Linear analysis of Atwood number effects on shear instability in the elastic–plastic solids

Abstract The evolution of shear instability between elastic–plastic solid and ideal fluid which is concerned in oblique impact is studied by developing an approximate linear theoretical model. With the velocities expressed by the velocity potentials from the incompressible and irrotational continuit...

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Autores principales:	Xi Wang, Xiao-Mian Hu, Sheng-Tao Wang, Hao Pan, Jian-Wei Yin
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/65fd0268748e41d89fed577ba966dfde
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spelling	oai:doaj.org-article:65fd0268748e41d89fed577ba966dfde2021-12-02T17:41:18ZLinear analysis of Atwood number effects on shear instability in the elastic–plastic solids10.1038/s41598-021-96738-12045-2322https://doaj.org/article/65fd0268748e41d89fed577ba966dfde2021-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-96738-1https://doaj.org/toc/2045-2322Abstract The evolution of shear instability between elastic–plastic solid and ideal fluid which is concerned in oblique impact is studied by developing an approximate linear theoretical model. With the velocities expressed by the velocity potentials from the incompressible and irrotational continuity equations and the pressures obtained by integrating momentum equations with arbitrary densities, the motion equations of the interface amplitude are deduced by considering the continuity of normal velocities and the force equilibrium with the perfectly elastic–plastic properties of solid at interface. The completely analytical formulas of the growth rate and the amplitude evolution are achieved by solving the motion equations. Consistent results are performed by the model and 2D Lagrange simulations. The characteristics of the amplitude development and Atwood number effects on the growth are discussed. The growth of the amplitude is suppressed by elastic–plastic properties of solids in purely elastic stage or after elastic–plastic transition, and the amplitude oscillates if the interface is stable. The system varies from stable to unstable state as Atwood number decreasing. For large Atwood number, elastic–plastic properties play a dominant role on the interface evolution which may influence the formation of the wavy morphology of the interface while metallic plates are suffering obliquely impact.Xi WangXiao-Mian HuSheng-Tao WangHao PanJian-Wei YinNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Xi Wang Xiao-Mian Hu Sheng-Tao Wang Hao Pan Jian-Wei Yin Linear analysis of Atwood number effects on shear instability in the elastic–plastic solids
description	Abstract The evolution of shear instability between elastic–plastic solid and ideal fluid which is concerned in oblique impact is studied by developing an approximate linear theoretical model. With the velocities expressed by the velocity potentials from the incompressible and irrotational continuity equations and the pressures obtained by integrating momentum equations with arbitrary densities, the motion equations of the interface amplitude are deduced by considering the continuity of normal velocities and the force equilibrium with the perfectly elastic–plastic properties of solid at interface. The completely analytical formulas of the growth rate and the amplitude evolution are achieved by solving the motion equations. Consistent results are performed by the model and 2D Lagrange simulations. The characteristics of the amplitude development and Atwood number effects on the growth are discussed. The growth of the amplitude is suppressed by elastic–plastic properties of solids in purely elastic stage or after elastic–plastic transition, and the amplitude oscillates if the interface is stable. The system varies from stable to unstable state as Atwood number decreasing. For large Atwood number, elastic–plastic properties play a dominant role on the interface evolution which may influence the formation of the wavy morphology of the interface while metallic plates are suffering obliquely impact.
format	article
author	Xi Wang Xiao-Mian Hu Sheng-Tao Wang Hao Pan Jian-Wei Yin
author_facet	Xi Wang Xiao-Mian Hu Sheng-Tao Wang Hao Pan Jian-Wei Yin
author_sort	Xi Wang
title	Linear analysis of Atwood number effects on shear instability in the elastic–plastic solids
title_short	Linear analysis of Atwood number effects on shear instability in the elastic–plastic solids
title_full	Linear analysis of Atwood number effects on shear instability in the elastic–plastic solids
title_fullStr	Linear analysis of Atwood number effects on shear instability in the elastic–plastic solids
title_full_unstemmed	Linear analysis of Atwood number effects on shear instability in the elastic–plastic solids
title_sort	linear analysis of atwood number effects on shear instability in the elastic–plastic solids
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/65fd0268748e41d89fed577ba966dfde
work_keys_str_mv	AT xiwang linearanalysisofatwoodnumbereffectsonshearinstabilityintheelasticplasticsolids AT xiaomianhu linearanalysisofatwoodnumbereffectsonshearinstabilityintheelasticplasticsolids AT shengtaowang linearanalysisofatwoodnumbereffectsonshearinstabilityintheelasticplasticsolids AT haopan linearanalysisofatwoodnumbereffectsonshearinstabilityintheelasticplasticsolids AT jianweiyin linearanalysisofatwoodnumbereffectsonshearinstabilityintheelasticplasticsolids
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Linear analysis of Atwood number effects on shear instability in the elastic–plastic solids

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