Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (5): 605-616.doi: https://doi.org/10.1007/s10483-010-0508-x

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Response of loose bonding on reflection and transmission of elastic waves at interface between elastic solid and micropolar porous cubic crystal

 Rajneesh KUMAR, Meenakshi PANCHAL   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
  • 收稿日期:2009-05-01 修回日期:2010-01-14 出版日期:2010-05-20 发布日期:2010-05-01

Response of loose bonding on reflection and transmission of elastic waves at interface between elastic solid and micropolar porous cubic crystal

 Rajneesh KUMAR, Meenakshi PANCHAL   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
  • Received:2009-05-01 Revised:2010-01-14 Online:2010-05-20 Published:2010-05-01

摘要: The problem of reflection and transmission of plane periodic waves incident on the interface between the loosely bonded elastic solid and micropolar porous cubic crystal half spaces is investigated. This is done by assuming that the interface behaves like a dislocation, which preserves the continuity of traction while allowing a finite amount of slip. Amplitude ratios of various reflected and transmitted waves have been depicted graphically. Some special cases of interest have been deduced from the present investigation.

关键词: micropolar, porous, cubic crystal, reflection coefficients, transmission coefficients, bonding parameter

Abstract: The problem of reflection and transmission of plane periodic waves incident on the interface between the loosely bonded elastic solid and micropolar porous cubic crystal half spaces is investigated. This is done by assuming that the interface behaves like a dislocation, which preserves the continuity of traction while allowing a finite amount of slip. Amplitude ratios of various reflected and transmitted waves have been depicted graphically. Some special cases of interest have been deduced from the present investigation.

Key words: micropolar, porous, cubic crystal, reflection coefficients, transmission coefficients, bonding parameter

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