Journal
ACTA MECHANICA
Volume 224, Issue 4, Pages 777-787Publisher
SPRINGER WIEN
DOI: 10.1007/s00707-012-0783-0
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Funding
- National Natural Science Foundation for Distinguished Young Scholars [50925522]
- Hebei Province High School Science Research Project [2010159]
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Piezoelectric materials with a doubly periodic array of cracks and rigid-line inclusions under far-field antiplane mechanical load and inplane electric load are investigated. By employing the conformal mapping technique and the elliptical function theory, an exact solution of the whole-field stress and electrical displacement is obtained. The closed-form formulae for the stress and electrical displacement intensity factors at the tips of cracks and rigid-line inclusions and the effective electroelastic moduli of the composites are presented. Some existing solutions can be regarded as degenerated cases of the present results. Numerical examples are provided to show the interesting electroelastic interaction between multiple cracks and multiple rigid-line inclusions.
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