Table of Contents
International Journal of Engineering Mathematics
Volume 2014, Article ID 892576, 11 pages
http://dx.doi.org/10.1155/2014/892576
Research Article

A Modified Strip-Yield-Saturation-Induction Model Solution for Cracked Piezoelectromagnetic Plate

Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India

Received 9 May 2014; Accepted 2 July 2014; Published 14 August 2014

Academic Editor: Song Cen

Copyright © 2014 R. R. Bhargava and Pooja Raj Verma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A strip-yield-saturation-induction model is proposed for an impermeable crack embedded in piezoelectromagnetic plate. The developed slide-yield, saturation, and induction zones are arrested by distributing, respectively, mechanical, electrical, and magnetic loads over their rims. Two cases are considered: when saturation zone exceeds induction zone and vice-versa. It is assumed that developed slide-yield zone is the smallest because of the brittle nature of piezoelectromagnetic material. Fourier integral transform technique is employed to obtain the solution. Closed form analytic expressions are derived for developed zones lengths, crack sliding displacement, crack opening potential drop, crack opening induction drop, and energy release rate. Case study presented for BaTiO3–CoFe2O4 shows that crack arrest is possible under small-scale mechanical, electrical, and magnetic yielding.