Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (3): 353-364.doi: https://doi.org/10.1007/s10483-009-0309-6

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Elastodynamic analysis at an interface of viscous fluid/thermoelastic micropolar honeycomb medium due to inclined load

Rajneesh Kumar, Rajani Rani Gupta   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
  • 收稿日期:2008-03-18 修回日期:2008-12-26 出版日期:2009-03-05 发布日期:2009-03-01
  • 通讯作者: Rajneesh Kumar, Professor, E-mail: rajneesh kuk@rediffmail.com E-mail:rajneesh kuk@rediffmail.com

Elastodynamic analysis at an interface of viscous fluid/thermoelastic micropolar honeycomb medium due to inclined load

Rajneesh Kumar, Rajani Rani Gupta   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
  • Received:2008-03-18 Revised:2008-12-26 Online:2009-03-05 Published:2009-03-01
  • Contact: Rajneesh Kumar, Professor, E-mail: rajneesh kuk@rediffmail.com E-mail:rajneesh kuk@rediffmail.com

摘要: In this paper, the effect of angle inclination at the interface of a viscous fluid and thermoelastic micropolar honeycomb solid due to inclined load is investigated. The inclined load is assumed to be a linear combination of normal load and tangential load. Laplace transform with respect to time variable and Fourier transform with respect to space variable are applied to solve the problem. Expressions of stresses, temperature distribution, and pressures in the transformed domain are obtained by introducing potential functions. The numerical inversion technique is used to obtain the solution in the physical domain. The frequency domain expressions for steady state are also obtained with appropriate change of variables. Graphic representations due to the response of different sources and changes of angle inclination are shown. Some particular cases are also discussed.

关键词: viscous fluid, thermoelastic micropolar honeycomb material, inclined load, time harmonic, steady state

Abstract: In this paper, the effect of angle inclination at the interface of a viscous fluid and thermoelastic micropolar honeycomb solid due to inclined load is investigated. The inclined load is assumed to be a linear combination of normal load and tangential load. Laplace transform with respect to time variable and Fourier transform with respect to space variable are applied to solve the problem. Expressions of stresses, temperature distribution, and pressures in the transformed domain are obtained by introducing potential functions. The numerical inversion technique is used to obtain the solution in the physical domain. The frequency domain expressions for steady state are also obtained with appropriate change of variables. Graphic representations due to the response of different sources and changes of angle inclination are shown. Some particular cases are also discussed.

Key words: viscous fluid, thermoelastic micropolar honeycomb material, inclined load, time harmonic, steady state

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