Fracture parameters of a penny-shaped crack at the interface of a piezoelectric bi-material system |
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Authors: | W?Y?Tian Email author" target="_blank">R?K?N?D?RajapakseEmail author |
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Affiliation: | (1) Department of Mechanical Engineering, The University of British Columbia, Vancouver, Canada, V6T 1Z4 |
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Abstract: | A penny-shaped crack at the interface of a piezoelectric bi-material system is considered. Analytical general solutions based
on Hankel integral transforms are used to formulate the mixed-boundary value problem corresponding to an interfacial crack
and the problem is reduced to a system of singular integral equations. The integral equations are further reduced to two systems
of algebraic equations with the aid of Jacobi polynomials and Chebyshev polynomials. Thereafter, the exact expressions for
the stress intensity factors and the electric displacement intensity factor at the tip of a crack are obtained. Selected numerical
results are presented for various bi-material systems to portray the significant features of crack tip fracture parameters
and their dependence on material properties, poling orientation and electric loading. |
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Keywords: | Cracks Electric field Fracture mechanics Piezoelectricity Stress intensity factors |
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