Thermo-diffusive interactions in a fiber-reinforced elastic medium with gravity and initial stress

  • Sunita Deswal
  • Suresh Kumar Sheokand
  • Kapil Kumar KalkalEmail author
Technical Paper


In the present article, an appraisement is made to investigate the effects of gravity and initial stress in a fiber-reinforced, anisotropic, thermoelastic half-space with diffusion. The enuciation is applied to generalized thermoelasticity based on Lord–Shulman (L–S) theory. Solutions are obtained in the frequency domain, by using a standard mathematical technique. The physical quantities are established numerically and represented graphically in the presence and absence of gravity, initial stress, fiber-reinforcement and diffusion. The results indicate that the effects of gravity, initial stress and the parameters of fiber-reinforced material medium are very pronounced. Moreover, some particular cases of interest have been deduced from the present investigation. The datum of a finite speed of wave propagation is observed for each field.


Fiber-reinforcement Diffusion Gravity Initial stress Mechanical load 

Mathematics Subject Classification

74A15 80A20 



One of the authors, Suresh Kumar Sheokand, is thankful to University Grants Commission, New Delhi, for the financial support Vide Letter no. F. 17- 11/2008 (SA-1).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  • Sunita Deswal
    • 1
  • Suresh Kumar Sheokand
    • 1
  • Kapil Kumar Kalkal
    • 1
    Email author
  1. 1.Department of MathematicsGuru Jambheshwar University of Science and TechnologyHisarIndia

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