Effect of rotation in a generalized thermoelastic medium with two temperature under hydrostatic initial stress and gravity

Abstract

Purpose

The purpose of this paper is to study the deformation of a rotating generalized thermoelastic medium with two temperatures under hydrostatic initial stress subjected to different types of sources.

Design/methodology/approach

The methodology applied here is the use of integral transforms to obtain the components of displacement, force stress, conductive temperature and temperature distribution in Laplace and Fourier domain. The general solution obtained is applied to a specific problem of a half‐space subjected to concentrated force, uniformly distributed force and a moving source. These components are then obtained in the physical domain by applying a numerical inversion method. Some particular cases are also discussed in the context of the problem. The results obtained are also presented graphically to show the effect of rotation and gravity.

Findings

The variations of all the quantities and for all the mediums are similar for concentrated force and distributed forces applied along the free surface of the solid. The values of these quantities are very close to each other for GTES and GTESWG. Deformation of a body depends on the nature of force applied as well as the type of boundary conditions. The variations of all the quantities are more uniform in nature when a force of constant magnitude moves along the surface of solid with some velocity.

Originality/value

Such types of problems in rotating media will find great applications in many dynamical systems and industries.

Citation

Ailawalia, P., Kumar, S. and Pathania, D. (2010), "Effect of rotation in a generalized thermoelastic medium with two temperature under hydrostatic initial stress and gravity", Multidiscipline Modeling in Materials and Structures, Vol. 6 No. 2, pp. 185-205. https://doi.org/10.1108/15736101011067984