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BIEM via graded piezoelectric half-plane Green’s function for wave scattering by curvilinear cracks

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A Correction to this article was published on 28 July 2023

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Abstract

This work presents numerical solution for wave motion in a functionally graded piezoelectric half-plane that includes contributions of incident time-harmonic SH waves, waves reflected by the traction-free surface and scattered by multiple curvilinear cracks. A special type of material gradient is studied, where material properties vary exponentially with respect to the depth coordinate. A non-hypersingular traction Boundary Integral Equation Method based on analytically derived Green’s function of a graded half-plane is developed and verified. A series of numerical results show the influence of the material gradient characteristics, the properties of the applied dynamic load, the cracks geometry, the cracks interaction phenomenon and the coupled character of the electromechanical continuum on the wave motions and on the local mechanical and electrical stress concentration fields developing in the graded half-plane.

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Acknowledgements

This work is partially supported by the Bulgarian National Science Fund, contract No \(\mathrm K\Pi \)-06-H57/3/15.11.2021 and also by the Grant No BG05M2OP001\(-\)1.001-0003, financed by the Science and Education for Smart Growth Operational Program (2014–2020) in Bulgaria and co-financed by the European Union through the European Structural and Investment Funds.

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  1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bld. 8, 1113, Sofia, Bulgaria

    Tsviatko Rangelov

  2. Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bld. 4, 1113, Sofia, Bulgaria

    Petia Dineva

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  1. Tsviatko Rangelov
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Correspondence to Tsviatko Rangelov.

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Rangelov, T., Dineva, P. BIEM via graded piezoelectric half-plane Green’s function for wave scattering by curvilinear cracks. Arch Appl Mech 93, 3683–3696 (2023). https://doi.org/10.1007/s00419-023-02463-8

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  • DOI: https://doi.org/10.1007/s00419-023-02463-8

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