A hierarchical finite element for composite laminated beams using a refined zigzag theory

In this work a kinematics for laminated beams enriched with a refined formulation ZigZag (RZT), originally presented by Tessler et al. in 2007, introduced in a hierarchical one dimensional type “p” finite element is presented. The finite element employs Lagrange polynomials for the approximation of...

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Detalles Bibliográficos
Autores: Nallim, Liz G., Oller Martínez, Sergio Horacio|||0000-0002-5203-8903, Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095, Flores, Fernando Gabriel
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/99517
Acceso en línea:https://hdl.handle.net/2117/99517
https://dx.doi.org/10.1016/j.compstruct.2016.12.031
Access Level:acceso abierto
Palabra clave:Composite construction--Mathematical models
Refined zigzag theory
Hierarchical finite element method
PRZ element
Beam finite element
Composite beam
Laminated beam
Materials compostos -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
Descripción
Sumario:In this work a kinematics for laminated beams enriched with a refined formulation ZigZag (RZT), originally presented by Tessler et al. in 2007, introduced in a hierarchical one dimensional type “p” finite element is presented. The finite element employs Lagrange polynomials for the approximation of the degrees of freedom of the ends (nodes) and orthogonal Gram-Schmidt polynomials to the internal degrees of freedoms. This finite element allows a very low discretization, is free of shear locking and behaves very well when the analysis of laminated composites with accurate determination of local stresses and strains at laminar level is necessary. This element has been validated in the analysis of laminated beams with various sequences of symmetric and asymmetric stacking, studying in each case its accuracy and stability.