An effective four node degenerated shell element for geometrically nonlinear analysis

Thin-Walled Structures

Volumn 24, Issue 3, 1996, Pages 261-283

  Choi, C K ^a   Paik, J G ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); CALCULATIONS; DEFORMATION; FINITE ELEMENT METHOD; INTERPOLATION; LAGRANGE MULTIPLIERS; NUMERICAL METHODS; PERFORMANCE; ROTATION; STRAIN; STRUCTURAL ANALYSIS; STRUCTURAL LOADS;

COVARIANT INPLANE STRAINS; COVARIANT MEMBRANE STRAINS; COVARIANT TRANSVERSE SHEAR STRAINS; FOUR NODE DEGENERATED SHELL ELEMENT; GEOMETRICALLY NONLINEAR ANALYSIS; LAGRANGIAN FORMULATION; MID-SURFACE INTERPOLATION; NEWTON-RAPHSON METHOD;

SHELLS (STRUCTURES);

EID: 0029753921     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/0263-8231(95)00037-2     Document Type: Article

References (20)

1. Belytschko, T., A review of recent development in plate and shell elements. Computational Mechanics - Advances and Trends, ASME, AMD, 75 (1986) 217-31.
2. Choi, C. K. & Yoo, S. W., Geometrically nonlinear behavior of an improved degenerated shell element. Computers & Structures, 40(3) (1991) 785-94.
3. Choi, C. K. & Kim, S. H., Coupled use of reduced integration and nonconforming modes in quadratic Mindlin elements. International Journal for Numerical Methods in Engineering, 28 (1989) 1909-29.
4. Dvorkin, E. N. & Bathe, K. J., A continuum mechanics based four-node shell element for general nonlinear analysis. Engineering Computation, 1 (1984) 77-88.
5. Stanley, G. M., Continuum-based shell analysis, Ph.D. Dissertation, Stanford University, Stanford, CA (1985).
6. 0 shell element based on assumed natural-coordinate strains. J. Appl. Mech., ASME, 53 (1986) 278-290.
7. Stander, N. A., Matzenmiller, A. & Ramm, E., An assessment of assumed strain methods in finite rotation analysis. Engng Computation, 6 (1989) 58-66.
8. Parisch, H., An investigation of a finite rotation four node assumed strain shell element. International Journal for Numerical Methods in Engineering, 31 (1991) 127-150.
9. Choi, C. K. & Paik, J. G., An efficient four node degenerated shell element based on the assumed covariant strain. Struct. Engng Mech., 2(1) (1994) 17-34.
10. Surana, K. S., Geometrically nonlinear formulation for the curved shell elements. Int. J. Numer. Meth. Engng, 19 (1983) 581-615.
11. Hughes, T. J. R. & Liu, W. K., Nonlinear finite element analysis of shell: Part I. Three-dimensional shells. Computer Meth. Appl. Mech. Engng, 26 (1981) 331-62.
12. Huang, H. C., Defect-free shell elements, Ph.D. Dissertation, University College of Swansea (1986).
13. Crisfield, M. A., A fast increment/iterative solution procedure that handles 'snap-through'. Computers & Structures, 13 (1981) 55-62.
14. Crisfield, M. A., An arc-length method including line searches and accelerations. Int. J. Num. Meth. Engng, 19 (1983) 1269-89.
15. Way, S., Uniform loaded, clamped rectangular plates with large deflection. Proc. 5th Int. Cong. on Applied Mechanics, Cambridge, MA (1938).
16. Simo, J. C., Fox, D. D. & Rifai, M. S., On a stress resultant geometrically exact shell model. Part III: computational aspects of the nonlinear theory. Computer Meth. Appl. Mech. Engng, 79 (1990) 21-70.
17. Almroth, B. O. & Brogan, F. A., Computational efficiency of shell elements. Nonlin. Fin. Element Anal. Plates Shell, AMD ASME, 48 (1981).
18. Knight, N. F. Jr, Macy, S. C. & McCleary, S. L., Assessment of structural analysis technology for elastic shell collapse problems. Comput. Struct. Mech. Multidiscipl. Optimiz. AD ASME, 16 (1989).
19. Seide, P. & Weingarten, V. I. On the buckling of circular cylindrical shells under pure bending. ASME J. Appl. Mech., 28 (1961) 112-6.
20. Almroth, B. O. & Starnes, J. H., The computer in shell stability analysis. J. Engng Mech. Div., ASCE, No. EM6 101 (1975) 873-88.