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

Thermoelastic plane waves without energy dissipation in a half-space due to time-dependent heating of the boundary

The linear theory of thermoelasticity without energy dissipation for homogeneous and isotropic materials is used to study plane waves in a half-space. The waves are supposed to be caused by a time-dependent heating of the stressfree boundary, which includes (i) sudden heating to a constant temperature, (ii) smooth heating for all times, (iii) smooth heating followed by sudden cooling, and (iv) smooth heating that becomes constant after a lapse of time, among its particular cases. The Laplace transform method is used to solve the problem. Exact solutions, in closed form, for the displacement, temperature, and stress fields are obtained and analyzed. Numerical results that illustrate the theoretical analysis are presented

Thermoelastic interactions without energy dissipation due to a line heat source

The linear theory of thermoelasticity without energy dissipation is employed to study thermoelastic interactions due to a continuous line source of heat in a homogeneous and isotropic unbounded solid. Laplace and Hankel transforms are employed to solve the problem. Exact expressions, in closed form, for the temperature and stress fields are obtained. Numerical results for a hypothetical, copper-like material are presented with the view of illustrating the theoretical results

Thermoelastic interactions without energy dissipation due to a point heat source

The linear theory of thermoelasticity without energy dissipation is employed to study thermoelastic interactions due to a continuous point heat source in a homogeneous and isotropic unbounded solid. The Laplace transform method is employed to solve the problem. Exact expressions, in closed form, for the displacement, temperature and stress fields are obtained. Numerical results for a copper-like material are presented

One-dimensional waves in a thermoelastic half-space without energy dissipation

The theory of thermoelasticity without energy dissipation is employed to study one-dimensional disturbances in a half-space with rigid plane boundary. The disturbances are supposed to be due to a constant step in temperature applied to the boundary. The Laplace transform method is employed to solve the problem. Exact expressions for displacement, temperature and stress fields are obtained. The characteristic features of the underlying theory are analysed by comparing these expressions with their counterparts in other generalized thermoelasticity theories. Copyright © 1996 Elsevier Science Ltd