Effect of inclined load and magnetic field in a micropolar thermoelastic medium possessing cubic symmetry in the context of G-N theory

Abstract

Purpose

The purpose of this paper is to study a model of the equations of a two-dimensional problem in a half space, whose surface in a free micropolar thermoelastic medium possesses cubic symmetry as a result of inclined load. The problem is formulated in the context of Green-Naghdi theory of type II (G-N II) (without energy dissipation) and of type III (G-N III) (with energy dissipation) under the effect of magnetic field.

Design/methodology/approach

The normal mode analysis is used to obtain the exact expressions of the physical quantities.

Findings

The numerical results are given and presented graphically when the inclined load and magnetic field are applied. Comparisons are made with the results predicted by G-N theory of both types II and III in the presence and absence of the magnetic field and for different values of the angle of inclination.

Originality/value

In the present work, the authors study the influence of inclined load and magnetic field in a micropolar thermoelastic medium in the context of the G-N theory of both types II and III. Numerical results for the field quantities are obtained and represented graphically.

Citation

Othman, M.I.A., Abo-Dahab, S.M. and Alosaimi, H.A. (2018), "Effect of inclined load and magnetic field in a micropolar thermoelastic medium possessing cubic symmetry in the context of G-N theory", Multidiscipline Modeling in Materials and Structures, Vol. 14 No. 2, pp. 306-321. https://doi.org/10.1108/MMMS-08-2017-0086