In:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, The Royal Society, Vol. 465, No. 2110 ( 2009-10-08), p. 3187-3207
Abstract:
A critical state for electromechanical loads that determines when the traditional impermeable (or permeable) crack model serves as the upper or the lower bound of the dielectric crack model, first proposed for homogeneous piezoelectric materials, is studied further for functionally graded piezoelectric materials (FGPMs) in the current work. The analytical formulations of a single crack and two interacting cracks in the FGPMs are derived by using Fourier transforms, and the resulting integral equations are solved with Chebyshev polynomials. Numerical simulations are conducted to show the effect of crack length, positions of two interacting cracks and material gradient of FGPMs at this critical state. Interesting results show that the combination of the material gradient and the crack length α a plays an important role in determining this critical state. Our solutions also reveal there may exist several critical states for two interacting cracks in the FGPMs.
Type of Medium:
Online Resource
ISSN:
1364-5021
,
1471-2946
DOI:
10.1098/rspa.2009.0192
Language:
English
Publisher:
The Royal Society
Publication Date:
2009
detail.hit.zdb_id:
209241-4
detail.hit.zdb_id:
1460987-3
SSG:
11
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