In this work, we numerically consider a thermoelastic problem where the thermal law is modeled using so-called Moore–Gibson–Thompson equation. This thermomechanical written as coupled system composed of hyperbolic partial differential equation for transformation displacement field and parabolic temperature. Its variational formulation in terms derivatives above transformed functions, leading to...

Thermal stresses and displacement functions are obtained for a rectangular plate occupying the space R: -a < x a, 0 y b, -h z h, with known boundary initial conditions. In this inverse problem unknown surface temperature is determined on along y-axis when at some internal point known. The governing heat conduction equation has been solved by applying Marchi – Fasulo transform Laplace techniq...

In this paper, a novel domain-independent nonlinear thermoelastic model suitable for aerothermoelastic investigations is generated with which a continuous power transformation frame between the elastic and thermal domains is formed. To achieve this, first, a distinctive power distribution of each domain is defined by means of the Bond graph notation, and the corresponding governing equation for...

A new result enables direct calculation of thermoelastic damping in vibrating elastic solids. The mechanism for energy loss is thermal diffusion caused by inhomogeneous deformation, flexure in thin plates. The general result is combined with the Kirchhoff assumption to obtain a new equation for the flexural vibration of thin plates incorporating thermoelastic loss as a damping term. The thermal...

In this study, the analysis of transient thermoelastic response of a functionally graded (FG) non-axisymmetric viscoelastic cylinder is presented. The material properties are assumed to be time- dependent and radially and circumferentially non-homogeneous. The finite element (FE) formulations of the thermoelastic problem are obtained using the virtual work method and all the coupling terms are ...

The present paper is aimed to study an exact analysis of the free vibrations of a simply supported, homogeneous, transversely isotropic, cylindrical panel based on three-dimensional generalized theories of thermoelastic diffusion. After applying the displacement potential functions in the basic governing equations of generalized thermoelastic diffusion, it is noticed that a purely transverse mo...