Locking and shear scaling factors in C° bending elements

作者: Nicholas Carpenter , Ted Belytschko , Henryk Stolarski

DOI: 10.1016/0045-7949(86)90083-0

关键词:

摘要: Abstract Two types of locking are identified in linear field C° elements: caused by shear resistance constant curvature deformation and deformation, respectively. Locking the first type can be ameliorated decoupling bending from shear, which some elements achieved selective reduced integration. Once modes decoupled, a scaling factor on stiffness used to alleviate second locking. These findings explained terms displacement, rotation beam element applied improvement triangular plate element. It is shown that resulting free performs excellently wide variety problems.

参考文章(21)
J. S Przemieniecki, Theory of matrix structural analysis ,(1985)
T. J. R. Hughes, T. E. Tezduyar, Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element Journal of Applied Mechanics. ,vol. 48, pp. 587- 596 ,(1981) , 10.1115/1.3157679
W.L. Mindle, Ted Belytschko, A study of shear factors in reduced-selective integration mindlin beam elements Computers & Structures. ,vol. 17, pp. 339- 344 ,(1983) , 10.1016/0045-7949(83)90125-6
Thomas J.R. Hughes, Martin Cohen, Medhat Haroun, Reduced and selective integration techniques in the finite element analysis of plates Nuclear Engineering and Design. ,vol. 46, pp. 203- 222 ,(1978) , 10.1016/0029-5493(78)90184-X
Isaac Fried, Shear in C0 and C1 ending finite elements International Journal of Solids and Structures. ,vol. 9, pp. 449- 460 ,(1973) , 10.1016/0020-7683(73)90063-2
K. J. Bathe, H. Saunders, Finite element procedures in engineering analysis ,(1982)
Eduardo N. Dvorkin, Klaus‐Jürgen Bathe, A continuum mechanics based four‐node shell element for general non‐linear analysis Engineering Computations. ,vol. 1, pp. 77- 88 ,(1984) , 10.1108/EB023562
Richard H. Macneal, A simple quadrilateral shell element Computers & Structures. ,vol. 8, pp. 175- 183 ,(1978) , 10.1016/0045-7949(78)90020-2
Hyman Garnet, J. Crouzet-Pascal, A.B. Pifko, Aspects of a simple triangular plate bending finite element Computers & Structures. ,vol. 12, pp. 783- 789 ,(1980) , 10.1016/0045-7949(80)90015-2