Non-invasive implementation of nonlinear isogeometric analysis in an industrial FE software
Résumé
Purpose: The purpose of this paper is to further simplify the use of NURBS in industrial environnements. Although isogeometric analysis (IGA) has been the object of intensive studies over the past decade, its massive deployment in industrial analysis still appears quite marginal. This is partly due to its implementation, which is not straightforward with respect to the elementary structure of nite element (FE) codes. This often discourages industrial engineers from adopting isogeometric capabilities in their well-established simulation environment.
Methodology: Based on the concept of Bézier and Lagrange extractions, a novel method is proposed to implement IGA from an existing industrial FE code with the aim of bringing human implementation eort to the minimal possible level (only using standard input-output of FEA codes, avoid code-dependent subroutines implementation ...). An approximate global link to go from Lagrange polynomials to NURBS functions is formulated, which enables the whole FE routines to be untouched during the implementation.
Findings: As a result, only the linear system resolution step is bypassed: the resolution is performed in an external script after projecting the FE system onto the reduced, more regular, isogeometric basis. The novel procedure is successfully validated through dierent numerical experiments involving linear as well as nonlinear isogeometric analyses using the standard input/ouput of the industrial FE software Code_Aster.
Origine : Fichiers produits par l'(les) auteur(s)
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