Group theoretical formulation of quadrilateral and hexahedral isoparametric finite elements
Само за регистроване кориснике
2004
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
The group supermatrix procedure, developed by Zlokovic, is applied for derivation of stiffness matrices of quadrilateral and hexahedral isoparametric finite elements using the symmetry groups C-2v and D-2h respectively. The group supermatrix procedure introduces monomial shape functions in G-invariant subspaces, as well as nodal coordinates, Jacobians and matrix expressions pertaining to particular subspaces. Decomposition of the spaces of quadrilateral and hexahedral elements into four and eight G-invariant subspaces respectively is accomplished after the isoparametric transformation of the initial elements without symmetry properties into four rectangular and eight rectangular hexahedral elements. The computing of stiffness matrices of these elements by the group supermatrix procedure is programmed in Mathcad and in KOMIPS programs. In comparison with the conventional derivation and computation of stiffness matrices of these elements, the group supermatrix procedure provides substant...ial reductions in the amount of formulation and calculation, because it deals with monomial instead of polynomial shape functions, shorter expressions and smaller matrices.
Кључне речи:
isoparametric finite elements / group supermatricesИзвор:
Computers & Structures, 2004, 82, 11-12, 883-899Издавач:
- Pergamon-Elsevier Science Ltd, Oxford
DOI: 10.1016/j.compstruc.2004.02.017
ISSN: 0045-7949
WoS: 000221432700006
Scopus: 2-s2.0-2342516884
Институција/група
Inovacioni centarTY - JOUR AU - Zloković, G AU - Maneski, Taško AU - Nestorović, Miodrag S. PY - 2004 UR - https://machinery.mas.bg.ac.rs/handle/123456789/456 AB - The group supermatrix procedure, developed by Zlokovic, is applied for derivation of stiffness matrices of quadrilateral and hexahedral isoparametric finite elements using the symmetry groups C-2v and D-2h respectively. The group supermatrix procedure introduces monomial shape functions in G-invariant subspaces, as well as nodal coordinates, Jacobians and matrix expressions pertaining to particular subspaces. Decomposition of the spaces of quadrilateral and hexahedral elements into four and eight G-invariant subspaces respectively is accomplished after the isoparametric transformation of the initial elements without symmetry properties into four rectangular and eight rectangular hexahedral elements. The computing of stiffness matrices of these elements by the group supermatrix procedure is programmed in Mathcad and in KOMIPS programs. In comparison with the conventional derivation and computation of stiffness matrices of these elements, the group supermatrix procedure provides substantial reductions in the amount of formulation and calculation, because it deals with monomial instead of polynomial shape functions, shorter expressions and smaller matrices. PB - Pergamon-Elsevier Science Ltd, Oxford T2 - Computers & Structures T1 - Group theoretical formulation of quadrilateral and hexahedral isoparametric finite elements EP - 899 IS - 11-12 SP - 883 VL - 82 DO - 10.1016/j.compstruc.2004.02.017 ER -
@article{ author = "Zloković, G and Maneski, Taško and Nestorović, Miodrag S.", year = "2004", abstract = "The group supermatrix procedure, developed by Zlokovic, is applied for derivation of stiffness matrices of quadrilateral and hexahedral isoparametric finite elements using the symmetry groups C-2v and D-2h respectively. The group supermatrix procedure introduces monomial shape functions in G-invariant subspaces, as well as nodal coordinates, Jacobians and matrix expressions pertaining to particular subspaces. Decomposition of the spaces of quadrilateral and hexahedral elements into four and eight G-invariant subspaces respectively is accomplished after the isoparametric transformation of the initial elements without symmetry properties into four rectangular and eight rectangular hexahedral elements. The computing of stiffness matrices of these elements by the group supermatrix procedure is programmed in Mathcad and in KOMIPS programs. In comparison with the conventional derivation and computation of stiffness matrices of these elements, the group supermatrix procedure provides substantial reductions in the amount of formulation and calculation, because it deals with monomial instead of polynomial shape functions, shorter expressions and smaller matrices.", publisher = "Pergamon-Elsevier Science Ltd, Oxford", journal = "Computers & Structures", title = "Group theoretical formulation of quadrilateral and hexahedral isoparametric finite elements", pages = "899-883", number = "11-12", volume = "82", doi = "10.1016/j.compstruc.2004.02.017" }
Zloković, G., Maneski, T.,& Nestorović, M. S.. (2004). Group theoretical formulation of quadrilateral and hexahedral isoparametric finite elements. in Computers & Structures Pergamon-Elsevier Science Ltd, Oxford., 82(11-12), 883-899. https://doi.org/10.1016/j.compstruc.2004.02.017
Zloković G, Maneski T, Nestorović MS. Group theoretical formulation of quadrilateral and hexahedral isoparametric finite elements. in Computers & Structures. 2004;82(11-12):883-899. doi:10.1016/j.compstruc.2004.02.017 .
Zloković, G, Maneski, Taško, Nestorović, Miodrag S., "Group theoretical formulation of quadrilateral and hexahedral isoparametric finite elements" in Computers & Structures, 82, no. 11-12 (2004):883-899, https://doi.org/10.1016/j.compstruc.2004.02.017 . .