Magneto-elastic transverse surface waves in an internal stratum

Transverse surface waves in a stratum of uniform thickness, bounded on both sides by very deep layers of different materials, are investigated in the context of magneto-elasticity. Assuming that all the three materials are perfect conductors of electricity, it is found that the waves can exist for all orientations of the initial magnetic field and that the field increases, in general, the bounds for phase velocity. Other effects of the field on the physical properties of the material and on the phase velocity and frequency of waves are also considered in detail. © 1977 Indian Academy of Sciences

Mechanocaloric effect on magnetothermoelastic interactions in a cylindrical conductor carrying an electric current

The mechanocaloric effect on magnetothermoelastostatic interactions in a cylindrical conductor carrying a uniform electric current is investigated. It is found that this effect reduces the Joule heating effect and induces non-linearity into the behavior of stresses. A condition under which the mechanocaloric effect nullifies the Joule effect is also obtained. © 1978 Taylor & Francis Group, LLC

On plane strain problems in magneto-thermo-visco-elasticity

Plane strain problems on magneto-thermo-visco-elastic interactions in a parallel union of the Kelvin and Maxwell bodies are investigated using the basic equations of electrodynamics and thermo-visco-elasticity. Assuming that the applied magnetic field is transverse to the plane of deformation and that the material is a perfect conductor of electricity, it is seen that the heat sources and the potential part of the body forces produce longitudinal waves only and the rotational part of the body forces gives rise to transverse waves only. The effect of deformation on magnetic permeability is equivalent to an anisotropic rescaling of the primary magnetic field. The effect of the applied magnetic field on waves produced by a plane heat source is equivalent to increasing the value of the material constants which results in an increase in the speed of the waves

On love waves in a stratified hypoelastic solid with material boundary

Transverse surface waves in a half-space covered with a stratum of a different material are investigated in the context of hypoelasticity of grade zero, taking into account the surface stress effects on the boundary. It is found that the wave motion is possible and that unlike in the corresponding problem with classical boundary, the variation of amplitude in the stratum may be either periodic or exponential. When the amplitude in the stratum is periodic, the motion is similar to that in a stratum bounded on both sides by very deep layers of different elastic or hypoelastic materials. © 1977 Indian Academy of Sciences

Axisymmetric Thermoelastic Interactions without Energy Dissipation in an Unbounded Body with Cylindrical Cavity

The linear theory of thermoelasticity without energy dissipation is employed to study thermoelastic interactions in a homogeneous and isotropic unbounded body containing a cylindrical cavity. The interactions are supposed to be due to a constant step in radial stress or temperature applied to the boundary of the cavity, which is maintained at a constant temperature or zero radial stress (as the case may be). By using the Laplace transform technique, it is found that the interactions consist of two coupled waves both of which propagate with a finite speed but with no attenuation. The discontinuities that occur at the wavefronts are computed. Numerical results applicable to a copper-like material are presented

Comments on the articles "Hyperbolic thermoelasticity: A review of recent literature" (Chandrasekharaiah DS, 1998, appl mech rev 51(12), 705-729) and "Thermoelasticity with second sound: a review" (Chandrasekharaiah DS, 1986, appl mech rev 39(3), 355-376)

This review article is a continuation of a previous article by the author, Thermoelasticity with second sound: A review, which appeared in this journal in March, 1986 (Appl Mech Rev39 (3) 355-376). Here, attention is focused on papers published during the past 10-12 years. Contributions to the theory of thermoelasticity with thermal relaxation and the temperature-rate dependent thermoelasticity theory are reviewed. The recently developed theory of thermoelasticity without energy dissipation is described, and its characteristic features highlighted. A glance is made at the new thermoelasticity theory which includes the so-called dual-phase-lag effects. There are 338 references

Plane waves in a rotating elastic solid with voids

Plane waves in a linear, homogeneous and isotropic unbounded clastic solid containing a distribution of vacuous pores (voids) and rotating with a uniform angular velocity are studied. The effects of rotation of the body on the phase speed, energy loss and decay coefficient are analysed in some detail for small and large frequency dilatational waves influenced by the presence of voids. Results obtained earlier are recovered as particular cases of the more general results obtained here. © 1987

A temperature-rate-dependent theory of thermopiezoelectricity

Governing equations of a temperature-rate-dependent thermopiezoelectricity theory which predicts a finite speed of propagation of thermal signals are obtained. A uniqueness theorem for solutions, a variational principle of Hamilton-type, and a reciprocal theorem are deduced in the context of the linearized theory. © 1984 Taylor & Francis Group, LLC

A uniqueness theorem in the theory of thermoelasticity without energy dissipation

In the context of the linear theory of thermoelasticity without energy dissipation for homogeneous and Isotropic materials, an initial boundary value problem in terms of stress and entropy-flux is formulated and the uniqueness of its solution established