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Non-singular anti-plane fracture theory of two parallel cracks within non-local functionally graded piezoelectric materials

Non-singular anti-plane fracture theory of two parallel cracks within non-local functionally... In this paper, the electromechanical behavior of two parallel cracks in functionally graded piezoelectric materials (FGPMs) by using non-local theory is investigated under the electric permeable boundary conditions. To overcome the mathematical difficulty, a one-dimensional non-local kernel is used instead of a two-dimensional one for the fracture problem to obtain the stress and the electric displacement fields near the crack tips. The effects of the crack length, the distance between two parallel cracks, the functionally graded parameter and the lattice parameter of the FGPMs on the stress and the electric displacement fields at the crack tips are discussed. The present solution exhibit no stress and electric displacement singularities at the crack tips. The non-local solutions yield a finite hoop stress and electric displacement at the crack tips. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Strength, Fracture and Complexity IOS Press

Non-singular anti-plane fracture theory of two parallel cracks within non-local functionally graded piezoelectric materials

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References (24)

Publisher
IOS Press
Copyright
Copyright © 2017 IOS Press and the authors. All rights reserved
ISSN
1567-2069
eISSN
1875-9262
DOI
10.3233/SFC-170198
Publisher site
See Article on Publisher Site

Abstract

In this paper, the electromechanical behavior of two parallel cracks in functionally graded piezoelectric materials (FGPMs) by using non-local theory is investigated under the electric permeable boundary conditions. To overcome the mathematical difficulty, a one-dimensional non-local kernel is used instead of a two-dimensional one for the fracture problem to obtain the stress and the electric displacement fields near the crack tips. The effects of the crack length, the distance between two parallel cracks, the functionally graded parameter and the lattice parameter of the FGPMs on the stress and the electric displacement fields at the crack tips are discussed. The present solution exhibit no stress and electric displacement singularities at the crack tips. The non-local solutions yield a finite hoop stress and electric displacement at the crack tips.

Journal

Strength, Fracture and ComplexityIOS Press

Published: Jan 1, 2017

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