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Reflection of plane waves at the initially stressed surface of a fiber-reinforced thermoelastic half space with temperature dependent properties

  • Sunita Deswal
  • Baljit Singh Punia
  • Kapil Kumar KalkalEmail author
Article

Abstract

In this paper, a model of two dimensional problem of generalized thermoelasticity for a fiber-reinforced anisotropic elastic medium under the effect of temperature dependent properties is established. Reflection phenomena of plane waves in an initially stressed thermoelastic medium is studied in the context of two theories proposed by Lord–Shulman and Green–Lindsay. Using proper boundary conditions, the amplitude ratios and energy ratios for various reflected waves are presented. The phase speeds, reflection coefficients and energy ratios are computed numerically with the help of MATLAB programming and are depicted graphically to show the effect of initial stress and temperature dependent properties. It is found that there is no dissipation of energy at the boundary surface during reflection. A comparison between the two theories is also depicted in the present investigation.

Keywords

Reflection Anisotropic material Fiber-reinforced Initial stress Temperature dependent elastic modulus 

Mathematics Subject Classification

74A15 80A20 

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Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  • Sunita Deswal
    • 1
  • Baljit Singh Punia
    • 1
  • Kapil Kumar Kalkal
    • 1
    Email author
  1. 1.Department of MathematicsGuru Jambheshwar University of Science and TechnologyHisarIndia

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