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Moving interfacial crack between two dissimilar soft ferromagnetic materials in uniform magnetic field

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Abstract

This paper presents the dynamic magnetoelastic stress intensity factors of a Yoffe-type moving crack at the interface between two dissimilar soft ferromagnetic elastic half-planes. The solids are subjected to a uniform in-plane magnetic field and the crack is opened by internal normal and shear tractions. The problem is considered within the framework of linear magnetoelasticity. By application of the Fourier integral transform, the mixed boundary problem is reduced to a pair of integral equations of the second kind with Cauchy-type singularities. The singular integral equations are solved by means of a Jacobi polynomial expansion method. For a particular case, closed-form solutions are obtained. It is shown that the magnetoelastic stress intensity factors depend on the moving velocity of the crack, the magnetic field and the magnetoelastic properties of the materials.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shanghai Jiaotong University, 200240, Shanghai, China

    She-Xu Zhao

  2. School of Mechanical Engineering, Yonsei University, 120-749, Seoul, South Korea

    Kang Yong Lee

Authors
  1. She-Xu Zhao
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  2. Kang Yong Lee
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Correspondence to Kang Yong Lee.

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Zhao, SX., Lee, K.Y. Moving interfacial crack between two dissimilar soft ferromagnetic materials in uniform magnetic field. J Mech Sci Technol 21, 745–754 (2007). https://doi.org/10.1007/BF02916352

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  • DOI: https://doi.org/10.1007/BF02916352

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