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An I-integral method for the crack-tip intensity factor in ferromagnetic materials with domain switching

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Abstract

An I-integral method is developed to calculate the crack-tip stress intensity factors (SIFs) in the ferromagnetic thin plate subjected to the external loads. The value of I-integral is not affected by the integral area size, the magnetization distributions or domain walls, which shows the applicability to the large-scale domain switching. Based on the stress and magnetic field obtained from phase-field simulations, the I-integral method is successfully employed to obtain the crack-tip intensity factors and decouples different modes of the crack-tip intensity factors in ferromagnetic thin plates with an impermeable edge crack under different mechanical and/or magnetic loadings. The influence of domain switching on the SIFs is investigated for different loadings. It is found that domain switching under a constant stress loading increases the crack-tip intensity factors, whereas domain switching decreases the crack-tip intensity factors under a constant strain loading. The results indicate that the domain switching-induced shielding or anti-shielding of a crack in ferromagnetic materials with an impermeable edge crack is dependent on the loading condition.

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Authors and Affiliations

  1. Department of Engineering Mechanics, School of Aeronautics and Astronautics, Zhejiang University, 38 Zheda Road, Hangzhou, 310007, China

    Yinuo Shi & Jie Wang

  2. Department of Astronautic Science and Mechanics, School of Aeronautics and Astronautics, Harbin Institute of Technology, Harbin, 150001, China

    Hongjun Yu

  3. Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, 38 Zheda Road, Hangzhou, 310007, China

    Jie Wang

Authors
  1. Yinuo Shi
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  2. Hongjun Yu
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  3. Jie Wang
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Correspondence to Jie Wang.

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Shi, Y., Yu, H. & Wang, J. An I-integral method for the crack-tip intensity factor in ferromagnetic materials with domain switching. Acta Mech 230, 1427–1439 (2019). https://doi.org/10.1007/s00707-017-2016-z

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  • DOI: https://doi.org/10.1007/s00707-017-2016-z

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