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2 International Journal of Applied Mechanics and Engineering

2 2011

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Transient thermo-elastic disturbances in a visco-elastic semi-space due to a moving internal heat source

Lotfy K.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 3

747-762

This paper investigates the transient disturbances created by an internal line heat source that suddenly starts moving uniformly inside a visco-elastic half-space. The generalised theory of thermo-elasticity with relaxation time proposed by Lord-Shulman (1967) is applied. The material of the semi-infinite medium is isotropic visco-elastic solid of Kelvin-Voight type. Applying the Fourier and Laplace transform technique, expressions for displacement components in the transformed domain are found out. These expressions prove the existence of three waves - a modified thermal wave, a visco-elastic wave of defused nature and a transverse visco-elastic wave. Surface displacement components are evaluated on the boundary for small time only. Numerical results are given and illustrated graphically to highlight the variations of surface displacement components with distance for different values of time, source depth and velocity of the source.

The effect of thermal relaxation times on wave propagation of a micropolar thermoelastic medium with voids due to various sources

Othman M. I. A., Lotfy K.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 3

791-807

A model of the equations of a two-dimensional problem with the deformation of a micropolar generalized thermoelastic medium with voids under the influence of various sources is formulated in the context of the Lord-Shulman, Green-Lindsay theories, as well as the classical dynamical coupled theory. The normal mode analysis is used to obtain the exact expressions of the displacement components, force stress, coupled stress, change in volume fraction field and temperature distribution. Numerical results are given and illustrated graphically when the volume source is applied. Comparisons are made with the results predicted by the three theories in the presence and absence of material constants due to voids.