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...

A theoretical novel model is investigated that describes the dynamic effects of microelongation processes an exciting semiconductor medium. The influence magnetic field for optically excited medium taken into consideration according to photothermal transport characteristics. governing equations were derived during electronic (ED) and thermoelastic (TED) deformation when parameters account. inte...

Abstract Thermally coupled constitutive relations are generally used to determine material constants and elastic moduli (Young's modulus shear modulus) of solid media. Conventional studies on this issue mainly based the linear temperature dependence moduli, whereas analytical difficulties often encountered in theoretical nonlinear dependence, particularly at high temperatures. This study invest...

[1] Diffuse flow velocimetry (DFV) is introduced as a new, noninvasive, optical technique for measuring the velocity of diffuse hydrothermal flow. The technique uses images of a motionless, random medium (e.g., rocks) obtained through the lens of a moving refraction index anomaly (e.g., a hot upwelling). The method works in two stages. First, the changes in apparent background deformation are c...

In this paper we study influenza viral membrane deformation related to the refolding of Hemagglutinin (HA) protein. The focus of the paper is to understand membrane deformation and budding due to experimentally observed linear HA-protein clusters, which have not been mathematically studied before. The viral membrane is modeled as a two dimensional incompressible lipid bilayer with bending rigid...

We study the effect of adsorbed surfactant on drop deformation in linear flows by means of analytical solutions for small perturbations of the drop shape and surfactant distribution, and by numerical simulations for large distortions. We consider a drop with the same viscosity as the suspending fluid. Under these conditions, the problem simplifies because the disturbance flow field results sole...

Prediction results and numerical analysis of effect on effective transversal-isotropic electroelastic properties porous piezoceramics PZT-4 with unidirectional cylindrical (tunnel) pores values its initial axisymmetric stress state are presented. Effective constants have been identified: Young's shear modules, Poisson's ratio in the transversal plane isotropy "longitudinally/transverse" piezomo...

In this paper, the transient response of a viscoelastic annular plate which has time-dependent properties is determined mathematically under dynamic transverse load. The axisymmetric conditions are considered in the problem. The viscoelastic properties obey the standard linear solid model in shear and the bulk behavior in elastic. The equations of motion are extracted using Hamilton’s principle...