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A selectively reduced degree basis for efficient mixed nonlinear isogeometric beam formulations with extensible directors
Abstract
The effect of higher order continuity in the solution field by using NURBS basis function in isogeometric analysis (IGA) is investigated for an efficient mixed finite element formulation for elastostatic beams. It is based on the Hu–Washizu variational principle considering geometrical and material nonlinearities. Here we present a reduced degree of basis functions for the additional fields of the stress resultants and strains of the beam, which are allowed to be discontinuous across elements. This approach turns out to significantly improve the computational efficiency and the accuracy of the results. We consider a beam formulation with extensible directors, where cross-sectional strains are enriched to avoid Poisson locking by an enhanced assumed strain method. In numerical examples, we show the superior per degree-of-freedom accuracy of IGA over conventional finite element analysis, due to the higher order continuity in the displacement field. We further verify the efficient rotational coupling between beams, as well as the path-independence of the results.
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Authors (3)
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Myung-Jin Choi
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Sven Klinkel
Cite as
Full text
- Publication version
- Submitted Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.cma.2023.116387
- License
- Copyright (2023 Elsevier)
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
no. 417,
ISSN: 0045-7825 - Language:
- English
- Publication year:
- 2023
- Bibliographic description:
- Choi M., Sauer R., Klinkel S.: A selectively reduced degree basis for efficient mixed nonlinear isogeometric beam formulations with extensible directors// COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING -Vol. 417, (2023), s.116387-
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.cma.2023.116387
- Sources of funding:
-
- Free publication
- Verified by:
- Gdańsk University of Technology
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