In the context of linear theories generalized elasticity including those for homogeneous micropolar media, quasicrystals, piezoelectric and piezomagnetic we explore concept null Lagrangians. For obtaining family Lagrangians employ sufficient conditions H. Rund. some cases a non-zero Lagrangian is found stored energy admits split into remainder. However, vanishes whenever relevant tensor obeys c...

The present paper deals with the study of flow, heat and mass transfer characteristics of the free convection on a vertical plate in porous media with variable wall temperature and concentration in a doubly stratified and viscous dissipating micropolar fluid in presence of chemical reaction, heat generation and Ohmic heating. A uniform magnetic field is applied normal to the plate. The governin...

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where u(x, t) = (u,u,u) represents the velocity, ω(x, t) = (ω,ω,ω) stands for the angular velocity field of rotation of particles, p is the pressure, f and f̃ represent the external force and moment, respectively. The positive parameters ν , νr , c, ca, cd are the viscous coefficients. In fact, ν is the usual Newtonian kinetic viscosity, and νr is the dynamics microrotation viscosity, and...

In this paper, a problem on Rayleigh surface wave in an isotropic micropolar elastic solid half-space with impedance boundary conditions is investigated. It is assumed that the normal force traction, shear force traction and shear couple traction vary linearly with the normal displacement component, tangential displacement component and microrotation component multiplied by the frequency, where...

We study the two-dimensional magneto-micropolar fluid system. Making use of the structure of the system, we show that with zero angular viscosity the solution triple remains smooth for all time.

In this paper nonclassical dynamical model for thermoelastic bodies with three phase-lags is studied. Applying variational formulation of the general three-dimensional initial-boundary value problem existence and uniqueness of solution in suitable spaces is proved. Spectral algorithm of approximation of the three-dimensional initial-boundary value problem for thermoelastic shell by a sequence o...

The present investigation deals with study of thermoelastic damping and frequency shift of Kirchhoff plate resonators by using generalized thermoelasticity theory of dual-phase-lag model. The basic equations of motion and heat conduction equation are written with the help of Kirchhoff-Love plate theory and dual phase lag model. The analytical expressions for thermoelastic damping and frequency ...