On the coupling of local 3D solutions and global 2D shell theory in structural mechanics

Abstract Most of mechanical systems and complex structures exhibit plate and shell components. Therefore, 2D simulation, based on plate and shell theory, appears as an appealing choice in structural analysis as it allows reducing the computational complexity. Nevertheless, this 2D framework fails fo...

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Main Authors: Giacomo Quaranta, Mustapha Ziane, Fatima Daim, Emmanuelle Abisset-Chavanne, Jean-Louis Duval, Francisco Chinesta
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Advanced Modeling and Simulation in Engineering Sciences
Subjects:
Online Access:http://link.springer.com/article/10.1186/s40323-019-0125-z
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author Giacomo Quaranta
Mustapha Ziane
Fatima Daim
Emmanuelle Abisset-Chavanne
Jean-Louis Duval
Francisco Chinesta
author_facet Giacomo Quaranta
Mustapha Ziane
Fatima Daim
Emmanuelle Abisset-Chavanne
Jean-Louis Duval
Francisco Chinesta
author_sort Giacomo Quaranta
collection DOAJ
description Abstract Most of mechanical systems and complex structures exhibit plate and shell components. Therefore, 2D simulation, based on plate and shell theory, appears as an appealing choice in structural analysis as it allows reducing the computational complexity. Nevertheless, this 2D framework fails for capturing rich physics compromising the usual hypotheses considered when deriving standard plate and shell theories. To circumvent, or at least alleviate this issue, authors proposed in their former works an in-plane-out-of-plane separated representation able to capture rich 3D behaviors while keeping the computational complexity of 2D simulations. However, that procedure it was revealed to be too intrusive for being introduced into existing commercial softwares. Moreover, experience indicated that such enriched descriptions are only compulsory locally, in some regions or structure components. In the present paper we propose an enrichment procedure able to address 3D local behaviors, preserving the direct minimally-invasive coupling with existing plate and shell discretizations. The proposed strategy will be extended to inelastic behaviors and structural dynamics.
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spelling doaj.art-e9130f0e6a974cf189eb6032416596982022-12-22T01:44:59ZengSpringerOpenAdvanced Modeling and Simulation in Engineering Sciences2213-74672019-01-016112510.1186/s40323-019-0125-zOn the coupling of local 3D solutions and global 2D shell theory in structural mechanicsGiacomo Quaranta0Mustapha Ziane1Fatima Daim2Emmanuelle Abisset-Chavanne3Jean-Louis Duval4Francisco Chinesta5ESI GroupESI GroupESI GroupPIMM, ENSAM ParisTech ESI GROUP Chair on Advanced Modeling and Simulation of Manufacturing ProcessesESI GroupPIMM, ENSAM ParisTech ESI GROUP Chair on Advanced Modeling and Simulation of Manufacturing ProcessesAbstract Most of mechanical systems and complex structures exhibit plate and shell components. Therefore, 2D simulation, based on plate and shell theory, appears as an appealing choice in structural analysis as it allows reducing the computational complexity. Nevertheless, this 2D framework fails for capturing rich physics compromising the usual hypotheses considered when deriving standard plate and shell theories. To circumvent, or at least alleviate this issue, authors proposed in their former works an in-plane-out-of-plane separated representation able to capture rich 3D behaviors while keeping the computational complexity of 2D simulations. However, that procedure it was revealed to be too intrusive for being introduced into existing commercial softwares. Moreover, experience indicated that such enriched descriptions are only compulsory locally, in some regions or structure components. In the present paper we propose an enrichment procedure able to address 3D local behaviors, preserving the direct minimally-invasive coupling with existing plate and shell discretizations. The proposed strategy will be extended to inelastic behaviors and structural dynamics.http://link.springer.com/article/10.1186/s40323-019-0125-zPlate and shells theoriesIn-plane-out-of-plane separated representationsPGDDynamics
spellingShingle Giacomo Quaranta
Mustapha Ziane
Fatima Daim
Emmanuelle Abisset-Chavanne
Jean-Louis Duval
Francisco Chinesta
On the coupling of local 3D solutions and global 2D shell theory in structural mechanics
Advanced Modeling and Simulation in Engineering Sciences
Plate and shells theories
In-plane-out-of-plane separated representations
PGD
Dynamics
title On the coupling of local 3D solutions and global 2D shell theory in structural mechanics
title_full On the coupling of local 3D solutions and global 2D shell theory in structural mechanics
title_fullStr On the coupling of local 3D solutions and global 2D shell theory in structural mechanics
title_full_unstemmed On the coupling of local 3D solutions and global 2D shell theory in structural mechanics
title_short On the coupling of local 3D solutions and global 2D shell theory in structural mechanics
title_sort on the coupling of local 3d solutions and global 2d shell theory in structural mechanics
topic Plate and shells theories
In-plane-out-of-plane separated representations
PGD
Dynamics
url http://link.springer.com/article/10.1186/s40323-019-0125-z
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