We consider the system of dual-phase-lag thermoelasticity proposed by Chandrasekharaiah and Tzou. First, we prove that the solutions of the problem are generated by a semigroup of quasi-contractions. Thus, the problem of third-order in time is well-posed. Then the expontial stability is investigated. Finally the spatial behavior of solutions is analyzed in a semi-infinite cylinder and a resuult...

Abstract The problem of thermoelastic deformation a thin-layer coated strip is considered. To consider scale effects, one-parameter gradient thermoelasticity model used. solution to the based on application Fourier transform in longitudinal coordinate. inversion transformants carried out basis Filon’s quadrature formula. stress-strain state was calculated both setting and classical setting. ana...

In this paper, we will give a global existence theorem in one-dimensional thermoelasticity with second sound in R. For this purpose, we first give the decay rates of the linearized equations with the help of Fourier sine and cosine transformation and the local existence theorem using theorems for quasi-linear symmetric hyperbolic systems. Then we establish some estimates in L, L and L∞ norms to...

First we prove an exponential decay result for solutions of the equations of linear, homogeneous, isotropic thermoelasticity in bounded regions in two or three space dimensions if the rotation of the displacement vanishes. As a consequence, we describe the decay in radially symmetrical situations, and in a cylinder in R3. Then we establish the global existence of solutions to the corresponding ...

A dynamical two dimensional problem of generalized thermoelasticity has been considered to examine the stresses in an isotropic elastic slab. Laplace transform for time variable and exponential Fourier transform for space variable has been applied in the basic equations to form a vector-matrix differential equation which is then solved by eigenvalue approach. Finally numerical computations of t...

background citation analysis as one of the most widely used methods of bibliometrics can be used for computing the various impact measures for scholars based on data from citation databases. journal citation reports (jcr) from thomson reuters provides annual report in the form of impact factor (if) for each journal. objectives we aimed to evaluate the citation parameters of hepatitis monthly by...