An analytical study of vibration in functionally graded piezoelectric nanoplates: nonlocal strain gradient theory

DOI10.1007/s10483-019-2545-8zbMath1431.74057OpenAlexW2987755385WikidataQ126777316 ScholiaQ126777316MaRDI QIDQ2304228

Yanyan Li

Publication date: 9 March 2020

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-019-2545-8

zbMATH Keywords

nanoplatenonlocal strain gradientfunctionally graded piezoelectric (FGP)

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Micromechanics of solids (74M25) Random materials and composite materials (74A40)

Related Items (10)

Buckling analysis and dynamic response of FGM sandwich cylindrical panels in thermal environments using nonlocal strain gradient theory ⋮ On well-posed integral nonlocal gradient piezoelectric models for static bending of functionally graded piezoelectric nanobeam ⋮ Vibration analysis of piezoelectric sandwich nanobeam with flexoelectricity based on nonlocal strain gradient theory ⋮ A nonlocal strain gradient model for buckling analysis of laminated composite nanoplates using CLPT and TSDT ⋮ Nonlocal stress gradient formulation for damping vibration analysis of viscoelastic microbeam in thermal environment ⋮ On the vibrations of FG GNPs-RPN annular plates with piezoelectric/metallic coatings on Kerr elastic substrate considering size dependency and surface stress effects ⋮ Dynamic behavior of nanoplate on viscoelastic foundation based on spatial-temporal fractional order viscoelasticity and thermoelasticity ⋮ On bending consistency of Timoshenko beam using differential and integral nonlocal strain gradient models ⋮ An Analytical Approach for Buckling of FG Cylindrical Nanopanels Resting on Pasternak’s Foundations in the Thermal Environment ⋮ Wave propagation analysis of porous functionally graded piezoelectric nanoplates with a visco-Pasternak foundation

Cites Work

• Unnamed Item
• Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory
• The effect of thickness on the mechanics of nanobeams
• A nonlocal beam theory for bending, buckling, and vibration of nanobeams
• Small scale effects on buckling and postbuckling behaviors of axially loaded FGM nanoshells based on nonlocal strain gradient elasticity theory
• Exact solution for transient bending of a circular plate integrated with piezoelectric layers
• Coupling effect of thickness and shear deformation on size-dependent bending of micro/nano-scale porous beams
• On nonlocal elasticity
• Effects of couple-stresses in linear elasticity
• Nonlocal Continuum Field Theories

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