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

N. Vu-Bac; T. X. Duong; T. Lahmer; X. Zhuang; R. A. Sauer; H. S. Park; T. Rabczuk

doi:10.1016/j.cma.2017.09.034

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

N. Vu-Bac, T. X. Duong, T. Lahmer, X. Zhuang, R. A. Sauer, H. S. Park, T. Rabczuk

College of Engineering

Research output: Contribution to journal › Article › peer-review

116 Citations (Scopus)

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.

Original language	English
Pages (from-to)	427-455
Number of pages	29
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	331
DOIs	https://doi.org/10.1016/j.cma.2017.09.034
Publication status	Published - 2018 Apr 1

Keywords

Adjoint method
Instability shape change
Inverse analysis
Isogeometric analysis
Kirchhoff–Love shells
Nonlinear mechanics

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

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10.1016/j.cma.2017.09.034

Cite this

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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 X. Zhuang and Sauer, {R. A.} and Park, {H. S.} and T. 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. Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

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doi = "10.1016/j.cma.2017.09.034",

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AU - Vu-Bac, N.

AU - Duong, T. X.

AU - Lahmer, T.

AU - Zhuang, X.

AU - Sauer, R. A.

AU - Park, H. S.

AU - Rabczuk, T.

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. Publisher Copyright: © 2017 Elsevier B.V.

PY - 2018/4/1

Y1 - 2018/4/1

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.

KW - Adjoint method

KW - Instability shape change

KW - Inverse analysis

KW - Isogeometric analysis

KW - Kirchhoff–Love shells

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

Abstract

Keywords

ASJC Scopus subject areas

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