A study is made of the propagation of time-harmonic magneto-thermoviscoelastic plane waves in a homogeneous electrically conducting viscoelastic medium of Kelvin-Voigt type permeated by a primary uniform external magnetic field when the entire medium rotates with a uniform angular velocity. The generalized thermoelasticity theory of type II (Green and Naghdi model) is used to study the propagat...

In this paper, the basic governing equations for isotropic and homogeneous generalized thermoelastic half-space under hydrostatic initial stress are formulated in the context of the Green and Naghdi theory of types II and III. These governing equations are solved analytically to obtain the dimensional velocities in an xy-plane. It is shown that there exist three plane waves, namely a thermal wa...

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 paper, we present a new non-linear dispersive model for open channel and river flows. These equations are the second-order shallow water approximation of section-averaged (three-dimensional) incompressible irrotational Euler system. This asymptotic generalises well-known one-dimensional Serre–Green–Naghdi (SGN) rectangular section on uneven bottom to arbitrary channel/river section.

In this paper, a new mathematical model of a Kelvin-Voigt type thermo-visco-elastic, infinite thermally conducting medium has been considered in the context of a new consideration of heat conduction having a non-local fractional order due to the presence of periodically varying heat sources. Three-phase-lag thermoelastic model, Green Naghdi models II and III (i.e., the models which predicts the...

We study the linear theory of thermo-electro-viscoelasticity Green–Naghdi type for case a one-dimensional body. For corresponding mathematical model, we prove uniqueness theorem solution to mixed boundary-initial-value problem by means Laplace transform after rewriting constitutive equations in an appropriate form. Moreover, derive result continuous dependence upon supply terms.

The Green-Naghdi equations are a shallow water waves model which play important roles in nonlinear wave fields. By using the trial equation method and Complete discrimination system for polynomial we obtained classification of travelling patterns. Among those patterns, new singular patterns double periodic first time. And draw graphs help us to understand dynamics behaviors intuitionally.