On the basis of analysis thermoelastic motion, current research develops a novel model modified thermoelasticity. The rotating long hollow cylinders with fixed surfaces are considered in generalized Moore–Gibson–Thompson (MGTTE) framework, including Ohm’s law. made material that rotates at uniform rotational speed and is elastic transverse direction. set equations for MGT heat conduction new bu...

In this paper, a new analysis of thermoelastic, homogeneous, and isotropic nanobeams has been constructed in the context Green-Naghdi type-II heat conduction law. The first end nanobeam is based on graphene strip, which contains an electrical current with small voltage novel application. Under simply supported boundary conditions fixed side ratios, thermally loaded source due to thermal effect ...

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...

A dispersive wave hydro-sediment-morphodynamic model developed by complementing the shallow water (SHSM) equations with term from Green–Naghdi is presented. numerical solution algorithm for based on second-order Strang operator splitting The partitioned into two parts, (1) SHSM and (2) correction part, which are discretized using discontinuous Galerkin finite element methods. This technique pro...

Shell structures have a rich family of boundary layers including internal layers. Each layer has its own characteristic length scale, which depends on the thickness shell. Some these scales are long, something that is not commonly considered in literature. In this work, three types long-range demonstrated over an extensive set simulations. The observed asymptotic behavior consistent with theore...

We describe in this work a discontinuous-Galerkin Finite-Element method to approximate the solutions of a new family of 1d Green-Naghdi models. These new models are shown to be more computationally efficient, while being asymptotically equivalent to the initial formulation with regard to the shallowness parameter. Using the free surface instead of the water height as a conservative variable, th...

We investigate linear stability of solitary waves of a Hamiltonian system. Unlike weakly nonlinear water wave models, the physical system considered here is nonlinearly dispersive, and contains nonlinearity in its highest derivative term. This results in more detailed asymptotic analysis of the eigenvalue problem in presence of a large parameter. Combining the technique of singular perturbation...

We consider the stabilization of the transmission problem of Naghdi’s model by boundary feedbacks where the model has a middle surface of any shape. The exponential decay rate for the problem is established under some checkable geometric conditions on the middle surface.  2005 Elsevier Inc. All rights reserved.