Effect of Rotation and Initial Magnetic Field in Fibre-Reinforced Anisotropic Elastic Media

F S Bayones

doi:10.4236/am.2015.65081

Abstract

In this work, we study an analytical procedure for evaluation of the displacement and stresses in fibre-reinforced anisotropic elastic media under effects of rotation and initial magnetic field, and due to the application of the rotation and initial magnetic field. Effects of rotation and initial magnetic field are analyzed theoretically and computed numerically. Numerical results have been given and illustrated graphically. Comparison was made with the results obtained in the presence of rotation and initial magnetic field in fibre-reinforced anisotropic and isotropic elastic media. The results indicate the effect of rotation and initial magnetic field.

Highlights

The linear theory of elasticity of paramount importance in the stress analysis of steel is the commonest engineering structural material
We studied an analytical procedure for evaluation of the displacement, and stresses in fibrereinforced anisotropic elastic media under effect of rotation and initial magnetic field
Λ = 7.59 ×109 N m2, μT = 1.89 ×109 N m2, μL = 2.45×109 N m2, α = −1.28×109 N m2, β = 0.32 ×109 N m2, ρ = 7800 Kg m2, λ1 = 5.65×1010 N m2, μT1 = 2.46 ×1010 N m2, μL1 = 5.66 ×1010 N m2, α1 = −1.28×1010 N m2, β1 = 220.90 ×1010 N m2, ρ = 7800 Kg m2, The numerical technique outlined above was used to obtain of the displacement, stresses in fibre-reinforced anisotropic and isotropic elastic media under effect of rotation and initial magnetic field

Summary

Introduction

The linear theory of elasticity of paramount importance in the stress analysis of steel is the commonest engineering structural material. (2015) Effect of Rotation and Initial Magnetic Field in Fibre-Reinforced Anisotropic Elastic Media. Effects of rotation and initial stress on generalized-thermoelastic problem in an infinite circular cylinder are due to Abd-Alla et al [7]. Bayones [8] studied effects of rotation and hydrostatic initial stress on propagation of Raylegh in waves in an elastic solide half-space under the GN theory. The effect of rotation on plane waves at the free surface of a fiber-reinforced thermoelastic half-space using the finite element method was studied by Othman and Abbas [26]. We studied an analytical procedure for evaluation of the displacement, and stresses in fibrereinforced anisotropic elastic media under effect of rotation and initial magnetic field.

Boundary Conditions

Solution of the Problem

Numerical Results and Discussions

Conclusions