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Magneto-electro-elastic analysis of a strip containing multiple embedded and edge cracks under transient loading

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Abstract

This paper deals with the dynamic behavior of a magneto-electro-elastic strip weakened by multiple horizontal, vertical, and edge cracks within the framework of linear magneto-electro-elasticity. The analysis is based on stress and the magneto-electrical fields caused by horizontal and vertical Volterra-type screw dislocation in a medium. The problem was formulated through Fourier and Laplace transforms into singular integral equations in which the unknown variables are the jumps of displacement and magneto-electrical potential across the crack surface. The dislocation densities and the numerical Laplace inversion are then employed in order to derive the dynamic field intensity factors at the crack tips for both permeable and impermeable cracks. The effects of length and position of the cracks on the dynamic field intensity factors and interaction between the two cracks are investigated. Furthermore, the results show that, for a fixed value of mechanical load, the dynamic field intensity factor at the crack tips depends on the magnitude and direction of the applied magneto-electrical load.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Mechatronics Faculty, Karaj Branch, Islamic Azad University, Karaj, Alborz, Iran

    R. Bagheri

  2. Department of Mechanical Engineering, Hashtgerd Branch, Islamic Azad University, Karaj, Alborz, Iran

    M. M. Monfared

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  1. R. Bagheri
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  2. M. M. Monfared
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Correspondence to R. Bagheri.

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Bagheri, R., Monfared, M.M. Magneto-electro-elastic analysis of a strip containing multiple embedded and edge cracks under transient loading. Acta Mech 229, 4895–4913 (2018). https://doi.org/10.1007/s00707-018-2289-x

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  • DOI: https://doi.org/10.1007/s00707-018-2289-x

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