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15.02.2020 | Original Paper | Ausgabe 5/2020

Acta Mechanica 5/2020

Periodically spaced collinear cracks in a soft ferromagnetic material under a uniform magnetic field

Zeitschrift:
Acta Mechanica > Ausgabe 5/2020
Autoren:
Chuanbin Yu, Cun-Fa Gao, Zengtao Chen
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Abstract

This paper aims at a fundamental perspective of multiple cracks’ interaction on the fracture behavior of magnetoelastic materials. A theoretical study is performed on a soft ferromagnetic solid weakened by an array of periodic cracks under an in-plane magnetic loading. By using the conformal mapping technique and the analytic function boundary value theory, a rigorous analytical solution of the magnetic and stress fields is obtained, and the closed-form expressions for the field intensity factors are presented. Numerical examples of magnetically impermeable and permeable cracks are studied to reveal the relationship of the mode-I stress intensity factor with the period ratio of the cracks, the surrounding medium, and the applied magnetic loading. The analytical solution in this study can serve as a theoretical benchmark for the fracture problem of a magnetoelastic solid containing multiple defects.

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