Uniformity of electroelastic field within a three-phase anisotropic piezoelectric elliptical inhomogeneity in anti-plane shear

• Autorzy: Wang X. , Schiavone P.

Identyfikatory

DOI

10.24423/aom.4027

• Języki publikacji: EN

Abstrakty

EN

Using the Stroh quartic formalism, we prove that the internal electroelastic field is unconditionally uniform inside a three-phase anisotropic piezoelectric elliptical inhomogeneity with two confocal elliptical interfaces when the surrounding matrix is subjected to uniform remote anti-plane mechanical and in-plane electrical loading. The inhomogeneity and the matrix comprise monoclinic piezoelectric materials with symmetry plane at x₃ = 0 and with poling in the x₃-direction; the intermediate interphase layer is a transversely isotropic piezoelectric material with poling in the x₃-direction. Moreover, we obtain the internal uniform electroelastic field inside the elliptical inhomogeneity and the non-uniform electroelastic field in the interphase layer in real-form in terms of the fundamental piezoelectricity matrices for both the inhomogeneity and the matrix and the generalized Barnett–Lothe tensors for both the interphase layer and the matrix.

Słowa kluczowe

EN

three-phase elliptical inhomogeneity; confocal ellipses; monoclinic piezoelectric material; transversely isotropic piezoelectric material; Stroh quartic formalism; real-form solution

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2022
• Tom: Vol. 74, nr 2-3
• Strony: 143--156
• Opis fizyczny: Bibliogr. 12 poz., rys., wykr.

Twórcy

autor

Wang X.

• School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, China

autor

Schiavone P.

• Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, Alberta Canada T6G 1H9

Bibliografia

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• 7. T. Chen, A confocally multicoated elliptical inclusion under antiplane shear: some New results, Journal of Elasticity, 74, 87–97, 2004.
• 8. X. Wang, Three-phase anisotropic elliptical inclusions with internal uniform in-plane and anti-plane stresses, Mathematics and Mechanics of Solids, 21, 339–357, 2016.
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• 11. X. Wang, P. Schiavone, Generalized Barnett–Lothe tensors for the anti-plane deformations of monoclinic piezoelectric materials, European Journal of Mechanics A/Solid, 90, 104340, 2021.
• 12. Z. Suo, C.M. Kuo, D.M. Barnett, J.R. Willis, Fracture mechanics for piezo electric ceramics, Journal of the Mechanics and Physics of Solids, 40, 739–765, 1992.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).