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Stress state of a piezoceramic body with a plane crack opened by a rigid inclusion
Authors:V. S. Kirilyuk
Affiliation:(1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
Abstract:The paper establishes a relationship between the solutions for cracks located in the isotropy plane of a transversely isotropic piezoceramic medium and opened (without friction) by rigid inclusions and the solutions for cracks in a purely elastic medium. This makes it possible to calculate the stress intensity factor (SIF) for cracks in an electroelastic medium from the SIF for an elastic isotropic material, without the need to solve the electroelastic problem. The use of the approach is exemplified by a penny-shaped crack opened by either a disk-shaped rigid inclusion of constant thickness or a rigid oblate spheroidal inclusion in an electroelastic medium __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 7, pp. 47–60, July 2008.
Keywords:transversely isotropic piezoceramic medium  plane crack  rigid inclusion  isotropy plane  penny-shaped crack  disk-shaped rigid inclusion of constant thickness  oblate spheroidal inclusion  stress intensity factor
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