Instabilities induced by coarse meshes for a nonlinear shell problem

Engineering Computations (Swansea, Wales)

Volumn 13, Issue 6, 1996, Pages 110-114

  Crisfield, M A ^a   Peng, X ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b FEA Ltd   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL ANALYSIS; PROBLEM SOLVING; STRUCTURAL ANALYSIS; APPROXIMATION THEORY; CYLINDERS (SHAPES); FINITE ELEMENT METHOD; GEOMETRY; LAGRANGE MULTIPLIERS; NONLINEAR EQUATIONS; POISSON RATIO; STRAIN MEASUREMENT;

CANTILEVERED CYLINDRICAL SHELL; COARSE MESHES; FALSE LIMIT POINTS;

SHELLS (STRUCTURES);

ARTIFICIAL INSTABILITIES; FACET ELEMENTS; MORLEY ELEMENTS; NONLINEAR PROBLEMS;

EID: 0030367944     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644409610128445     Document Type: Article

References (9)

1. Stander, N., Matzenmiller, A. and Ramm, E., "An assessment of assumed strain methods in finite rotation shell analysis", Engineering Computations, Vol. 6, 1989, pp. 58-65.
2. Peng, X. and Crisfield, M.A., "A consistent co-rotational formulation for shells using triangular elements with constant strain and constant curvature", International Journal of Numerical Methods in Engineering, Vol. 35, 1990, pp.1829-47.
3. Morley, L.S.D., "The constant moment plate bending element", Journal of Strain Analysis, Vol. 6, 1971, pp. 204.
4. Crisfield, M.A., Non-linear Finite Element Analysis of Solids and Structures, Vol. 1, John Wiley, Chichester, 1991.
5. Crisfield, M.A. and Peng, X., "Recent research with stability and shells", Proceedings of the 1st National Congress on Computational Mechanics, Vol. 2, Greek Association of Computational Mechanics, Athens, September 1992, pp. 589-600.
6. van Keulen, F., "A geometrically nonlinear curved shell element with stress resultants", Report LTM 949, TU Delft, Computational Methods in Applied Mechanics & Engineering (in press).
7. LUSAS User's Manual, FEA Ltd, Kinston-upon-Thames, 1993.
8. Irons, B.M., "The semi loof shell element", in Ashwell, D.G. and Gallagher, R.H. (Eds), Finite Elements for Thin Shells and Curved Members, John Wiley & Sons, Chichester, 1976, pp. 197-222.
9. Crisfield, M.A., "Snap-through and snap-back responses in concrete structures and the dangers of under-integration", International Journal for Numerical Methods in Engineering, Vol. 22, 1986.