Numerical results on the locking for cylindrical shells

• Autorzy: Chinosi C. , Della Croce L. , Scapolla T.
• Konferencja: International Conference on Numerical Mathematics and Computational Mechanics (7 ; July 1996 ; Miskolc ; Węgry)
• Języki publikacji: EN

Abstrakty

EN

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 extermely discriminating situations: the membrane dominated Scordelis-Lo problem and a bending dominated problem already tested by Leino and Pitkaranta. As it is well know, 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.

Słowa kluczowe

EN

cylindrical shell; mathematical model

PL

powłoka cylindryczna; model matematyczny

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1998
• Tom: Vol. 5, nr 1
• Strony: 31--44
• Opis fizyczny: Bibliogr. 6 poz., rys., tab., wykr.

Twórcy

autor

Chinosi C.

• Dipartimento di Matematica, Universita di Pavia, I-27100 Pavia, Italy

autor

Della Croce L.

• Dipartimento di Matematica, Universita di Pavia, I-27100 Pavia, Italy

autor

Scapolla T.

• Dipartimento di Matematica, Universita di Pavia, I-27100 Pavia, Italy

Bibliografia

• [1] K.-J. Bathe, E.N. Dvorkin. A formulation of general shell elements - The use of mixed interpolation of tensorial components. Internat. J. Numer. Meths. Engrg., 22: 697-722, 1986.
• [2] Y. Leino, J. Pitkaranta. On the membrane locking of h-p finite elements in a cylindrical shell problem. Internat. J. Numer. Meths. Engrg., 37: 1053-1070, 1994.
• [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. Pitkaranta. The problem of membrane locking in finite element analysis of cylindrical shells, Numer. Math., 61: 523-542, 1992
• [5] A.C. Ścordelis, K.S. Lo. Computer analysis in cylindrical shells. J. Am. Concr. Inst., 61: 561-593, 1964.
• [6] H. Stolarski, T. Belytschko. Reduced integration for shallow-shell facet elements. In: T.J.R. Hughes, D. Gartling and R.L. Spilker, eds., New Concepts in Finite Element Analysis. ASME, New York, 1981.