Response of harmonic sources in couple stress thermoelastic medium with state space approach

Abstract

Purpose

The purpose of this paper is to investigate the two-dimensional problem in couple stress thermoelastic medium for a half space is established and state space approach has been applied to solve the problem.

Design/methodology/approach

Normal mode analysis is used to obtain the exact expressions for normal stress, tangential stress and couple stress. Numerical calculation is prepared for these quantities and depicted graphically for a special model.

Findings

The expressions for normal stress, tangential stress and couple stress are obtained numerically and depicted graphically to see the couple stress effect.

Originality/value

It is found that couple stress effect decrease the value of normal stress components for circular frequency equal to 0.5 for small values of the wave number and then increases whereas the values of normal stress components decrease first and then increase monotonically for circular frequency equal to 0.1 when the force is applied in normal direction and the values of tangential stress components and couple stress components decrease for all values of wave number. But the values for normal stress components, tangential stress components and couple stress components increase when the force is applied in tangential direction.

Citation

Kumar, R., Kumar, K. and Chandra Nautiyal, R. (2014), "Response of harmonic sources in couple stress thermoelastic medium with state space approach", Multidiscipline Modeling in Materials and Structures, Vol. 10 No. 3, pp. 449-471. https://doi.org/10.1108/MMMS-03-2013-0009