Large displacement extension of consistent shell element for static and dynamic analysis

Computers and Structures

Volumn 62, Issue 6, 1997, Pages 943-960

  El Damatty, A A ^a   Korol, R M ^a   Mirza, F A ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER AIDED DESIGN; DEFLECTION (STRUCTURES); FINITE ELEMENT METHOD; INTEGRATION; ITERATIVE METHODS; PLATES (STRUCTURAL COMPONENTS); STIFFNESS MATRIX; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

LAGRANGIAN APPROACH; NEWMARK'S METHOD; NEWTON RAPHSON METHOD;

SHELLS (STRUCTURES);

EID: 0031102348     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(96)00303-3     Document Type: Article

References (17)

1. W. Gilewski and M. Radwanska, A survey of finite element models for the analysis of moderately thick shells. Finite Element Analysis Des. 9, 1-21 (1991).
2. J. Mackerle, Finite and boundary element analyses of shells - a bibliography (1990-1992). Finite Element Analysis Des. 14, 73-83 (1993).
3. S. Ahmad, B. M. Irons and O. C. Zienkiewicz, Analysis of thick and thin shell structures by curved finite elements. Int. J. Numer. Meth. Engng 2, 419-451 (1970).
4. R. D. Mindlin, Influence of rotary inertia and shear deformation on flexural motion of isotropic elastic plates. ASME J. Appl. Mech. 18, 31-38 (1951).
5. B. Koziey and F. A. Mirza, Consistent thick shell element. Comput. Struct. (Submitted).
6. K. J. Bathe, Finite Element Procedures in Engineering Analysis. Prentice-Hall, Englewood Cliffs, NJ (1982).
7. B. M. Irons, Frontal solution program. Int. J. Numer. Meth. Engng 2, 5-32 (1970).
8. E. Hinton and D. R. J. Owen, Finite Element Programming. Academic Press, London (1977).
9. T. H. Lin, S. R. Lin and B. Mazelsky, Elastoplastic bending of rectangular plates with large deflection. ASME, Appl. Mech. Div. 39, 978-982 (1972).
10. P. Ostrowski, Finite Element Modelling of Single Chord RHS Gap K-Joint, Ph.D. Thesis, McMaster University, Hamilton, ON (1984).
11. K. J. Bathe, E. Ramm and E. L. Wilson, Finite element formulations for large deformation dynamic analysis. Int. J. Numer. Meth. Engng 9, 353-386 (1975).
12. R. H. Mallet and L. Berlee, Automated method for the large deflection and instability analysis of 3-dimensional truss and frame assemblies, AFF DL-TR-66-102 (1966).
13. A. Gjelsvik and S. R. Bodner, The energy criterion and snap buckling of arches. J. Engng Mech. Div. ASCE 88, 87-134 (1962).
14. C. Brebbia and J. Connor, Geometrically nonlinear finite-element analysis. J. Engng Mech. Div. ASCE 95, 413-483 (1969).
15. M. L. Daali and R. M. Korol, Damage assessment in locally stiffened beams under seismic type of loading. Engng Mech. Symp. CSCE 94, Vol. IV, Winnipeg, Manitoba, pp. 209-214 (1994).
16. S. Saigal and T. Y. Yang, Nonlinear dynamic analysis with a 48 D.O.F. curved thin shell element. Int. J. Numerical Methods in Engineering 21, 1115-1128 (1985).
17. R. W. Clough and E. L. Wilson, Dynamic finite element analysis of arbitrary thin shells. Comput. Struct. 1, 33-56 (1971).