Stress State of an Orthotropic Electroelastic Medium with an Arbitrarily Oriented Elliptic Inclusion

The problem of electric and stress state in an orthotropic electroelastic space containing an arbitrarily oriented ellipsoidal inclusion under homogeneous force and electric loads is considered. The solution of the problem is obtained using the Eschelby’s equivalent inclusion method generalized to a...

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Bibliographic Details
Published inInternational applied mechanics Vol. 57; no. 3; pp. 320 - 326
Main Authors Kyrylyuk, V. S., Levchuk, O. I.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.05.2021
Springer
Springer Nature B.V
Subjects
Analysis
Anisotropy
Applications of Mathematics
Electrical loads
Engineering
Exact solutions
Isotropic material
Numerical analysis
Piezoelectricity
Stress state
treaxial ellipsoidal inclusion
stress distribution
orthotropic piezoelectric material
generalized equivalent inclusion method
arbitrary orientation
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Summary:The problem of electric and stress state in an orthotropic electroelastic space containing an arbitrarily oriented ellipsoidal inclusion under homogeneous force and electric loads is considered. The solution of the problem is obtained using the Eschelby’s equivalent inclusion method generalized to a piezoelectric anisotropic space. Applying the approach to a spheroidal cavity in an electroelastic transversely isotropic material for which the exact solution is known confirms its effectiveness. Numerical analysis are carried out and the distribution of stresses in the material over the surface of the triaxial ellipsoidal cavity for its different orientations under tension is studied.
Bibliography:ObjectType-Article-1
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ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-021-01083-5