Effect of hydrostatic initial stress on a fiber-reinforced thermoelastic medium with fractional derivative heat transfer

Abstract

Purpose

The purpose of this paper is to investigate the influences of fractional order, hydrostatic initial stress and gravity field on the plane waves in a linearly fiber-reinforced isotropic thermoelastic medium.

Design/methodology/approach

The problem has been solved analytically and numerically by using the normal mode analysis.

Findings

Numerical results for the temperature, the displacement components and the stress components are presented graphically and analyzed the results. The graphical results indicate that the effect of fractional order, hydrostatic initial stress and gravity field on the plane waves in the fiber-reinforced thermoelastic medium are very pronounced. Comparisons are made with the results in the absence and presence of hydrostatic initial stress and gravity field.

Originality/value

In the present work, the authors shall formulate a fiber-reinforced two-dimensional problem under the effect of fractional order, hydrostatic initial stress, and gravity field. The normal mode analysis is used to obtain the exact expression for the temperature, displacement components, and stress components. A comparison is also made between the three theories in the absence and presence of gravity field. Such problems are very important in many dynamical systems.

Citation

Ibrahim Othman, M., M. Said, S. and Sarker, N. (2013), "Effect of hydrostatic initial stress on a fiber-reinforced thermoelastic medium with fractional derivative heat transfer", Multidiscipline Modeling in Materials and Structures, Vol. 9 No. 3, pp. 410-426. https://doi.org/10.1108/MMMS-11-2012-0026