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

Abstract EN

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.