Encyclopedia of Continuum Mechanics

Living Edition
| Editors: Holm Altenbach, Andreas Öchsner

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

  • Jan Sladek
  • Vladimir Sladek
  • Michael Wünsche
Living reference work entry
First Online:
DOI: https://doi.org/10.1007/978-3-662-53605-6_237-1
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Synonyms

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

Definitions

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.

Introduction

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Notes

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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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institute of Construction and Architecture, Slovak Academy of SciencesBratislavaSlovakia

Section editors and affiliations

  • Eduard-Marius Craciun
    • 1
  1. 1.Faculty of Mechanical, Industrial and Maritime Engineering"Ovidius" University of ConstantaConstantaRomania