On the assumed strain formulation for geometrically nonlinear analysis

Finite Elements in Analysis and Design

Volumn 24, Issue 1, 1996, Pages 31-47

  Cho, Chahngmin ^a   Lee, Sung W ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; STIFFNESS MATRIX; STRAIN RATE; STRESS ANALYSIS; STRESS CONCENTRATION; STRUCTURAL LOADS;

GEOMETRICALLY NONLINEAR ANALYSIS; STRAIN FORMULATION;

STRUCTURAL ANALYSIS;

EID: 0030383127     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-874X(95)00045-U     Document Type: Article

References (19)

1. S.W. Lee and T.H.H. Pian, "Improvement of plate and shell finite element by mixed formulations", AIAA J. 16, pp. 29-34, 1978.
2. S. W. Lee, S. C. Wong and J.J. Rhiu, "Study of nine-node mixed formulation finite element for thin plates and shells", Comput. Struct. 21, pp. 1325-1334, 1985.
3. 0 shell element based on assumed natural-coordinate strains", J. Appl. Mech. 53, pp. 278-290, 1986.
4. H.C. Huang and E.H. Hinton, "A new nine node degenerated shell element with enhanced membrane and shear interpolation", Int. J. Numer. Methods Eng. 22, pp. 73-92, 1986.
5. J.J. Rhiu and S.W. Lee, "A new efficient mixed formulation for thin shell finite element models", Int. J. Numer. Methods Eng. 24, pp. 581-604, 1987.
6. A.F. Saleeb, T.Y. Chang and W. Graf, "A quadrilateral shell elements using a mixed formulation", Comput. Struct. 26, pp. 787-803, 1987.
7. T.Y. Chang, A.F. Saleeb and W. Graf, "On the mixed formulation of a 9-node lagrange shell elements", Comput. Methods Appl. Mech. Eng. 73, pp. 259-281, 1989.
8. T. Belytschko and B.L. Wong, "Assumed strain stabilization procedure for the 9-node lagrange shell element", Int. J. Numer. Methods Eng. 28, pp. 385-414, 1989.
9. J. J. Rhiu and S. W. Lee, "A nine node finite element for analysis of geometrically non-linear shells", Int. J. Numer. Methods Eng. 26, pp. 1945-1962, 1988.
10. W. Gilewski and M. Radwanska, "A survey of finite element models for the analysis of moderately thick shells", Finite Elements in Analysis and Design 9, pp. 1-21, 1991.
11. S. Atluri, "On the hybrid stress finite element model for incremental analysis of large deflection problems", Int. J. Solids Struct. 9, pp. 1177-1191, 1973.
12. T.H.H. Pian, "Variational principles for incremental finite element methods", J. Franklin Institute 302, pp. 473-488, 1976.
13. P.L. Boland and T.H.H. Pian, "Large deflection analysis of thin elastic structures by the assumed stress hybrid finite element method", Comput. Struct. 7, pp. 1-12, 1977.
14. H.C. Park, C. Cho and S.W. Lee, "An efficient assumed strain element model with six DOF per node for geometrically nonlinear shells", Int. J. Numer. Methods Eng. 38, 4101-4122, 1995.
15. A.F. Saleeb, T.Y. Chang and S. Yingyeunyong, "Analysis of finitely deformed shells using low-order mixed models", in: W.B. Kratzig and E. Onate (eds.), Computational Mechanics of Nonlinear Response of Shells, Springer, Berlin pp. 195-216, 1990.
16. H.C. Park, An Efficient Geometrically Nonlinear Assumed Strain Shell Element Model with Six Degrees of Freedom per Node, Ph.D. dissertation, Department of Aerospace Engineering, University of Maryland, College Park, MD, 1994.
17. J. Jang and P.M. Pinsky, "An assumed covariant strain based 9-node shell element", Int. J. Numer. Methods Eng. 22, pp. 2389-2411, 1987.
18. C. Sansour and H. Bufler, "An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation", Int. J. Numer. Methods Eng. 34, pp. 73-115. 1992.
19. H.C. Park and S.W. Lee, "A local coordinate system for assumed strain shell element formulation", Comput. Mech. 15(5), pp. 473-484, 1995.