An advanced finite element formulation for piezoelectric shell structures

DOI10.1002/nme.4521zbMath1352.74394OpenAlexW1518562996MaRDI QIDQ2952338

S. Klinkel, Werner Wagner, D. Legner

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4521

zbMATH Keywords

geometric nonlinearitymixed variational formulation3D constitutive lawsbalanced approximation spacespiezoelectric shell element

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Electromagnetic effects in solid mechanics (74F15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

Coupled higher-order layerwise mechanics and finite element for cylindrical composite and sandwich shells with piezoelectric transducers ⋮ An advanced finite element formulation for piezoelectric beam structures ⋮ Convolution finite element method for analysis of piezoelectric materials ⋮ Finite rotation FE-simulation and active vibration control of smart composite laminated structures

Cites Work

• Unnamed Item
• A ferroelectric and ferroelastic 3D hexahedral curvilinear finite element
• Consistency and recovery in electroelasticity. II: Equilibrium and mixed finite elements
• On a stress resultant geometrically exact shell model. II: The linear theory; computational aspects
• A linear quadrilateral shell element with fast stiffness computation
• Consistency and recovery in electroelasticity. I: Standard finite elements
• Modelization and numerical approximation of piezoelectric thin shells. II: Approximation by finite element methods and numerical experiments.
• Structural analysis of composite laminates using a mixed hybrid shell element
• A robust nonlinear solid shell element based on a mixed variational formulation
• Buckling control of a flexible beam using piezoelectric actuators
• Rational approach for assumed stress finite elements
• A robust non-linear mixed hybrid quadrilateral shell element
• Coupled mechanics and finite element for non-linear laminated piezoelectric shallow shells undergoing large displacements and rotations
• High-performance four-node shell element with piezoelectric coupling for the analysis of smart laminated structures
• A geometrically and materially non-linear piezoelectric three-dimensional-beam finite element formulation including warping effects
• A mixed shell formulation accounting for thickness strains and finite strain 3d material models
• Layerwise mechanics and finite element model for laminated piezoelectric shells
• The application of a finite shell element for composites containing piezo-electric polymers in vibration control
• On non-linear behaviour of spherical shallow shells bonded with piezoelectric actuators by the differential quadrature element method (DQEM)
• Analysis of piezoelastic structures with laminated piezoelectric triangle shell elements
• A finite shell element with well balanced approximation functions for piezoelectric coupling
• A class of mixed assumed strain methods and the method of incompatible modes
• Construction of the Theory of Piezoelectric Shells and Plates
• Ferroelectric and ferroelastic piezoceramics -- modeling of electromechanical hysteresis phenomena.

This page was built for publication: An advanced finite element formulation for piezoelectric shell structures