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- Title
Periodically spaced collinear cracks in a soft ferromagnetic material under a uniform magnetic field.
- Authors
Yu, Chuanbin; Gao, Cun-Fa; Chen, Zengtao
- 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.
- Subjects
MAGNETIC fields; ANALYTIC mappings; ANALYTIC functions; CONFORMAL mapping; BENCHMARK problems (Computer science)
- Publication
Acta Mechanica, 2020, Vol 231, Issue 5, p1919
- ISSN
0001-5970
- Publication type
Article
- DOI
10.1007/s00707-020-02629-3