Multiple parallel cracks interaction problem in piezoelectric ceramics

This paper has two goals. First, we propose the 'pseudo-traction-electric displacement' method for solving the interaction problem of multiple parallel cracks in transversely isotropic piezoelectric ceramics. Second, we present a fundamental understanding for the role that the electric dis...

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Bibliographic Details
Published in:International journal of solids and structures Vol. 36; no. 22; pp. 3375 - 3390
Main Authors: HAN, J.-J, CHEN, Y.-H
Format: Journal Article
Language:English
Published: Oxford Elsevier Science 01.08.1999
Subjects:
Applied sciences
Building materials. Ceramics. Glasses
Ceramic industries
Chemical industry and chemicals
Electrotechnical and electronic ceramics
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fracture mechanics, fatigue and cracks
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Technical ceramics
Crack array
Stress intensity factor
Rupture
Transverse isotropy
Piezoelectricity
Modeling
Piezoelectric ceramics
Complex variable method
Electromechanical properties
ISSN:0020-7683
Online Access:Get full text
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Summary:This paper has two goals. First, we propose the 'pseudo-traction-electric displacement' method for solving the interaction problem of multiple parallel cracks in transversely isotropic piezoelectric ceramics. Second, we present a fundamental understanding for the role that the electric displacement loading plays in the interaction problem. Detailed comparisons between the results under the compound mechanical-electric loading conditions and those derived under purely mechanical loading conditions are performed. It is shown that the mechanical fracture parameters such as the stress intensity factors are no longer independent of the electric loading as they would be in single crack problems. Quite contrary, the electric displacement loading has a significant influence on the stress intensity factors, the total potential energy release rate and the mechanical strain energy release rate. This important conclusion is mainly due to the interaction effect, i.e., one of the multiple cracks releases the stresses and disturbs the electric fields near the other crack. It is also found that there are some special relative locations for the multiple parallel cracks at which the electric displacement loading has no effect on the Mode I stress intensity factor. However, the mechanical strain energy release rate has no such a property.
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ISSN:0020-7683
DOI:10.1016/S0020-7683(98)00149-8