Abstract
Time-harmonic SH-wave scattering by a nanocrack in a continuously inhomogeneous magnetoelectroelastic (MEE) plane with exponentially dependent material parameters and under conditions of anti-plane strain is studied. A non-hypersingular, traction-based boundary integral equation method (BIEM) for solution of the problem under consideration is presented. The BIEM formulation combines classical elastodynamic theory for the graded bulk MEE solid with non-classical boundary conditions and the localized constitutive law for the MEE matrix–nanocrack interface within the framework of the Gurtin–Murdoch theory. The presented parametric study reveals the degree of dependence of the dynamic fracture characteristics on the size of the nanocrack, surface and bulk material properties, coupled nature of the magnetoeletroelasticity, properties of the incident wave as frequency, wave length and wave propagation direction, dynamic interaction between the nanocrack, incident wave and coupled magneto-electro-elastic graded continuum.
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Acknowledgements
The first and third authors are partially supported by the National Scientific Program “Information and Communication Technologies for a Single Digital Market in Science, Education and Security (ICTinSES)”, contract No. DO1-205/23.11.2018, financed by the Ministry of Education and Science in Bulgaria, 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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Dineva, P., Stoynov, Y. & Rangelov, T. Dynamic fracture behavior of nanocracked graded magnetoelectroelastic solid. Arch Appl Mech 91, 1495–1508 (2021). https://doi.org/10.1007/s00419-020-01835-8
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DOI: https://doi.org/10.1007/s00419-020-01835-8
Keywords
- Anti-plane elastodynamics
- Functional graded material
- Magnetoelectroelasticity
- Nanocrack
- Gurtin–Murdoch model
- Boundary integral equation method