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

authored by: N. Vu-Bac, T. X. Duong, T. Lahmer, Xiaoying Zhuang, R. A. Sauer, Harold S. Park, Timon Rabczuk
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Bauhaus-Universität Weimar
RWTH Aachen University
Boston University (BU)
Ton Duc Thang University
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 331
Pages: 427-455
No. of pages: 29
ISSN: 0045-7825
Publication date: 01.04.2018
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, General Physics and Astronomy, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.cma.2017.09.034 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{34dd412e8a1b4907b634b1a836e8a2b0,
title = "A NURBS-based inverse analysis for reconstruction of nonlinear deformations of thin shell structures",
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",
author = "N. Vu-Bac and Duong, {T. X.} and T. Lahmer and Xiaoying Zhuang and Sauer, {R. A.} and Park, {Harold S.} and Timon Rabczuk",
note = "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.",
year = "2018",
month = apr,
day = "1",
doi = "10.1016/j.cma.2017.09.034",
language = "English",
volume = "331",
pages = "427--455",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
}