3D stress analysis of generally laminated piezoelectric plates with electromechanical coupling effects
type: Item
instance of: scholarly article
title: 3D stress analysis of generally laminated piezoelectric plates with electromechanical coupling effects
zbMATH Open document ID: 1443.74219
author: A. Andakhshideh
author: Roham Rafiee
author: S. Maleki
published in: Applied Mathematical Modelling
publication date: 2020-04-07T00:00:00Z
review text: The paper examines the influence of the electromechanical coupling on the inter-laminar stresses and electric field strength near the free edges of a rectangular piezoelectric plate subjected to a constant axial displacement. After a careful review of the pertinent literatures, the governing static equations and the boundary conditions are derived for the laminated piezoelectric plate using the principle of minimum total potential energy in Cartesian coordinates. The displacements and tractions are assumed to be continuous across the perfectly bonded interfaces. A three-dimensional multi-term extended Kantorovich method is chosen to investigate numerically the influence of coupling on the free edge effect. The electromechanical coupling is examined for different two-dimensional laminates. Special coupled and uncoupled inter-laminar stress components of the piezoelectric plate are considered and the convergence of solutions are discussed. The results are compared with the available analytical results in the literature. In brief, the fundamental static equations are developed for the piezoelectric plate with a linearly increasing uniaxial displacement by tacitly assuming the internal consistency (i.e., existence and uniqueness) of solutions in rectangular Cartesian coordinates. To conclude, the paper is recommendable to everyone who is already working on structural elements of smart materials in Cartesian, rectangular Cartesian and orthogonal coordinates.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 7187187
zbMATH Keywords: inter-interlaminar stress
zbMATH Keywords: Kantorovich method
zbMATH Keywords: edge effect
zbMATH Keywords: principle of minimum potential energy
reviewed by: M. Cengiz Dökmeci
MaRDI profile type: Publication
full work available at URL: j.apm.2019.04.060
OpenAlex ID: W2944024311
cites work: Efficient modeling of smart piezoelectric composite laminates: a review
cites work: Distributed piezoelectric-polymer active vibration control of a cantilever beam
cites work: Some comments on the higher-order theories of piezoelectric, piezothermoelastic and thermopiezoelectric rods and shells.
cites work: Exact analysis of coupled electroelastic behaviour of a piezoelectric plate under cylindrical bending
cites work: Exact solution for static analysis of an intelligent structure under cylindrical bending
cites work: Experimental and theoretical investigations of delamination at free edge of interface between piezoelectric thin films on a substrate
cites work: Analysis of hybrid multilayered piezoelectric plates
cites work: A refined hybrid plate theory for composite laminates with piezoelectric laminae
cites work: New higher order plate theory in modeling delamination buckling of composite laminates
cites work: Boundary layer effects in rectangular cross-ply Levy-type plates using zigzag theory
cites work: Boundary layer effects in Levy-type rectangular piezoelectric composite plates using a coupled efficient layerwise theory
cites work: Extended Kantorovich method for coupled piezoelasticity solution of piezolaminated plates showing edge effects
cites work: Q4680129
cites work: Deformation and stress analysis of circumferentially fiber-reinforced composite disks
Wikidata QID: Q127900431
DOI: 10.1016/J.APM.2019.04.060
description: scientific article; zbMATH DE number 7187187