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Reflection and transmission of elastic waves at the interface between two gradient-elastic solids with surface energy
Alternative TitleEUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Li YQ; Wei PJ; Teng HH(滕宏辉); Wei, PJ (reprint author), Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, Peoples R China.
Source PublicationEUROPEAN JOURNAL OF MECHANICS A-SOLIDS
2015-07
Volume52Pages:54-71
ISSN0997-7538
AbstractThe reflection and transmission of an incident plane wave at an interface between two gradient elastic solids with surface energy are studied. First, some functions of strain energy density with the surface effects taken into consideration are postulated and the surface effects of gradient elastic solid are incorporated into the constitutive relations. Then, the nontraditional interface conditions by requiring the auxiliary monopolar tractions and the auxiliary dipolar tractions continuous across the interface are used to determine the reflection and transmission coefficients. Some numerical results of the reflection and transmission coefficient in terms of energy flux ratio are given for different microstructure parameters and surface parameters. The microstructure effects and the surface energy effects on the reflection and transmission waves are discussed based on the numerical results. It is found that the microstructure effects result in the appearance of two surface waves and the surface energy effects have apparent different influence on the body waves in gradient elastic solids and the surface waves at the interface. However, this phenomenon becomes pronounced only when the incident wavelength is close to the characteristic length of microstructure. (C) 2015 Elsevier Masson SAS. All rights reserved.
KeywordGradient Elasticity Microstructure Effects Surface Effects
DOI10.1016/j.euromechsol.2015.02.001
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000353736500006
WOS KeywordHALF-SPACE ; PLANE WAVES ; PROPAGATION ; BOUNDARY ; CONSTANTS ; STRESS
WOS Research AreaMechanics
WOS SubjectMechanics
Funding OrganizationNational Natural Science Foundation of China [10972029] ; Opening fund of State Key Laboratory of Nonlinear Mechanics (LNM)
DepartmentLHD激波与爆轰物理
Classification二类/Q2
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/49987
Collection高温气体动力学国家重点实验室
Corresponding AuthorWei, PJ (reprint author), Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, Peoples R China.
Recommended Citation
GB/T 7714
Li YQ,Wei PJ,Teng HH,et al. Reflection and transmission of elastic waves at the interface between two gradient-elastic solids with surface energy[J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,2015,52:54-71.
APA Li YQ,Wei PJ,Teng HH,&Wei, PJ .(2015).Reflection and transmission of elastic waves at the interface between two gradient-elastic solids with surface energy.EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,52,54-71.
MLA Li YQ,et al."Reflection and transmission of elastic waves at the interface between two gradient-elastic solids with surface energy".EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 52(2015):54-71.
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