Solutions for curvilinear cracks in bonded dissimilar materials subject to uniform magnetic induction

Lin, Hung-Yeh; Lin, Cheng‐Jian; Chen, Shin-Cheng

doi:10.3233/jae-2004-298

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2006

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“…Furthermore, the magnetoelastic problem of an infinitely extended matrix containing a partially bonded circular inclusion was studied by Lin et al (2004). However, the methodology used in the above-mentioned single inclusion problem cannot be directly applied to the present multiple inclusion problem with more than two separate interfaces.…”

Section: Introductionmentioning

confidence: 99%

On multiple circular inclusions in plane magnetoelasticity

Chen

Lin

2006

International Journal of Solids and Structures

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A general series solution to the magnetoelastic problem of interacting circular inclusions in plane magnetoelasticity is provided in this paper. By the use of complex variable theory and Laurent series expansion method, the general expression of the magnetic and the magnetoelastic complex potentials for the circular inclusion problem is derived. Expanding the definition of the AiryÕs stress function of pure elastic field into the magnetoelastic field and applying the superposition method, the general expression then can be reduced to a set of linear algebraic equations and solved in a series form. An approximate closed form solution for the case of two arbitrarily located inclusions is also provided. For illustrating the effect of the pertinent parameters, the numerical results of the interfacial magnetoelastic stresses are displayed in graphic form.

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Section: Introductionmentioning

confidence: 99%