Plane waves and fundamental solution in a couple stress generalized thermoelastic solid

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• 作者：Rajneesh Kumar (1)
  Krishan Kumar (2) (3)
  Ravendra Chandra Nautiyal (2)
  
• 关键词：Couple stress ; Fundamental solution ; Thermoelastic ; Steady oscillations ; Plane waves ; 74F05 ; 80A17
• 刊名：Afrika Matematika
• 出版年：2014
• 出版时间：September 2014
• 年：2014
• 卷：25
• 期：3
• 页码：591-603
• 全文大小：321 KB
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• 作者单位：Rajneesh Kumar (1)
  Krishan Kumar (2) (3)
  Ravendra Chandra Nautiyal (2)
  
  1. Department of Mathematics, Kurukshetra University, Kurukshetra, 136119, Haryana, India
  2. Department of Mathematics, DeenBandhu Chhotu Ram University of Science and Technology, Murthal, Sonipat, 131001, Haryana, India
  3. N. C. College of Engineering, Israna, Panipat, 132107, Haryana, India
  
• ISSN：2190-7668

文摘

The present work deals with the study of the propagation of plane waves in a homogeneous isotropic couple stress generalized thermoelastic solids. It is found that, for one dimensional model of isotropic couple stress generalized thermoelastic solids, there exists two types of longitudinal waves namely, Longitudinal wave (P-wave) and thermal wave (T-wave) and a transverse wave. The phase velocity, attenuation coefficients, specific loss and penetration depth are computed numerically and phase velocity and attenuation coefficient is depicted graphically. In addition, we construct the fundamental solutions of system of differential equations in the theory of couple stress generalized thermoelastic solids in case of steady oscillations in terms of elementary functions. Some properties of fundamental solution are also established. Some special cases are also derived.