Moving interfacial crack between two dissimilar soft ferromagnetic materials in uniform magnetic field
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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.
KeywordsSoft ferromagnetic material Moving interfacial crack Dynamic magnetoelastic stress intensity factor
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- Asanyan, D. D., Aslanyan, A. A. and Bagdasaryan, G. E., 1988, “Concentrantions of Elastic Stresses and Induced Magnetic Field Caused by an External Magnetic Field Next to a Crack,”Soviet Journal of Contemporary Engineering and Mechanics, (I.A.N.A. SSR Mekhanika), Vol. 41, pp. 10–19.MathSciNetGoogle Scholar
- Erdogan, F., 1984, “Mixed Boundary Value Problems in Mechanics,” In: Nemat, Nasser S. (Ed.),Mechanics Today, Vol. 4, Pergamon Press. Oxford.Google Scholar
- Muskhelishvili, N. I., 1953,Singular Integeal Equations, Noordhoff, Groningen, The Netherlands.Google Scholar