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Effect Of Shallow Buried Nano-hole/Movable Inclusion On SH Wave Scattering In Semi Space

Posted on:2019-06-02Degree:MasterType:Thesis
Country:ChinaCandidate:J K ZhaoFull Text:PDF
GTID:2310330569977964Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
With the continuous development of nanometer science and technology,the requirement of material properties become higher and higher.Due to the increase of the ratio of surface area to volume at nanometer scale,the potential energy difference between surface atom and inner atom of material become large.As a result,the surface effect is obvious and the mechanical properties of nanomaterials and nano-components are obviously different from those of macro-materials.Based on classical elastic theory and surface elastic theory,the effects of shallow buried nano-hole/movable inclusion on SH-wave scattering in elastic semi-space are studied by using the imaginary source method,which the scattering wave function satisfies stress-free at the horizontal boundary in half space.The stress field of the solid and the stress intensity factors around the cavity and inclusion are calculated.The main contents of the study as follows:(1)The effects of the shallow hole in the semi-space on the scattering of SH waves are studied by using the complex function method and the Graf addition formula.(2)By using complex function method,wave function expansion method and Newton's second law,the influence of the shallow buried movable rigid nanoinclusion on the SH wave scattering in the lower half space is studied.The results show that the dynamic stress concentration factors around the cavity and inclusion are related not only to the size of the hole and the inclusion,but also to the surface parameters,the incident wave number and the incident angle.
Keywords/Search Tags:Surface effect, Scattering of SH-waves, Nano-cavity, Moving rigid cylinder inclusion, Dynamic stress concentration factor
PDF Full Text Request
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