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A selectively reduced degree basis for efficient mixed nonlinear isogeometric beam formulations with extensible directors

Abstrakt

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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Informacje szczegółowe

Kategoria:
Publikacja w czasopiśmie
Typ:
artykuły w czasopismach
Opublikowano w:
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING nr 417,
ISSN: 0045-7825
Język:
angielski
Rok wydania:
2023
Opis bibliograficzny:
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:
Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1016/j.cma.2023.116387
Źródła finansowania:
  • Publikacja bezkosztowa
Weryfikacja:
Politechnika Gdańska

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