Periodically spaced collinear cracks in a soft ferromagnetic material under a uniform magnetic field
| Autor: | Zengtao Chen, Cun-Fa Gao, Chuanbin Yu |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Materials science
Mechanical Engineering Computational Mechanics Conformal map 02 engineering and technology Mechanics 01 natural sciences Physics::Geophysics 010305 fluids & plasmas Magnetic field Stress (mechanics) Condensed Matter::Materials Science 020303 mechanical engineering & transports 0203 mechanical engineering Ferromagnetism 0103 physical sciences Solid mechanics Fracture (geology) Stress intensity factor Analytic function |
| Zdroj: | Acta Mechanica. 231:1919-1931 |
| ISSN: | 1619-6937 0001-5970 |
| DOI: | 10.1007/s00707-020-02629-3 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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