Elastodynamic behaviors of steady moving straight dislocation within thin nano film

The elastodynamic dislocation behaviors are of great interest for understanding the performances of structural alloys under intense dynamic loading conditions. The formation, propagations, and interactions of dislocations (such as injected dislocation, accelerating dislocation, steady moving disloca...

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Main Authors: Ran Tao, Yehui Hong, Zheyu Li, Wenwang Wu
Format: Article
Language:English
Published: Elsevier 2024-09-01
Series:Theoretical and Applied Mechanics Letters
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S209503492400062X
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author Ran Tao
Yehui Hong
Zheyu Li
Wenwang Wu
author_facet Ran Tao
Yehui Hong
Zheyu Li
Wenwang Wu
author_sort Ran Tao
collection DOAJ
description The elastodynamic dislocation behaviors are of great interest for understanding the performances of structural alloys under intense dynamic loading conditions. The formation, propagations, and interactions of dislocations (such as injected dislocation, accelerating dislocation, steady moving dislocation at high constant speed) are quite different from static dislocations. For steady-moving dislocation within the isotropic infinite medium, the effects of surface and interface on steady-moving dislocations within limited space are still known. In this paper, we investigate the elastodynamic image stress simulation of steady moving dislocation within film of limited thickness at constant speed using Eigenstrain theory, Lorentz transformation, and steady dynamic equilibrium equations. We propose an efficient solution method that involves complex Fourier series, transforming partial differential equations into ordinary differential equations, and ultimately into a set of algebraic equations in spectral space. The effects of dislocation speed and position near the free surface on the image stress of steady-moving climbing and gliding dislocations within the thin film are examined. The results show that relativistic effects are significant for certain dislocation configurations and stress components, whereas other stress components are less sensitive to relativistic effects near the transonic speed region.
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institution Kabale University
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publishDate 2024-09-01
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series Theoretical and Applied Mechanics Letters
spelling doaj-art-f54a4b27cc41483f850a1efb47c33a082024-12-17T04:59:31ZengElsevierTheoretical and Applied Mechanics Letters2095-03492024-09-01145100551Elastodynamic behaviors of steady moving straight dislocation within thin nano filmRan Tao0Yehui Hong1Zheyu Li2Wenwang Wu3Institute of Advanced Structure Technology, Beijing Institute of Technology, Beijing 100081, ChinaInstitute of Advanced Structure Technology, Beijing Institute of Technology, Beijing 100081, ChinaInstitute of Advanced Structure Technology, Beijing Institute of Technology, Beijing 100081, ChinaSuzhou laboratory, Suzhou 215028, China; Corresponding author.The elastodynamic dislocation behaviors are of great interest for understanding the performances of structural alloys under intense dynamic loading conditions. The formation, propagations, and interactions of dislocations (such as injected dislocation, accelerating dislocation, steady moving dislocation at high constant speed) are quite different from static dislocations. For steady-moving dislocation within the isotropic infinite medium, the effects of surface and interface on steady-moving dislocations within limited space are still known. In this paper, we investigate the elastodynamic image stress simulation of steady moving dislocation within film of limited thickness at constant speed using Eigenstrain theory, Lorentz transformation, and steady dynamic equilibrium equations. We propose an efficient solution method that involves complex Fourier series, transforming partial differential equations into ordinary differential equations, and ultimately into a set of algebraic equations in spectral space. The effects of dislocation speed and position near the free surface on the image stress of steady-moving climbing and gliding dislocations within the thin film are examined. The results show that relativistic effects are significant for certain dislocation configurations and stress components, whereas other stress components are less sensitive to relativistic effects near the transonic speed region.http://www.sciencedirect.com/science/article/pii/S209503492400062XElastodynamicImage stressDislocationThin film
spellingShingle Ran Tao
Yehui Hong
Zheyu Li
Wenwang Wu
Elastodynamic behaviors of steady moving straight dislocation within thin nano film
Theoretical and Applied Mechanics Letters
Elastodynamic
Image stress
Dislocation
Thin film
title Elastodynamic behaviors of steady moving straight dislocation within thin nano film
title_full Elastodynamic behaviors of steady moving straight dislocation within thin nano film
title_fullStr Elastodynamic behaviors of steady moving straight dislocation within thin nano film
title_full_unstemmed Elastodynamic behaviors of steady moving straight dislocation within thin nano film
title_short Elastodynamic behaviors of steady moving straight dislocation within thin nano film
title_sort elastodynamic behaviors of steady moving straight dislocation within thin nano film
topic Elastodynamic
Image stress
Dislocation
Thin film
url http://www.sciencedirect.com/science/article/pii/S209503492400062X
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AT wenwangwu elastodynamicbehaviorsofsteadymovingstraightdislocationwithinthinnanofilm