Structural Engineering and Mechanics

Volume 68, Number 2, 2018, pages 215-226

DOI: 10.12989/sem.2018.68.2.215

Effect of heat source and gravity on a fractional order fiber reinforced thermoelastic medium

Kavita Jain, Kapil Kumar Kalkal and Sunita Deswal

Abstract

In this article, the theory of fractional order two temperature generalized thermoelasticity is employed to study the wave propagation in a fiber reinforced anisotropic thermoelastic half space in the presence of moving internal heat source. The whole space is assumed to be under the influence of gravity. The surface of the half-space is subjected to an inclined load. Laplace and Fourier transform techniques are employed to solve the problem. Expressions for different field variables in the physical domain are derived by the application of numerical inversion technique. Physical fields are presented graphically to study the effects of gravity and heat source. Effects of time, reinforcement, fractional parameter and inclination of load have also been reported. Results of some earlier workers have been deduced from the present analysis. 2010MSC: 74A15, 80A20.

Key Words

fiber reinforcement; gravity; heat source; two temperature; fractional order theory

Address

Kavita Jain, Kapil Kumar Kalkal and Sunita Deswal: Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar-125001, Haryana, India