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Exact solution for an anti-plane interface crack in piezoelectro-magneto-elastic bimaterials

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Abstract

This paper investigated the fracture behavior of a piezoelectro-magneto-elastic medium subjected to electro-magneto-mechanical loads. The bimaterial medium contains a crack which lies at interface and is parallel to their poling direction. One harmonic function, which satisfying all boundary condition of the problem, is introduced. By means of this function, its derivatives physical fields, which appear in both materials of composite, are obtained in exact analytical form. The corresponding semi-permeable crack-face magneto-electric boundary conditions are utilized. Field intensity factors of stress, electric displacement, magnetic induction, cracks displacement, electric and magnetic potentials and the energy release rate are determined. The electric displacement and magnetic induction of crack interior are discussed. Obtained results indicate that the stress field and electric and magnetic fields near the crack tips exhibit square-root singularity.

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Authors and Affiliations

  1. Chair of Mechanics of Materials, Lodz University of Technology, Al. Politechniki 6, 93-590, Lodz, Poland

    Bogdan Rogowski

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  1. Bogdan Rogowski
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Correspondence to Bogdan Rogowski.

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Rogowski, B. Exact solution for an anti-plane interface crack in piezoelectro-magneto-elastic bimaterials. Arch Appl Mech 87, 593–606 (2017). https://doi.org/10.1007/s00419-016-1158-0

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  • DOI: https://doi.org/10.1007/s00419-016-1158-0

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