is to provide a concise overview of the limiting velocities for dislocations of arbitrary character in general anisotropic crystals, and how to efficiently compute them, either analytically or numerically.

Authors:

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Fri Oct 08 00:00:00 EDT 2021

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1827591

Report Number(s):: LA-UR-21-26126
Journal ID: ISSN 0953-8984; TRN: US2215968

Grant/Contract Number:: 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Physics. Condensed Matter

Additional Journal Information:: Journal Volume: 33; Journal Issue: 50; Journal ID: ISSN 0953-8984

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Blaschke, Daniel N. How to determine limiting velocities of dislocations in anisotropic crystals.  United States: N. p., 2021. 
Web.  doi:10.1088/1361-648x/ac2970.

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                    Blaschke, Daniel N. How to determine limiting velocities of dislocations in anisotropic crystals.  United States.  https://doi.org/10.1088/1361-648x/ac2970

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                    Blaschke, Daniel N. Fri .  
"How to determine limiting velocities of dislocations in anisotropic crystals".  United States.  https://doi.org/10.1088/1361-648x/ac2970.  https://www.osti.gov/servlets/purl/1827591.

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@article{osti_1827591,

  title        = {How to determine limiting velocities of dislocations in anisotropic crystals},

  author       = {Blaschke, Daniel N.},

  abstractNote = {In the continuum limit, the theory of dislocations in crystals predicts a divergence in the elastic energy of the host material at a crystal geometry dependent limiting (or critical) velocity vc. Explicit expressions for vc are scattered throughout the literature and are available in analytic form only for special cases with a high degree of symmetry. The fact that in some cases (like pure edge dislocations in fcc) vc happens to coincide with the lowest shear wave speed of a sound wave traveling parallel to the dislocation's gliding direction has led to further confusion in the more recent literature. The aim of this short review therefore is to provide a concise overview of the limiting velocities for dislocations of arbitrary character in general anisotropic crystals, and how to efficiently compute them, either analytically or numerically.},

  doi          = {10.1088/1361-648x/ac2970},

  journal      = {Journal of Physics. Condensed Matter},

  number       = 50,

  volume       = 33,

  place        = {United States},

  year         = {Fri Oct 08 00:00:00 EDT 2021},

  month        = {Fri Oct 08 00:00:00 EDT 2021}

}

Copy to clipboard

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Works referenced in this record:

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Similar Records

Title: How to determine limiting velocities of dislocations in anisotropic crystals

Abstract

Citation Formats

Dislocation jumping over the sound barrier in tungsten journal, April 2002

A further synthesis of sextic and integral theories for dislocations and line forces in anisotropic media journal, November 1973

Coupling continuum dislocation transport with crystal plasticity for application to shock loading conditions journal, January 2016

Analysis for a screw dislocation accelerating through the shear-wave speed barrier journal, June 2008

Atomistic simulations of dislocation mobility in Al, Ni and Al/Mg alloys journal, March 2005

Dislocation energies in anisotropic crystals journal, July 1955

Accelerating dislocations to transonic and supersonic speeds in anisotropic metals journal, May 2008

Fast moving edge dislocations on the (110) plane in anisotropic body-centred-cubic crystals journal, April 1962

Molecular dynamics simulation of fast dislocations in copper journal, April 2009

Plane wave simulation of elastic-viscoplastic single crystals journal, September 2014

Kinetics of a fast moving twin boundary in nickel journal, April 2014

Clarifying the definition of ‘transonic’ screw dislocations journal, February 2021

A multiscale strength model for extreme loading conditions journal, April 2011

Nonuniform motion of an edge dislocation in an anisotropic solid. II journal, January 1985

Velocity dependent dislocation drag from phonon wind and crystal geometry journal, January 2019

Fast Moving Edge Dislocations in Various Face‐Centered‐Cubic Metals journal, May 1962

Steady State Problems in Anisotropic Elasticity journal, April 1962

Dislocations Faster than the Speed of Sound journal, February 1999

Analytic model of the remobilization of pinned glide dislocations: Including dislocation drag from phonon wind journal, August 2020

A dislocation-based multi-rate single crystal plasticity model journal, May 2013

Line tension of a dislocation moving through an anisotropic crystal journal, June 2018

Probing the character of ultra-fast dislocations journal, November 2015

Dislocation drag and its influence on elastic precursor decay journal, September 2021

Nonuniform motion of an edge dislocation in an anisotropic solid. I journal, January 1984

Anisotropic continuum theory of lattice defects journal, January 1980

Uniformly Moving Dislocations in Anisotropic Media journal, August 1954

Elastic surface waves in anisotropic crystals: a simplified method for calculating Rayleigh velocities using dislocation theory journal, June 1973

Uniformly Moving Dislocations in Anisotropic Media journal, January 1953

The mechanics and physics of high-speed dislocations: a critical review journal, April 2020

A general solution for accelerating screw dislocations in arbitrary slip systems with reflection symmetry journal, July 2021

Dislocation jumping over the sound barrier in tungsten
journal, April 2002

A further synthesis of sextic and integral theories for dislocations and line forces in anisotropic media
journal, November 1973

Coupling continuum dislocation transport with crystal plasticity for application to shock loading conditions
journal, January 2016

Analysis for a screw dislocation accelerating through the shear-wave speed barrier
journal, June 2008

Atomistic simulations of dislocation mobility in Al, Ni and Al/Mg alloys
journal, March 2005

Dislocation energies in anisotropic crystals
journal, July 1955

Accelerating dislocations to transonic and supersonic speeds in anisotropic metals
journal, May 2008

Fast moving edge dislocations on the (110) plane in anisotropic body-centred-cubic crystals
journal, April 1962

Molecular dynamics simulation of fast dislocations in copper
journal, April 2009

Plane wave simulation of elastic-viscoplastic single crystals
journal, September 2014

Kinetics of a fast moving twin boundary in nickel
journal, April 2014

Clarifying the definition of ‘transonic’ screw dislocations
journal, February 2021

A multiscale strength model for extreme loading conditions
journal, April 2011

Nonuniform motion of an edge dislocation in an anisotropic solid. II
journal, January 1985

Velocity dependent dislocation drag from phonon wind and crystal geometry
journal, January 2019

Fast Moving Edge Dislocations in Various Face‐Centered‐Cubic Metals
journal, May 1962

Steady State Problems in Anisotropic Elasticity
journal, April 1962

Dislocations Faster than the Speed of Sound
journal, February 1999

Analytic model of the remobilization of pinned glide dislocations: Including dislocation drag from phonon wind
journal, August 2020

A dislocation-based multi-rate single crystal plasticity model
journal, May 2013

Line tension of a dislocation moving through an anisotropic crystal
journal, June 2018

Probing the character of ultra-fast dislocations
journal, November 2015

Dislocation drag and its influence on elastic precursor decay
journal, September 2021

Nonuniform motion of an edge dislocation in an anisotropic solid. I
journal, January 1984

Anisotropic continuum theory of lattice defects
journal, January 1980

Uniformly Moving Dislocations in Anisotropic Media
journal, August 1954

Elastic surface waves in anisotropic crystals: a simplified method for calculating Rayleigh velocities using dislocation theory
journal, June 1973

Uniformly Moving Dislocations in Anisotropic Media
journal, January 1953

The mechanics and physics of high-speed dislocations: a critical review
journal, April 2020

A general solution for accelerating screw dislocations in arbitrary slip systems with reflection symmetry
journal, July 2021