In this work, the usual Euler–Bernoulli nanobeam has been modeled in context of Lord-Shulman thermoelastic theorem which contains non-Fourier heat conduction law. The subjected to a constant magnetic field and ramp-type thermal loading. Laplace transform definition applied governing equations solutions have obtained by using direct approach. inversions calculated numerically Tzou approximation ...

This paper estimated the problem of one-dimensional generalized thermoelastic half-space in medium considering two models: Lord and Shulman (LS) model Dual-Phase-Lag (DPL) model. We assumed that surface was free from traction force under an exponentially varying external heat source at boundary with time. The technique homotopy perturbation has been applied to find approximate solution for inte...

The objective is to study the deformation in a homogeneous isotropic modified couple stress thermoelastic rotating medium in the presence of Hall current and magnetic field due to a ramp-type thermal source. The generalized theories of thermoelasticity developed by Lord Shulman (L-S, 1967) and Green Lindsay (G-L, 1972) are used to investigate the problem. Laplace and Fourier transform technique...

In present study is concerned with the propagation of axisymmetric vibrations in a homogenous isotropic micropolar thermoelastic cubic crystal plate bordered with layers or half spaces of inviscid liquid subjected to stress free boundary conditions in context of Lord and Shulman (L-S) and Green and Lindsay (G-L) theories of thermoelasticity. The secular equations for symmetric and skew-symmetri...

An analysis of the propogation of thermoelastic waves in a homogeneous, anisotropic, thermally conducting plate has been presented in the context of the generalized Lord-Shulman theory of thermoelasticity. Three different methods are used in this analysis: two of them are exact and the third is a semianalytic finite element method (SAFE). In our exact analysis, two different approaches are used...

Flexural wave motion in an infinite transversely isotropic, thermoelastic plate in the context of conventional coupled thermoelasticity (CT), Lord-Shulman (LS) and Green-Lindsay (GL) theories of generalized thermoelasticity has been studied by asymptotic method. The asymptotic operator plate model for flexural motion in a transversely isotropic thermoelastic plate leads to fifth degree polynomi...

The model of the equations of generalized magneto-thermoelasticity in an isotropic elastic medium with two–temperature under the effect initial stress is established. The entire elastic medium is rotated with a uniform angular velocity. The formulation is applied under three theories of generalized thermoelasticity: Lord–Shulman, Green–Lindsay, as well as the coupled theory. The Harmonic functi...

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...