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The effect of initial stress on generalized thermoviscoelastic medium with voids and temperature-dependent properties under Green-Neghdi theory

Othman M. I. A., Fekry M.

Mechanics and Mechanical Engineering

2017

Vol. 21, nr 2

291--308

The present paper aims to study the effect of initial stress on the 2-D problem of a homogeneous, isotropic, generalized thermo-viscoelastic material with voids in the context of Green-Naghdi theory. The modulus of elasticity is taken as a linear function of reference temperature. The analytical expressions for the physical quantities are obtained in the physical domain by using the normal mode analysis. These expressions are calculated numerically for a specific material and explained graphically. Comparisons are made with the results predicted by (G-N II) and (G-N III) theory in the presence and absence of the initial stress and temperature-dependent properties.

The effect of gravity and diffusion on micropolar thermoelasticity with temperature-dependent elastic medium under G-N theory

Othman M. I. A., Hilal M. I. M., Elmaklizi Y. D.

Mechanics and Mechanical Engineering

2017

Vol. 21, nr 3

657--677

This article studies the effect of the gravity field and the diffusion on micropolar thermoelastic medium with dependence on the temperature properties. The analytic method used to obtain the exact formula of the physical quantities was the normal mode analysis. The comparisons established graphically in the presence and the absence of the gravity, the temperature-dependent properties, the diffusion and the micropolar in the context of two types of Green-Naghdi (G-N) theory II and III.

Effect of hydrostatic initial stress in Green-Naghdi (Type III) thermoelastic half-space subjected to ramp-type heating and loading

Ailawalia P.

Journal of Technical Physics

2009

Vol. 50, no 4

403-415

The Green and Naghdi theory of thermoelasticity is employed to study the deformation of thermoelastic solid half-space under hydrostatic initial stresses, subjected to ramp-type heating and loading at the free surface. A linear temperature ramping function is used to more realistically model thermal loading of the half-space surface. The components of displacement, stress arid temperature distribution are obtained in Laplace and Fourier domain by applying integral transforms. These components are then obtained in the physical domain by applying a numerical inversion method. Numerical computations are carried out for a particular example of the model. The results are also presented graphically to show the effect of hydrostatic initial stress and ramping parameter in the medium.