Elastodynamics Field of Non-Uniformly Moving Dislocation: From 3D to 2D

Molecular dynamics (MD) and experiments indicate that the high-speed dislocations dominate the plasticity properties of crystal materials under high strain rate. New physical features arise accompanied with the increase in dislocation speed, such as the “Lorentz contraction” effect of moving screw d...

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Main Authors: Shichao Luo, Yinan Cui
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Crystals
Subjects:
Online Access:https://www.mdpi.com/2073-4352/12/3/363
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author Shichao Luo
Yinan Cui
author_facet Shichao Luo
Yinan Cui
author_sort Shichao Luo
collection DOAJ
description Molecular dynamics (MD) and experiments indicate that the high-speed dislocations dominate the plasticity properties of crystal materials under high strain rate. New physical features arise accompanied with the increase in dislocation speed, such as the “Lorentz contraction” effect of moving screw dislocation, anomalous nucleation, and annihilation in dislocation interaction. The static description of the dislocation is no longer applicable. The elastodynamics fields of non-uniformly moving dislocation are significantly temporal and spatially coupled. The corresponding mathematical formulas of the stress fields of three-dimensional (3D) and two-dimensional (2D) dislocations look quite different. To clarify these differences, we disclose the physical origin of their connections, which is inherently associated with different temporal and spatial decoupling strategies through the 2D and 3D elastodynamics Green tensor. In this work, the fundamental relationship between 2D and 3D dislocation elastodynamics is established, which has enlightening significance for establishing general high-speed dislocation theory, developing a numerical calculation method based on dislocation elastodynamics, and revealing more influences of dislocation on the macroscopic properties of materials.
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spelling doaj.art-c63fccd64557491c8588c1c6b4cb0afe2023-11-30T20:57:58ZengMDPI AGCrystals2073-43522022-03-0112336310.3390/cryst12030363Elastodynamics Field of Non-Uniformly Moving Dislocation: From 3D to 2DShichao Luo0Yinan Cui1Applied Mechanics Laboratory, School of Aerospace Engineering, Tsinghua University, Beijing 100084, ChinaApplied Mechanics Laboratory, School of Aerospace Engineering, Tsinghua University, Beijing 100084, ChinaMolecular dynamics (MD) and experiments indicate that the high-speed dislocations dominate the plasticity properties of crystal materials under high strain rate. New physical features arise accompanied with the increase in dislocation speed, such as the “Lorentz contraction” effect of moving screw dislocation, anomalous nucleation, and annihilation in dislocation interaction. The static description of the dislocation is no longer applicable. The elastodynamics fields of non-uniformly moving dislocation are significantly temporal and spatially coupled. The corresponding mathematical formulas of the stress fields of three-dimensional (3D) and two-dimensional (2D) dislocations look quite different. To clarify these differences, we disclose the physical origin of their connections, which is inherently associated with different temporal and spatial decoupling strategies through the 2D and 3D elastodynamics Green tensor. In this work, the fundamental relationship between 2D and 3D dislocation elastodynamics is established, which has enlightening significance for establishing general high-speed dislocation theory, developing a numerical calculation method based on dislocation elastodynamics, and revealing more influences of dislocation on the macroscopic properties of materials.https://www.mdpi.com/2073-4352/12/3/363dislocation dynamicselastodynamicsshock loadinghigh strain rate
spellingShingle Shichao Luo
Yinan Cui
Elastodynamics Field of Non-Uniformly Moving Dislocation: From 3D to 2D
Crystals
dislocation dynamics
elastodynamics
shock loading
high strain rate
title Elastodynamics Field of Non-Uniformly Moving Dislocation: From 3D to 2D
title_full Elastodynamics Field of Non-Uniformly Moving Dislocation: From 3D to 2D
title_fullStr Elastodynamics Field of Non-Uniformly Moving Dislocation: From 3D to 2D
title_full_unstemmed Elastodynamics Field of Non-Uniformly Moving Dislocation: From 3D to 2D
title_short Elastodynamics Field of Non-Uniformly Moving Dislocation: From 3D to 2D
title_sort elastodynamics field of non uniformly moving dislocation from 3d to 2d
topic dislocation dynamics
elastodynamics
shock loading
high strain rate
url https://www.mdpi.com/2073-4352/12/3/363
work_keys_str_mv AT shichaoluo elastodynamicsfieldofnonuniformlymovingdislocationfrom3dto2d
AT yinancui elastodynamicsfieldofnonuniformlymovingdislocationfrom3dto2d