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Analysis of Cracks in Piezoelectric Solids with Consideration of Electric Field and Strain Gradients

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Encyclopedia of Continuum Mechanics

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Synonyms

Crack analysis; Electric field and strain gradient; FEM; J-integral; Size effect phenomenon

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Due to the progress in nanotechnology, the size of the electronic components and devices has been significantly reduced in recent years. If the dimension of the structure is of the same order of magnitude as the material length scale, the classical electromechanical coupling theory of piezoelectricity fails to describe the observed size-dependent phenomenon. Discrete atomistic methods such as molecular dynamics simulations can be utilized to analyze nano-sized structures. However, the required computational cost of such methods can be too high to investigate realistic engineering problems. An alternative and less expensive possibility is the formulation of an advanced continuum mechanics model which takes the size effect phenomenon into account, where the strain and electric field gradients are included in the constitutive equations.

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Acknowledgements

The authors acknowledge the support by the Slovak Science and Technology Assistance Agency registered under number APVV-14-0216, VEGA 1/0145/17 and the Slovak Academy of Sciences Project (SASPRO) 0106/01/01.

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Authors and Affiliations

  1. Institute of Construction and Architecture, Slovak Academy of Sciences, Bratislava, Slovakia

    Jan Sladek, Vladimir Sladek & Michael Wünsche

Authors
  1. Jan Sladek
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  2. Vladimir Sladek
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  3. Michael Wünsche
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Corresponding author

Correspondence to Michael Wünsche .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, Queensland, Australia

    Andreas Öchsner

Section Editor information

  1. Faculty of Mechanical, Industrial and Maritime Engineering, "Ovidius" University of Constanta, Constanta, Romania

    Eduard-Marius Craciun

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Sladek, J., Sladek, V., Wünsche, M. (2018). Analysis of Cracks in Piezoelectric Solids with Consideration of Electric Field and Strain Gradients. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_237-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_237-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

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