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Effect of hydrostatic initial stress in orthotropic generalized thermoelastic half-space

100%

Ailawalia P.

Journal of Technical Physics

2009

tom Vol. 50, no 4

417-431

The present problem is concerned with the deformation of an orthotropic thermoelastic medium with hydrostatic initial stress, under the influence of mechanical/thermal source acting on the plane surface. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress and temperature distribution. The numerical results are given and presented graphically for the LORD-SHULMAN theory of thermoelasticity [1] when mechanical/thermal source is applied. Comparisons are made in the presence and absence of hydrostatic initial stress and anisotropy.

On Rayleigh wave in generalized magneto-thermoelastic media with hydrostatic initial stress

100%

Singh B. , Kumari S. , Singh J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2012

tom Vol. 60, nr 2

349-352

The governing equations of generalized magneto-thermoelasticity with hydrostatic initial stress are solved for surface wave solutions. The particular solutions in the half-space are applied to the boundary conditions at the free surface of the half-space to obtain the frequency equation of Rayleigh wave. The frequency equation is approximated for small thermal coupling and small reduced frequency. The velocity of propagation and amplitude-attenuation factor of Rayleigh wave are computed numerically for a particular material. Effects of magnetic field and hydrostatic initial stress on the velocity of the propagation and amplitude-attenuation factor are shown graphically.

Thermoelastic waves at an interface between two solid half-spaces under hydrostatic initial stress

100%

Singh B. , Singh J. , Ailawalia P.

Archives of Mechanics

2010

tom Vol. 62, nr 3

177-193

A model of two semi-infinite half-spaces of different thermoelastic solids is considered in welded contact under hydrostatic initial stress. The appropriate boundary conditions are satisfied at the interface to obtain the reflection and refraction coefficients of various reflected and refracted waves during incidence of the quasi-thermal wave. A particular numerical example is considered to show the effect of hydrostatic initial stress on these coefficients for a certain range of the angle of incidence.

Deformation in a Generalized Thermoelastic Medium with Hydrostatic Initial Stress Subjected to Different Sources

72%

Ailawalia P. , Kumar S. , Khurana G.

Mechanics and Mechanical Engineering

2009

tom Vol. 13, nr 1

5-24

In the present problem we study the deformation of a rotating generalized thermoelastic medium with hydrostatic initial stress subjected to three different type of sources. The components of displacement, force stress and temperature distribution are obtained in Laplace and Fourier domain by applying integral transforms. The general solution obtained is applied to a specific problem of a half-space subjected to concentrated force, 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 context of the problem. The results are also presented graphically to show the effect of rotation and hydrostatic initial stress.

Internal Heat Source in Temperature Rate Dependent Thermoelastic Medium with Hydrostatic Initial Stress

58%

Ailawalia P. , Budhiraja S.

Mechanics and Mechanical Engineering

2016

tom Vol. 20, nr 3

263--275

The present work is devoted to study the effect of hydrostatic initial stress in an infinite isotropic generalized thermoelastic medium with the dependence of modulus of elasticity and thermal conductivity on the reference temperature. In view of calculating general problems, a numerical solution technique is to be used. For this purpose, the normal mode analysis method is chosen. The results for the displacement components, force stress and temperature distribution are illustrated graphically with some comparisons. The numerical results are given and presented graphically for Lord–Shulman theory of thermoelasticity when mechanical force is applied.