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Homogenization of Piezoelectric Composites with Internal Structure and Inhomogeneous Polarization in ACELAN-COMPOS Finite Element Package

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Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 109))

Abstract

The paper presents the current version of the finite element package ACELAN-COMPOS with the focus on its capabilities for solving the homogenization problems for piezoelectric composites with inhomogeneous polarization of piezoceramic phase. We describe the basic version of the effective moduli method, as well as the simplified theoretical approaches for taking into account the inhomogeneous polarization in the finite element solution of the homogenization problems. We provide the brief description of the main features of the ACELAN-COMPOS package, which we use for solving the described problems. The results of the numerical solution of the homogenization problems for porous piezoceramic composites demonstrate the importance of taking into account the inhomogeneous polarization field for the effective moduli determination.

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Acknowledgements

The authors are grateful for the support of the Ministry of Science and Higher Education of the Russian Federation, project No. 9.1001.2017/4.6.

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Authors and Affiliations

  1. Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, Milchakova Street 8a, Rostov-on-Don, 344090, Russia

    T. E. Gerasimenko, N. V. Kurbatova, D. K. Nadolin, A. V. Nasedkin, A. A. Nasedkina, P. A. Oganesyan & A. S. Skaliukh

  2. Department of Theoretical and Applied Mechanics, Don State Technical University, Gagarin sq., 1, Rostov-on-Don, 344000, Russia

    A. N. Soloviev

Authors
  1. T. E. Gerasimenko
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  2. N. V. Kurbatova
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  3. D. K. Nadolin
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  4. A. V. Nasedkin
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  5. A. A. Nasedkina
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  6. P. A. Oganesyan
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  7. A. S. Skaliukh
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  8. A. N. Soloviev
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Corresponding author

Correspondence to A. V. Nasedkin .

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Editors and Affiliations

  1. Institute for Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-on-Don, Russia

    Mezhlum A. Sumbatyan

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Gerasimenko, T.E. et al. (2019). Homogenization of Piezoelectric Composites with Internal Structure and Inhomogeneous Polarization in ACELAN-COMPOS Finite Element Package. In: Sumbatyan, M. (eds) Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials. Advanced Structured Materials, vol 109. Springer, Cham. https://doi.org/10.1007/978-3-030-17470-5_8

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