The Fracture Analysis around Anti-plane Crack in An Infinite Piezoelectric Plate

DOI

10.2991/iceesd-18.2018.250How to use a DOI?

Keywords

Infinite piezoelectric plate, Center crack, Complex function method, Mechanical strain energy release rate

Abstract

The fracture problem around the center crack in an infinite transversely isotropic piezoelectric plate under the anti-plane shear stress and the in-plane electric load at infinity is studied. Using the complex function method and undetermined coefficients method, the analytical solutions of the stress, displacement, electric displacement, electric potential, stress intensity factor, electric displacement intensity factor and the mechanical strain energy release rate around the crack tip are obtained with the assumption that the surface of the crack was electrically impermeable. The influence of the crack length, the mechanical load and the electric load on the mechanical strain energy release rate is analyzed with numerical analysis. The results show that the crack length and the mechanical load are always promoting the crack extension, the positive electric field promotes crack extension, and the negative electric field restrains it.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Wenbin ZHAO
AU  - Xuexia ZHANG
AU  - Hailing XIE
AU  - Zhiyao ZHAO
PY  - 2018/05
DA  - 2018/05
TI  - The Fracture Analysis around Anti-plane Crack in An Infinite Piezoelectric Plate
BT  - Proceedings of the 2018 7th International Conference on Energy, Environment and Sustainable Development (ICEESD 2018)
PB  - Atlantis Press
SP  - 1374
EP  - 1380
SN  - 2352-5401
UR  - https://doi.org/10.2991/iceesd-18.2018.250
DO  - 10.2991/iceesd-18.2018.250
ID  - ZHAO2018/05
ER  -