Numerical results on the locking for cylindrical shells

  • Claudia Chinosi Universita di Pavia
  • Lucia Della Croce University of Pavia
  • Terenzio Scapolla University of Pavia

Abstract

We investigate the performance of the Naghdi shell model using a family of hierarchic high order finite elements. We solve two cylindrical shell problems, representative of extremely discriminating situations: the membrane dominated Scordelis-Lo problem and a bending dominated problem already tested by Leinoand Pitkäranta. As it is well known, these problems are hard tests for shell elements, especially when the  thickness of the shell is approaching to zero, since the presence of hidden constraints can lead to numerical convergence problems, known as shear and membrane locking. The numerical results show the robustness of the finite elements developed, able to avoid the locking behavior.

Keywords

References

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[3] R.H. MacNeal, R.L. Harder. A proposed standard set of problems to test finite element accuracy. Finite Elements in Analysis and Design, 1: 3-20, 1985.
[4] J. Pitkäranta. The problem of membrane locking in finite element analysis of cylindrical shells, Numer. Math. , 61: 523- 542, 1992
[5] A.C. Scordelis, K.S. Lo. Computer analysis in cylindrical shells. J. Am. Concr. Inst., 61: 561- 593, 1964.
Published
Jun 7, 2023
How to Cite
CHINOSI, Claudia; DELLA CROCE, Lucia; SCAPOLLA, Terenzio. Numerical results on the locking for cylindrical shells. Computer Assisted Methods in Engineering and Science, [S.l.], v. 5, n. 1, p. 31-44, june 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1363>. Date accessed: 13 nov. 2024.
Section
Articles

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