Evaluation and verification of an HSDT-layerwise generalized finite element formulation for adaptive piezoelectric laminated plates

DOI10.1016/j.cma.2010.09.014zbMath1225.74109OpenAlexW2090436590MaRDI QIDQ646271

Paulo De Tarso R. Mendonça, Clovis S. De Barcellos, Diego Amadeu F. Torres

Publication date: 16 November 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2010.09.014

zbMATH Keywords

convergence analysisGFEMadaptive platesmixed HSDT-layerwise model

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Electromagnetic effects in solid mechanics (74F15)

Related Items (2)

Effects of the smoothness of partitions of unity on the quality of representation of singular enrichments for GFEM/XFEM stress approximations around brittle cracks ⋮ A refined finite element method for bending analysis of laminated plates integrated with piezoelectric fiber-reinforced composite actuators

Uses Software

• Mfree2D

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized finite element analysis of three-dimensional heat transfer problems exhibiting sharp thermal gradients
• Finite element analysis of laminated composite structures containing distributed piezoelectric actuators and sensors
• A refined hybrid plate theory for composite laminates with piezoelectric laminae
• Developments in the application of the generalized finite element method to thick shell problems
• p-adaptive \(\text C^{k}\) generalized finite element method for arbitrary polygonal clouds
• An accurate, simple theory of the statics and dynamics of elastic plates
• Layerwise mechanics and finite element for the dynamic analysis of piezoelectric composite plates
• An \(h\)-\(p\) adaptive method using clouds
• The partition of unity finite element method: basic theory and applications
• Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids.
• Modelling and design of adaptive composite structures
• A new cloud-based \(hp\) finite element method
• The design and analysis of the generalized finite element method
• A posteriori error estimation for generalized finite element methods
• A \(C^{k}\) continuous generalized finite element formulation applied to laminated Kirchhoff plate model
• Arbitrarily smooth generalized finite element approximations
• Dynamic analysis of laminated composite plates with piezoelectric sensor/actuator patches using the FSDT mesh-free method
• Active control of geometrically nonlinear transient vibration of composite plates with piezoelectric actuators
• A Simple Higher-Order Theory for Laminated Composite Plates
• Mixed Laminate Theory and Finite Element for Smart Piezoelectric Composite Shell Structures
• Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators
• A High-Order Theory of Plate Deformation—Part 2: Laminated Plates
• Elastic crack growth in finite elements with minimal remeshing
• Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
• THE PARTITION OF UNITY METHOD
• A generalized finite element method for the simulation of three-dimensional dynamic crack propagation.
• Derivation of plate and rod equations for a piezoelectric body from a mixed three-dimensional variational principle
• The generalized finite element method

This page was built for publication: Evaluation and verification of an HSDT-layerwise generalized finite element formulation for adaptive piezoelectric laminated plates