Refined Analysis of Piezoelectric Microcantilevers in Gradient Electroelasticity Theory

Refined Analysis of Piezoelectric Microcantilevers in Gradient Electroelasticity Theory

In this paper we present analytical solutions for the cantilever beam bending problems obtained in the non-classical electroelasticity theory with strain and electric field gradient effects. We show that considered model allows to provide the refined analysis for the electric field distribution arou...

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Veröffentlicht in:Lobachevskii journal of mathematics 2020-10, Vol.41 (10), p.2076-2082
Hauptverfasser: Solyaev, Y., Ustenko, A., Lykosova, E.
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Sprache:eng
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Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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container_title Lobachevskii journal of mathematics
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creator Solyaev, Y.
Ustenko, A.
Lykosova, E.
description In this paper we present analytical solutions for the cantilever beam bending problems obtained in the non-classical electroelasticity theory with strain and electric field gradient effects. We show that considered model allows to provide the refined analysis for the electric field distribution around the supproted end of the cantilever taking into account the extended number of boundary conditions, which cannot be captured in classical models.
doi_str_mv 10.1134/S1995080220100157
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subjects Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
title Refined Analysis of Piezoelectric Microcantilevers in Gradient Electroelasticity Theory
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