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

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...

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Bibliographic Details
Published inStrength, fracture and complexity Vol. 10; no. 1; pp. 23 - 38
Main Authors Liu, Hai-Tao, Zhou, Zhen-Gong, Wu, Jian-Guo
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.01.2017
Sage Publications Ltd
Subjects
Crack tips
Fracture mechanics
Functionally gradient materials
Hoop stress
Mathematical analysis
Piezoelectricity
Singularities
Tips
Solid mechanics
non-local theory
lattice parameter
two parallel cracks
FGPMs
electromechanical behavior
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1567-2069
1875-9262
DOI:10.3233/SFC-170198