Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (6): 781-792 .doi: https://doi.org/10.1007/s10483-006-0609-z

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DEFORMATION DUE TO TIME HARMONIC SOURCES IN MICROPOLAR THERMOELASTIC MEDIUM POSSESSING CUBIC SYMMETRY WITH TWO RELAXATION TIMES

  

  • 收稿日期:2005-05-23 修回日期:2005-08-18 出版日期:2006-06-18 发布日期:2006-06-18

DEFORMATION DUE TO TIME HARMONIC SOURCES IN MICROPOLAR THERMOELASTIC MEDIUM POSSESSING CUBIC SYMMETRY WITH TWO RELAXATION TIMES

Rajneesh Kumar, Praveen Ailawalia   

    1. Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, INDIA, 136119;
    2. Department of Applied Sciences, Institute of Engineering and Emerging Technologies, Makhnumajra, Baddi Distt. Solan, H.P, INDIA, 173205
  • Received:2005-05-23 Revised:2005-08-18 Online:2006-06-18 Published:2006-06-18
  • Contact: Rajneesh Kumar

Abstract: The response of a micropolar thermoelastic medium possessing cubic symmetry with two relaxation times due to time harmonic sources is investigated. Fourier transform is employed and the transform is inverted by using a numerical inversion technique. The components of displacement, stress, microrotation and temperature distribution in the physical domain are obtained numerically. The results of normal displacement, normal force stress, tangential couple stress and temperature distribution are compared for micropolar cubic crystal and micropolar isotropic solid. The numerical results are illustrated graphically for a particular material. Some special cases are also deduced.

Key words: time harmonic, thermoelastic, micropolar medium, cubic symmetry, microrotation, Fourier transform

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