Refined analysis of piezoelectric microcantilevers in gradient electroelasticity theory

DOI10.1134/S1995080220100157zbMath1453.74033OpenAlexW3108275172MaRDI QIDQ2214340

A. Ustenko, Elena Lykosova, Yu. O. Solyaev

Publication date: 8 December 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220100157

zbMATH Keywords

polarizationEuler-Bernoulli beamsize effectsupport condition

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Electromagnetic effects in solid mechanics (74F15) Elastic materials (74B99)

Cites Work

• A novel atomistic approach to determine strain-gradient elasticity constants: tabulation and comparison for various metals, semiconductors, silica, polymers and the (ir)relevance for nanotechnologies
• Revisiting bending theories of elastic gradient beams
• A theory of thermopiezoelectricity with strain gradient and electric field gradient effects
• Flexoelectricity and apparent piezoelectricity of a pantographic micro-bar
• Pure bending of a piezoelectric layer in second gradient electroelasticity theory
• Anti-plane inclusion problem in the second gradient electroelasticity theory
• Micro-structure in linear elasticity

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