Consistent thick shell element

Computers and Structures

Volumn 65, Issue 4, 1997, Pages 531-549

  Koziey, Brad L ^a   Mirza, Farooque A ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BENDING (DEFORMATION); DEGREES OF FREEDOM (MECHANICS); ELASTICITY; INTEGRATION; POLYNOMIALS; SHEAR DEFORMATION; SHELLS (STRUCTURES); STRAIN;

NEWTON RAPHSON METHOD; THICK SHELL FINITE ELEMENT;

FINITE ELEMENT METHOD;

EID: 0031275219     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(96)00414-2     Document Type: Article

References (27)

1. Ahmed, S., Irons, B. M. and Zienkiewiz, O. C., Analysis of thick and thin shell structures by curved finite element. Int. J. numer. Methods Engng, 1970, 2, 419-451.
2. Reissner, E., The effect of transverse shear deformation on the bending of elastic plates. J. appl. Mech., 1945, 12, 69-76.
3. Mindlin, R. D., Influence of rotary inertia and shear in flexural rotations of isotropic elastic plates. J. appl. Mech., 1951, 18, 1031-1036.
4. 0 elements. Comput. Meth. appl. Mech. Engng., 1983, 41, 275-290.
5. Zienkiewicz, O. C., Taylor, R. L. and Too, J. M., Reduced integration technique in general analysis of plates and shells. Int. J. numer. Methods Engng, 1971, 3, 275-290.
6. Pawsey, S. F. and Clough, R. L., Improved numerical integration of thick shell elements. Int. J. number. Methods Engng, 1971, 3, 575-586.
7. Parish, H., A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration. Comput. Meth. appl. Mech. Engng, 1979, 20, 323-350.
8. Hughes, T. J. R. and Cohen, M., The 'Heterosis' finite element for plate bending. Comp. Struct., 1978, 9, 445-450.
9. Belytschko, T., Wong, B. L. and Stolarski, H., Assumed strain stabilization procedure for the 9-node Lagrangian shell elements. Int. J. numer. Methods Engng, 1989, 28, 385-414.
10. Briassoulis, D., The zero-energy modes problem of the nine node lagrangian degenerated shell element. Comput. Struct., 1988, 30, 1389-1402.
11. Vu-Quoc, L. and Mora, J. A., A class of simple and efficient degenerated shell elements-analysis of global spurious-mode filtering. Comp. Methods appl. Mech. Engng, 1989, 74, 117-175.
12. Huang, H. C. and Hinton, E., A new nine node degenerated shell element with enhanced membrane and shear interpolation. Int. J. numer. Methods Engng, 1986, 22, 73-92.
13. Hinton, E. and Huang, H. C., A family of quadrilateral Mindlin plate elements with substitute shear strain fields. Comput. Struct., 1986, 23, 409-431.
14. Choi, C. K. and Kim, S. H., Coupled use of reduced integration and nonconforming modes in quadratic Mindlin element. Int. numer. Methods Engng, 1989, 28, 1909-1928.
15. Lo, K. H., Christensen, R. M. and Wu, E. M., A high-order theory of plate deformation. J. appl. Mech. ASME, 1977, A4, 663-676.
16. 0 plate bending element. Comp. Struct., 1982, 15, 177-183.
17. Reddy, J. N., A simple higher-order theory for laminated composite plates. J. Appl. Mech., 1984, 51, 745-752.
18. Levinson, M., An accurate simple theory of the statics and dynamics of elastic plates. Mech. Res. Commun., 1980, 7, 343-350.
19. Murthy, M. V. V., An improved transverse shear deformation theory for laminated anisotropic plates. NASA technical paper, 1903, 1981.
20. Ren, J. G. and Hinton, E., The finite element analysis of homogeneous and laminated composite plates using a simple higher order theory. Communs appl. numer. Meth., 1986, 2, 217-228.
21. Zienkiewicz, O. C., The Finite Element Method, 3rd edn. McGraw-Hill, London, 1977.
22. Bathe, K. J., Finite Element Procedures in Engineering Analysis. Prentice-Hall, Englewood Cliffs, NJ, 1982.
23. Timoshenko, S., Theory of Plates and Shells. McGraw-Hill, New York, 1959.
24. Little, R. W., Elasticity. Prentice-Hall, Englewood Cliffs, NJ, 1973.
25. Lindberg, G. M., Olson, M. D. and Cowper, G. R., New developments in the finite element analysis of shells. In Quat. Bul. Div. Mech. Engng and Nat. Areo. Estab. National Research Council of Canada, Division of Mechanical Engineering, Vol. 4, pp. 1-38, 1969.
26. Lukasiewicz, S., Local Loads in Plates and Shells. Sijthoff & Noordhoff, Alphen an den Rijn, 1979.
27. Young, W. C., Roark's Formulas for Stress and Strain, 6th edn. McGraw-Hill, New York, 1989.