Mechanics of Time-Dependent Materials

, Volume 23, Issue 4, pp 443–463 | Cite as

Two-dimensional problem of a fiber-reinforced thermo-diffusive half-space with four relaxation times

  • Kapil Kumar Kalkal
  • Suresh Kumar Sheokand
  • Sunita DeswalEmail author


The present manuscript is aimed at studying the propagation of plane waves in a fiber-reinforced, anisotropic, thermoelastic half-space with diffusion. The formulation is applied to generalized thermoelasticity based on the Green–Lindsay (G–L) theory. A thermal shock is applied on the surface of the half-space, which is taken to be traction free. The analytical expressions for the displacement components, stresses, concentration and temperature field are obtained in the physical domain by using normal mode analysis. Moreover, the derived expressions are computed numerically, and corresponding graphs are plotted to illustrate and compare theoretical results. Comparisons are made within the theory in the presence and absence of fiber-reinforcement and diffusion. The effect of time on the physical fields is also observed. Some particular cases of interest have been deduced from the present investigation.


Fiber-reinforced Diffusion Generalized thermoelasticity Normal mode analysis Relaxation times 



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).


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

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

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