Wyszukiwarka
Galerkin formulations of isogeometric shell analysis: Alleviating locking with Greville quadratures and higher-order elements
Abstrakt
We propose new quadrature schemes that asymptotically require only four in-plane points for Reissner–Mindlin shell elements and nine in-plane points for Kirchhoff–Love shell elements in B-spline and NURBS-based isogeometric shell analysis, independent of the polynomial degree p of the elements. The quadrature points are Greville abscissae associated with pth-order B-spline basis functions whose continuities depend on the specific Galerkin formulations, and the quadrature weights are calculated by solving a linear moment fitting problem in each parametric direction. The proposed shell element formulations are shown through numerical studies to be rank sufficient and to be free of spurious modes. The studies reveal comparable accuracy, in terms of both displacement and stress, compared with fully integrated spline-based shell elements, while at the same time reducing storage and computational cost associated with forming element stiffness and mass matrices and force vectors. The high accuracy with low computational cost makes the proposed quadratures along with higher-order spline bases, in particular polynomial orders, p = 5 and 6, good choices for alleviating membrane and shear locking in shells.
Cytowania
-
4 1
CrossRef
-
0
Web of Science
-
4 1
Scopus
Autorzy (5)
-
Z. Zou
-
T.j.r. Hughes
-
M.a. Scott
-
E.j. Savitha
Cytuj jako
Pełna treść
pełna treść publikacji nie jest dostępna w portalu
Słowa kluczowe
Informacje szczegółowe
- Kategoria:
- Publikacja w czasopiśmie
- Typ:
- artykuły w czasopismach
- Opublikowano w:
-
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
nr 380,
ISSN: 0045-7825 - Język:
- angielski
- Rok wydania:
- 2021
- Opis bibliograficzny:
- Zou Z., Hughes T., Scott M., Sauer R., Savitha E.: Galerkin formulations of isogeometric shell analysis: Alleviating locking with Greville quadratures and higher-order elements// COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING -Vol. 380, (2021), s.113757-
- DOI:
- Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1016/j.cma.2021.113757
- Weryfikacja:
- Politechnika Gdańska
wyświetlono 82 razy
Publikacje, które mogą cię zainteresować
Galerkin formulations with Greville quadrature rules for isogeometric shell analysis: Higher order elements and locking
- T. Hughes,
- Z. Zou,
- M. Scott
- + 2 autorów
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers
- T. X. Duong,
- V. N. Khiêm,
- M. Itskov
- + 1 autorów