Journal ArticleDOI
Layerwise mechanics and finite element model for laminated piezoelectric shells
TLDR
In this article, a discrete-layer shell theory and associated finite element model for general laminated piezoelectric composite shells is constructed for general piezolectric composites.Abstract:
A discrete-layer shell theory and associated finite element model is constructed for general laminated piezoelectric composite shells The discrete-layer shell theory is based on linear piezoelectricity and accounts for general through-thickness variations of displacement and electrostatic potential by implementing one-dimensional piece-wise continuous Lagrange interpolation approximations over a specified number of sublayers The formulation applies to shells of general shape and lamination Initially, the static and dynamic behavior of a simply supported flat plate is studied to compare with available exact solutions, with excellent agreement being obtained Static loading and free vibration of a cylindrical ring are then considered to evaluate the element and to study the fundamental behavior of active/sensory piezoelectric shellsread more
Citations
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Journal ArticleDOI
A new finite element model for piezothermoelastic composite beam
Jian Ping Jiang,Dongxu Li +1 more
TL;DR: In this article, a finite element modeling of piezothermoelastic composite beam with distributed piezoelectric sensor and actuator layers is considered. And the influence of pyroelectric effects on the vibration control performance is also investigated.
Journal ArticleDOI
Higher order zig-zag theory for smart composite shells under mechanical-thermo-electric loading
Jinho Oh,Maenghyo Cho +1 more
TL;DR: In this paper, a higher order zig-zag shell theory based on general tensor formulation is developed to refine the predictions of the mechanical, thermal, and electric behaviors, all the complicated curvatures of surface including twisting curvatures can be described in a geometrically exact manner in the present shell theory.
Journal ArticleDOI
A finite element model for the analysis of 3D axisymmetric laminated shells with piezoelectric sensors and actuators: Bending and free vibrations
TL;DR: In this article, the bending and free vibrations of cylindrical shells with piezoelectric properties using a semi-analytical axisymmetric shell finite element model using the 3D linear elasticity theory were addressed.
Journal ArticleDOI
Piezoelectric shell theories with "a priori" continuous transverse electro-mechanical variables
Journal ArticleDOI
Multilayered plate elements with node-dependent kinematics for electro-mechanical problems
TL;DR: In this paper, a new class of finite elements (FEs) for the analysis of composite and sandwich plates embedding piezoelectric skins and patches is proposed by making use of node-by-node vari...
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book
Finite Element Analysis
B. A. Szabó,Ivo Babuška +1 more
TL;DR: In this article, the authors present a general solution based on the principle of virtual work for two-dimensional linear elasticity problems and their convergence rates in one-dimensional dimensions. But they do not consider the case of three-dimensional LEL problems.
Journal ArticleDOI
Exact solutions for rectangular bidirectional composites and sandwich plates
TL;DR: In this article, three-dimensional elasticity solutions for rectangular laminates with pinned edges are constructed for three dimensional elasticity problems, including a sandwich plate, and compared to the analogous results in classical laminated plate theory.
Book
Advanced Calculus for Applications
TL;DR: In this paper, the Laplace Transform is used to solve the problem of linear differential equations with constant coefficients, which is a special case of the problem we are dealing with here, and the results are shown to be valid for large values of x.