Effect of mechanical force along the interface of semi-infinite semiconducting medium and thermoelastic micropolar cubic crystal

Praveen Ailawalia,Sunil Kumar Sachdeva,Devinder Singh Pathania,Yong Hong Wu

doi:10.1080/23311835.2017.1347991

Abstract

AbstractThe present investigation deals with the two-dimensional deformation in a thermoelastic micropolar solid with cubic symmetry at the interface of the semi-infinite semiconducting medium under photothermal theory. A mechanical force is applied along the interface. The analytic expressions for the components of normal displacement, temperature distribution, normal force stress, and tangential couple stress for a thermoelastic micropolar solid with cubic symmetry have been obtained using normal mode analysis technique. The effect of anisotropy, microrotation, and thermoelasticity on the derived components have been depicted graphically.

Highlights

A micropolar continuum is a collection of inter-connected particles in the form of small rigid bodies in which materials’ deformation is determined by both translational and rotational motion
Discussions, and conclusions For numerical computations, we consider the values of physical constants as, (1) For micropolar solid with cubic symmetry as (Kumar & Partap, 2010): A1 = 19.6 × 1010 N/m2, A2 = 11.7 × 1010 N/m2, A3 = 5.6 × 1010 N/m2, A4 = 4.3 × 1010 N/m2, B3 = 0.98 × 10−9N
The variations of numerical values for normal displacement, temperature distribution, normal force stress, and tangential couple stress are shown in Figures (2)–(5) for G-L theory by taking n0 = 0, the mechanical force with magnitude, P1 = 1.0, ω = ω0 + ιξ, ω0 = - 0.3, ξ = 0.1, and a = 0.9 for, Figure 2

Summary

Introduction

A micropolar continuum is a collection of inter-connected particles in the form of small rigid bodies in which materials’ deformation is determined by both translational and rotational motion. Othman, Abo-Dahab, and Alosaimi (2016) investigated the two-dimensional problem of micropolar thermoelastic rotating medium possessing cubic symmetry under the effect of inclined load in the context of Green Naghdi theory of type-III. The effect of initial hydrostatic stress on the reflection of generalized thermoelastic waves from a solid half-space was studied by Singh, Kumar, and Singh (2006). The field equations and constitutive relations in the absence of body forces, body couples, and heat sources for medium I and medium II are given by, For medium I i.e. micropolar thermoelastic medium with cubic symmetry is given by Lord and Shulman (1967), Green and Lindsay (1972), and Minagawa et al (1981) as, P1 semi-infinite semiconducting medium (medium-II). Using above non-dimensional variables and dropping superscripts the Equations (1–7) becomes, h1

Solution of the problem

Boundary conditions

Conclusion