Details
| Original language | English |
|---|---|
| Pages (from-to) | 427-455 |
| Number of pages | 29 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 331 |
| Early online date | 2 Dec 2017 |
| Publication status | Published - 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.
Keywords
- Adjoint method, Instability shape change, Inverse analysis, Isogeometric analysis, Kirchhoff–Love shells, Nonlinear mechanics
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 331, 01.04.2018, p. 427-455.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A NURBS-based inverse analysis for reconstruction of nonlinear deformations of thin shell structures
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.
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
KW - Nonlinear mechanics
UR - http://www.scopus.com/inward/record.url?scp=85038360024&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2017.09.034
DO - 10.1016/j.cma.2017.09.034
M3 - Article
AN - SCOPUS:85038360024
VL - 331
SP - 427
EP - 455
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -