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The electroelastic fields inside and outside a piezoelectric parabolic inclusion with uniform eigenstrains and eigenelectric fields
Author(s) -
Wang Xu,
Schiavone Peter
Publication year - 2021
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.202100050
Subject(s) - piezoelectricity , formalism (music) , electric field , classical mechanics , homogeneous , field (mathematics) , inclusion (mineral) , physics , rotation (mathematics) , mathematical analysis , mechanics , mathematics , geometry , acoustics , thermodynamics , art , musical , quantum mechanics , pure mathematics , visual arts
Using the Stroh octet formalism, we obtain the electroelastic fields in an infinite homogeneous piezoelectric medium containing a parabolic Eshelby inclusion undergoing uniform eigenstrains and eigenelectric fields. We prove that the internal electroelastic field defining stresses, total strains, electric displacements, total electric fields and rigid‐body rotation inside the parabolic inclusion is uniform. The internal uniform electroelastic field is expressed explicitly in terms of the reduced generalized compliances and the imposed eigenstrains and eigenelectric fields. The decaying non‐uniform electroelastic field in the exterior of the parabolic inclusion is also obtained.