Improvement on 8-node quadrilateral solid-shell elements by using mitc4+ technique to remove membrane locking for static analyses of plate/shell structures
Corressponding author's email:
trannhat93@gmail.comKeywords:
plate/shell, 8-node quadrilateral solid-shell elements, MITC4 technique, membrane locking, static analysesAbstract
Analyses of plate/shell structures by using 8-node quadrilateral solid-shell elements often lead to the phenomena of shear, membrane and trapezoidal lockings due to the C0-type displacement approximation. To overcome these locking phenomena, the bending strains, membrane strains and normal strains in the thickness direction are separately interpolated from values of these strains at pre-defined typing points. In this paper, beside removing the bending and trapezoidal lockings, the present 8-node quadrilateral solid-shell elements, namely S8+, are also eliminated the membrane locking based on the MITC4+ technique developed for the 4-node quadrilateral degenerated shell elements[1]. Static analyses of some benchmark plate/shell structures are presented. Numerical results show that when using the same number of elements, the S8+ elements can give better displacements than those provided by other quadrilateral and triangular shell elements.
Downloads: 0
References
] Y. Ko, P.-S. Lee, and K.-J. Bathe, “The MITC4+ shell element and its performance,” Computers & Structures169, 57–68 (2016).
H. T. Y. Yang, S. Saigal, A. Masud, and R. K. Kapania, “A survey of recent shell finite elements,” Int. J. Numer. Meth. Engng.47, 101–127 (2000).
K.-J. Bathe and E. N. Dvorkin, “A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation,” Int. J. Numer. Meth. Engng.21, 367–383 (1985).
U. Andelfinger and E. Ramm, “EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements,” Int. J. Numer. Meth. Engng.36, 1311–1337 (1993).
K.-J. Bathe and E. N. Dvorkin, “A formulation of general shell elements—the use of mixed interpolation of tensorial components,” Int. J. Numer. Meth. Engng.22, 697–722 (1986).
K. Y. Sze and L. Q. Yao, “A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Part I—solid-shell element formulation,” Int. J. Numer. Meth. Engng.48, 545–564 (2000).
G. M. Kulikov and S. V. Plotnikova, “A family of ANS four-node exact geometry shell elements in general convected curvilinear coordinates,” Int. J. Numer. Meth. Engng.83, 1376–1406 (2010).
K. D. Kim, G. Z. Liu, and S. C. Han, “A resultant 8-node solid-shell element for geometrically nonlinear analysis,” Comput Mech35, 315–331 (2004).
K.-J. Bathe, Finite Element Procedures (Prentice Hall International, Inc., 1996).
X. J.-G. Élie-Dit-Cosaque, A. Gakwaya, and H. Naceur, “Smoothed finite element method implemented in a resultant eight-node solid-shell element for geometrical linear analysis,” Comput Mech55, 105–126 (2015).
P. Nguyễn Hoàng, “Phân tích kết cấu vỏ bằng phần tử MITC3+ được làm trơn trên phần tử với hàm Bubble (bCS-MITC3+)” (Trường ĐH Sư phạm Kỹ thuật Tp.HCM, 2016)
Downloads
Published
How to Cite
Issue
Section
Categories
License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Copyright © JTE.
