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Strip yield zone of a penny-shaped crack in a magnetoelectroelastic material under axisymmetric loadings

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Abstract

The strip yield zone ahead of a penny-shaped crack in a magnetoelectroelastic material, subjected to electric, magnetic and axisymmetric mechanical loadings, is evaluated analytically. Hankel transform is employed to reduce the mixed boundary value problem of the penny-shaped crack to dual integral equations, which are solved exactly under the assumption of electrically and magnetically permeable crack face conditions and the plastic strip yield zone crack model. An analytic solution to the mixed boundary problem has been obtained to predict the relationship between the length of the strip yield zone and the applied loadings. The distribution of mechanical, electric and magnetic fields in and outside of the strip yield zone in the cracked magnetoelectroelastic material has been derived analytically, and the crack opening displacement has been investigated. The effects of the mechanical, electric and magnetic loadings on the size of the yield zone are discussed in detail.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Alberta, Edmonton, AB, T6G 2G8, Canada

    Keqiang Hu & Zengtao Chen

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  1. Keqiang Hu
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  2. Zengtao Chen
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Correspondence to Keqiang Hu.

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Hu, K., Chen, Z. Strip yield zone of a penny-shaped crack in a magnetoelectroelastic material under axisymmetric loadings. Acta Mech 227, 2343–2360 (2016). https://doi.org/10.1007/s00707-016-1641-2

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  • DOI: https://doi.org/10.1007/s00707-016-1641-2

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