Effect of Hall Current in Thermoelastic Materials with Double Porosity Structure

Abstract

The present investigation is concerned with one dimensional problem in a homogeneous, isotropic thermoelastic medium with double porosity structure in the presence of Hall currents subjected to thermomechanical sources. A state space approach has been applied to investigate the problem. As an application of the approach, normal force and thermal source have been taken to illustrate the utility of the approach. The expressions for the components of normal stress, equilibrated stress and the temperature change are obtained in the frequency domain and computed numerically. A numerical simulation is prepared for these quantities. The effect of the Hartmann number is depicted graphically on the resulting quantities for a specific model. Some particular cases of interest are also deduced from the present investigation.

Application of the fractional-order theory of micro-polar thermoelasticity in the solid cylinder

“…Ailawalia and other [12] have investigated the internal heat source in thermo elastic micro elongated solid under G-N theory. Kumar and other [13] have discussed the fundamental solution in micro polar thermo elastic materials with double porosity. Abouelregal et al [14] considered a high-order thermoelastic two-phase deceleration model and applied thermomagnetic interaction in viscoelastic micropolar media.…”

Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type

“…We can say that the quantity of contributions in this theory is huge. In fact, in recent days there has been a big interest to understand the case where we can consider a double porous structure (see [4][5][6][7] among others). In view of the kind of materials described by this theory, its physical applications could include rocks, soils, ceramics and woods, as well as biological materials as dentures or bones.…”

Lord–Shulman Thermoelasticity with Microtemperatures

“…There are interesting physical applications of the thermoelasticity with voids, so we can recall the study of solids with small distributed porous, in particular we mention, for instance, rocks, soils, woods, ceramics or even biological materials as bones. In fact, in recent years multiporosity structure has been considered [19,22,23,[44][45][46].…”