Results of exact controllability will be reported for a semilinear thermoelastic system, with control placed in either the mechanical or thermal equation. The controlled partial differential equation (PDE) model will be considered in two cases: (i) rotational forces are present in the PDE, in which case, the underlying dynamics evince hyperbolic behavior; (ii) the rotational inertia parameter i...

This paper deals with discontinuities analysis in the temperature, displacement, and stress fields of a thick plate whose lower and upper surfaces are traction-free and subjected to a given axisymmetric temperature distribution. The analysis is carried out under three thermoelastic theories. Potential functions together with Laplace and Hankel transform techniques are used to derive the solutio...

In this paper, we investigate the null controllability of thermoelastic plates when the control (heat source) acts in the thermal equation. In general, these models consist of an elastic motion equation and a heat equation, which are coupled in such a way that the energy transfer between them is taken into account. The plate, we consider here, is derived in the light of [18]. Transverse shear e...

The stress wave propagation in a generalized thermoelastic polygonal plate of inner and outer cross sections is studied using the Fourier expansion collocation method. The wave equation of motion based on two-dimensional theory of elasticity is applied under the plane strain assumption of generalized thermoelastic plate of polygonal shape, composed of homogeneous isotropic material.  The freque...

This work focuses on the macroscopic behaviour of a large family of first-order phase transitions, including thermoelastic martensitic transformations, which are practically insensitive to thermal fluctuations and need to be driven by an external field. The Random Field Ising Model at T = 0 is used to carry out a detailed study of the dynamics and thermodynamics of this family of fluctuationles...

In this paper, we will highlight the current research which employs the topology optimization to extensional transducers, and porous material microstructures with unusual thermoelastic properties. These examples demonstrate that the topology optimization problem in...

We study a dynamic contact problem for a thermoelastic von Kármán plate vibrating against a rigid obstacle. Dynamics is described by a hyperbolic variational inequality for deflections. The plate is subjected to a perpendicular force and to a heat source. The parabolic equation for a thermal strain resultant contains the time derivative of the deflection. We formulate a weak solution of the sys...

23  Abstract— The present investigation is concerned with effect of rotation on the wave propagation of generalized thermoelastic diffusion with one relaxation time. The exact expressions for temperature, the displacement components, stress components, chemical potential and concentration are obtained and represented graphically. Numerical computations are carried out and are obtained by using...

A method for computer simulation of time-resolved x-ray diffraction (TRXD) in asymmetric Laue (transmission) geometry with an arbitrary propagating strain perpendicular to the crystal surface is presented. We present two case studies for possible strain generation by short-pulse laser irradiation: (i) a thermoelastic-like analytical model; (ii) a numerical model including the effects of electro...

We consider pseudodifferential Douglis-Nirenberg systems on Rn with components belonging to the standard Hörmander class S∗ 1,δ(R n×Rn), 0 ≤ δ < 1. Parameter-ellipticity with respect to a subsector Λ ⊂ C is introduced and shown to imply the existence of a bounded H∞-calculus in suitable scales of Sobolev, Besov, and Hölder spaces. We also admit non pseudodifferential perturbations. Applications...