Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (11): 1445-1454.doi: https://doi.org/10.1007/s10483-009-1110-6

• Articles • 上一篇    下一篇

Propagation of plane waves at the imperfect boundary of elastic and electro-microstretch generalized thermoelastic solids

Rajneesh Kumar, Rupender   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
  • 收稿日期:2009-05-18 修回日期:2009-09-25 出版日期:2009-12-02 发布日期:2009-11-01

Propagation of plane waves at the imperfect boundary of elastic and electro-microstretch generalized thermoelastic solids

Rajneesh Kumar, Rupender   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
  • Received:2009-05-18 Revised:2009-09-25 Online:2009-12-02 Published:2009-11-01

摘要: The problem of reflection and transmission of plane waves incident on the contact surface of an elastic solid and an electro-microstretch generalized thermoelastic solid is discussed. It is found that there exist five reflected waves, i.e., longitudinal displacement (LD) wave, thermal (T) wave, longitudinal microstretch (LM) wave and two coupled transverse displacement and microrotational (CD(I) and CD(II)) waves in the electro-microstretch generalized thermoelastic solid, and two transmitted waves, i.e., longitudinal (P) and transverse (SV) waves in the elastic solid. The amplitude ratios of different reflected and transmitted waves are obtained for an imperfect boundary and deduced for normal force stiffness, transverse force stiffness, and perfect bonding. The variations of amplitude ratios with incidence angles have been depicted graphically for
the LD wave and the CD(I) wave. It is noticed that the amplitude ratios of reflected and transmitted waves are affected by the stiffness, electric field, stretch, and thermal properties of the media. Some particular interest cases have been deduced from the present investigations.

关键词: amplitude ratios, electro-microstretch thermoelastic solid, normal force stiffness, transverse force stiffness, welded contact

Abstract: The problem of reflection and transmission of plane waves incident on the contact surface of an elastic solid and an electro-microstretch generalized thermoelastic solid is discussed. It is found that there exist five reflected waves, i.e., longitudinal displacement (LD) wave, thermal (T) wave, longitudinal microstretch (LM) wave and two coupled transverse displacement and microrotational (CD(I) and CD(II)) waves in the electro-microstretch generalized thermoelastic solid, and two transmitted waves, i.e., longitudinal (P) and transverse (SV) waves in the elastic solid. The amplitude ratios of different reflected and transmitted waves are obtained for an imperfect boundary and deduced for normal force stiffness, transverse force stiffness, and perfect bonding. The variations of amplitude ratios with incidence angles have been depicted graphically for
the LD wave and the CD(I) wave. It is noticed that the amplitude ratios of reflected and transmitted waves are affected by the stiffness, electric field, stretch, and thermal properties of the media. Some particular interest cases have been deduced from the present investigations.

Key words: amplitude ratios, electro-microstretch thermoelastic solid, normal force stiffness, transverse force stiffness, welded contact

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