A NURBS-based inverse analysis for reconstruction of nonlinear deformations of thin shell structures

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • N. Vu-Bac
  • T. X. Duong
  • T. Lahmer
  • Xiaoying Zhuang
  • R. A. Sauer
  • Harold S. Park
  • Timon Rabczuk

Organisationseinheiten

Externe Organisationen

  • Bauhaus-Universität Weimar
  • Rheinisch-Westfälische Technische Hochschule Aachen (RWTH)
  • Boston University (BU)
  • Ton Duc Thang University
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Details

OriginalspracheEnglisch
Seiten (von - bis)427-455
Seitenumfang29
FachzeitschriftComputer Methods in Applied Mechanics and Engineering
Jahrgang331
Frühes Online-Datum2 Dez. 2017
PublikationsstatusVeröffentlicht - 1 Apr. 2018

Abstract

This article presents original work combining a NURBS-based inverse analysis with both kinematic and constitutive nonlinearities to recover the applied loads and deformations of thin shell structures. The inverse formulation is tackled by gradient-based optimization algorithms based on computed and measured displacements at a number of discrete locations. The proposed method allows accurately recovering the target shape of shell structures such that instabilities due to snapping and buckling are captured. The results obtained show good performance and applicability of the proposed algorithms to computer-aided manufacturing of shell structures.

ASJC Scopus Sachgebiete

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A NURBS-based inverse analysis for reconstruction of nonlinear deformations of thin shell structures. / Vu-Bac, N.; Duong, T. X.; Lahmer, T. et al.
in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 331, 01.04.2018, S. 427-455.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Vu-Bac N, Duong TX, Lahmer T, Zhuang X, Sauer RA, Park HS et al. A NURBS-based inverse analysis for reconstruction of nonlinear deformations of thin shell structures. Computer Methods in Applied Mechanics and Engineering. 2018 Apr 1;331:427-455. Epub 2017 Dez 2. doi: 10.1016/j.cma.2017.09.034
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abstract = "This article presents original work combining a NURBS-based inverse analysis with both kinematic and constitutive nonlinearities to recover the applied loads and deformations of thin shell structures. The inverse formulation is tackled by gradient-based optimization algorithms based on computed and measured displacements at a number of discrete locations. The proposed method allows accurately recovering the target shape of shell structures such that instabilities due to snapping and buckling are captured. The results obtained show good performance and applicability of the proposed algorithms to computer-aided manufacturing of shell structures.",
keywords = "Adjoint method, Instability shape change, Inverse analysis, Isogeometric analysis, Kirchhoff–Love shells, Nonlinear mechanics",
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AU - Vu-Bac, N.

AU - Duong, T. X.

AU - Lahmer, T.

AU - Zhuang, Xiaoying

AU - Sauer, R. A.

AU - Park, Harold S.

AU - Rabczuk, Timon

N1 - Funding information: We gratefully acknowledge the support by ERC COMBAT project (project number 615132 ). We would like to thank Prof. Krister Svanberg from Royal Institute of Technology for providing the MMA code.

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N2 - This article presents original work combining a NURBS-based inverse analysis with both kinematic and constitutive nonlinearities to recover the applied loads and deformations of thin shell structures. The inverse formulation is tackled by gradient-based optimization algorithms based on computed and measured displacements at a number of discrete locations. The proposed method allows accurately recovering the target shape of shell structures such that instabilities due to snapping and buckling are captured. The results obtained show good performance and applicability of the proposed algorithms to computer-aided manufacturing of shell structures.

AB - This article presents original work combining a NURBS-based inverse analysis with both kinematic and constitutive nonlinearities to recover the applied loads and deformations of thin shell structures. The inverse formulation is tackled by gradient-based optimization algorithms based on computed and measured displacements at a number of discrete locations. The proposed method allows accurately recovering the target shape of shell structures such that instabilities due to snapping and buckling are captured. The results obtained show good performance and applicability of the proposed algorithms to computer-aided manufacturing of shell structures.

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KW - Instability shape change

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