Stress State of an Orthotropic Piezoelectric Body with a Triaxial Ellipsoidal Inclusion Subject to Tension

The problem of the stress state in an orthotropic piezoelectric body with a triaxial ellipsoidal inclusion under homogeneous force and electric loads is considered. The problem is solved by the Eshelby method of equivalent inclusion generalized to the case of a piezoelectric orthotropic space. The a...

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Bibliographic Details
Published inInternational applied mechanics Vol. 55; no. 3; pp. 305 - 310
Main Authors Kirilyuk, V. S., Levchuk, O. I.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.05.2019
Springer
Springer Nature B.V
Subjects
Applications of Mathematics
Classical Mechanics
Isotropic material
Physics
Physics and Astronomy
Piezoelectricity
Stress concentration
Stress distribution
Stress state
triaxial ellipsoidal inclusion
stress distribution
generalized equivalent inclusion method
orthotropic piezoelectric body
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Summary:The problem of the stress state in an orthotropic piezoelectric body with a triaxial ellipsoidal inclusion under homogeneous force and electric loads is considered. The problem is solved by the Eshelby method of equivalent inclusion generalized to the case of a piezoelectric orthotropic space. The approach is validated against the example of a spheroidal cavity in a transversely isotropic material (the axis of revolution coincides with the symmetry axis) for which the exact solution is known. The stress distribution over the surface of the ellipsoidal cavity subject to tension is analyzed numerically.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-019-00956-0