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  4. MATHICSE Technical Report : Fast and accurate elastic analysis of laminated composite plates via isogeometric collocation and an equilibrium-based stress recovery approach
 
working paper

MATHICSE Technical Report : Fast and accurate elastic analysis of laminated composite plates via isogeometric collocation and an equilibrium-based stress recovery approach

Patton, Alessia
•
Dufour, John-Eric
•
Antolin Sanchez, Pablo  
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January 25, 2019

A novel approach which combines isogeometric collocation and an equilibriumbased stress recovery technique is applied to analyze laminated composite plates. Isogeometric collocation is an appealing strong form alternative to standard Galerkin approaches, able to achieve high order convergence rates coupled with a significantly reduced computational cost. Laminated composite plates are herein conveniently modeled considering only one element through the thickness with homogenized material properties. This guarantees accurate results in terms of displacements and in-plane stress components. To recover an accurate out-of-plane stress state, equilibrium is imposed in strong form as a post-processing correction step, which requires the shape functions to be highly continuous. This continuity demand is fully granted A novel approach which combines isogeometric collocation and an equilibriumbased stress recovery technique is applied to analyze laminated composite plates. Isogeometric collocation is an appealing strong form alternative to standard Galerkin approaches, able to achieve high order convergence rates coupled with a significantly reduced computational cost. Laminated composite plates are herein conveniently modeled considering only one element through the thickness with homogenized material properties. This guarantees accurate results in terms of displacements and in-plane stress components. To recover an accurate out-of-plane stress state, equilibrium is imposed in strong form as a post-processing correction step, which requires the shape functions to be highly continuous. This continuity demand is fully granted.

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Type
working paper
DOI
10.5075/epfl-MATHICSE-265012
Author(s)
Patton, Alessia
•
Dufour, John-Eric
•
Antolin Sanchez, Pablo  
•
Reali, Alessandro
Corporate authors
MATHICSE-Group
Date Issued

2019-01-25

Publisher

MATHICSE

Subjects

Isogeometric Collocation

•

Splines

•

Orthotropic materials

•

Homogenization

•

Laminated composite plates

•

Stress recovery procedure

Note

MATHICSE Technical Report Nr. 04.2019

Written at

EPFL

EPFL units
MNS  
RelationURL/DOI

IsPreviousVersionOf

https://infoscience.epfl.ch/record/269742
Available on Infoscience
March 29, 2019
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/155803
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