An assumed strain triangular solid element for efficient analysis of plates and shells with finite rotation

Computers, Materials and Continua

Volumn 1, Issue 2, 2004, Pages 141-151

  Kim, J H ^a   Kim, Y H ^a   Lee, S W ^b  

^a Seoul National University   (South Korea)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

Assumed strain formulation; Finite rotations; Triangular solid shell element

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); INTEGRATION; KINEMATICS; MECHANICS; NUMERICAL ANALYSIS; PLATES (STRUCTURAL COMPONENTS); ROTATION;

ASSUMED STRAIN FIELDS; ASSUMED STRAIN FORMULATION; CURVED SURFACES; EFFICIENT ANALYSES; ELEMENT FORMULATIONS; FINITE ROTATIONS; FLAT FACETS; LOCKING EFFECTS; MEMBRANE LOCKING; NUMERICAL EXAMPLES; NUMERICAL INTEGRATIONS; PLATES AND SHELLS; SHELL STRUCTURES; SOLID ELEMENTS; SOLID SHELL ELEMENT FORMULATIONS; SPURIOUS KINEMATIC MODES; TRANSLATIONAL DEGREES OF FREEDOMS; TRIANGULAR SOLID SHELL ELEMENT;

SHELLS (STRUCTURES);

EID: 54949090031     PISSN: 15462218     EISSN: 15462226     Source Type: Journal    
DOI: None     Document Type: Article

References (37)

1. Allman, D. J. (1994): A basic flat facet finite elements for analysis of general shells. Int. j. numer. methods, eng., vol. 37, pp. 19-36
2. Basar, Y.; Kintzel, O. (2003): Finite Rotations and large Strains in Finite Element Shell Analysis. CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 2, pp. 217-230
3. Beda, P. (2003): On Deformation of an Euler-Bernolli Beam Under Terminal Force and Couple. CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 2, pp. 231-238
4. Briseghella, L.; Pava, P. (2003): A Conservative Time Integration Scheme for Dynamics of Elasto-damaged Thin Shells. CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 2, pp. 273-286
5. Buechter, N.; Ramm, E. (1992): Shell theory versus degeneration-A comparison in large rotation finite element analysis. Int. j. numer. methods, eng., vol. 34, pp. 39-59.
6. Chan, S. L. (1988): Geometric and material non-linear analysis of beam-columns and frames using the minimum residual displacement method. Int. j. numer. methods, eng. vol. 26, pp. 2657-2669
7. Cook, R. D. (1993): Further development of a three-node triangular shell element. Int. j. numer. methods, eng. vol. 36, pp. 1413-1425
8. Da Deppo, D. A.; Schmidt, R. (1975): Instability of clamped-hinged circular arches subjected to a point load. Trans. Am. Soc. Mech. Eng., pp. 894-896
9. th world congress on finite element method. pp. 513-522
10. Fish, J.; Belytschko, T. (1992): Stabilized Rapidly convergent 18-degrees-of-freedom flat shell triangular element. Int. j. numer. methods, eng. vol. 33, pp. 149-162
11. Gotou, H.; Kuwataka, T.; Nishihara, T.; Iwakuma, T. (2003): Finite Displacement Analysis Using Rotational Degrees of Freedom about Three Right-angled Axes. CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 2, pp. 319-328
12. Gruttmann, F.; Stein, E.; Wriggers, P. (1989): Theory and numerics of thin elastic shells with finite rotations. Ing.-Archiv. Vol. 59, pp. 54-67
13. Ibrahimbegovic, A.; Frey, F. (1993): Finite element analysis of linear and non-linear planar deformations of elastic initially curved beams. Int. j. numer. methods, eng. vol. 36, pp. 3239-3258
14. Ibrahimbegovic, A.; Knopf-Lenoir, C. (2003): Shape Optimization of Elastic Structural Systems Undergoing Large Rotations: Simultaneous Solution Procedure. CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 2, pp. 337-344
15. Ijima, K.; Obiya, H.; Iguchi, S.; Goto, S. (2003): Element Coordinates and the Utility in Large Displacement Analysis of a Space Frame. CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 2, pp. 239-248
16. lura, M.; Suetake, Y.; Atluri, S. N. (2003): Accuracy of Co-rotational Formulation for 3-D Timoshenko's Beam. CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 2, pp. 249-258
17. Keulen, F. V.; Booij, J. (1996): Refined consistent formulation of a curved triangular finite rotation shell element. Int. j. numer. methods, eng. vol. 39, pp. 2803-2820
18. Kim, J. H.; Kim, Y. H.; Lee, S. W. (2000): An assumed strain formulation of efficient solid triangular element for general shell analysis. Int. j. numer. methods, eng. vol. 47, pp. 1481-1497
19. Kim, Y. H.; Lee, S. W. (1988): A solid element formulation for large deflection analysis of composite shell structures. Comput. & Struct. Vol. 30, pp. 269-274
20. Lee, S. W.; Pian, T. H. H. (1978): Improvements of plate and shell finite elements by mixed formulations. AIAA journal vol. 16, no.1, pp. 29-34
21. Lin, W. Y.; Hsiao, K. M. (2003): A Buckling and Postbuckling Analysis of Rods Under End Torque and Compressive Load. CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 2, pp. 259-272
22. Mohan, P.; Kapania, R. K. (1998): Updated Lagrangian Formulation of a Flat Triangular Element for Thin Laminated Shells. AIAA journal, vol. 36, no.2, pp. 273-281
23. Murthy, S. S.; Gallagher, R. H. (1986): A triangular thin-shell finite element based on discrete Kirchhoff theory. Comput. Methods Appl. Mech. Eng. vol. 54, pp. 197-222.
24. Nambiar, R. V.; Valera, R. S.; Lawrence, K. L. (1993): An algorithm for adaptive refinement of triangular element meshes. Int. j. numer. methods, eng. vol. 36, pp. 499-509
25. Okamoto, S.; Omura, Y. (2003): Finite-Element Nonlinear Dynamics of Flexible Structures in Three Dimensions. CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 2, pp. 287-300
26. Onate, E.; Zarate, F.; Flores, F. (1994): A simple triangular element for thick and thin plate and shell analysis. Int. j. numer. methods, eng. vol. 37, pp. 2569-2582
27. Park, H. C.; Cho, C.; Lee, S. W. (1995): An efficient assumed strain element model with six dof per node for geometrically non-linear shells. Int. j. numer. methods, eng. vol. 38, pp. 4101-4122
28. Peraire, J.; Vahdati, M.; Morgan, K.; Zienkiewicz, O. C. (1987): Adaptive remeshing for compressive flow computations. J. Comp. Phys., Vol. 72, pp. 449-466
29. Poulsen, P. N.; Damkilde, L. D. (1996): A flat triangular shell element with loof nodes. Int. j. numer. methods, eng., vol. 39, pp. 3867-3887
30. Simo, J. C.; Fox, D. D.; Rifai M. S. (1990): On a stress resultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory. Comput. Methods Appl. Mech. Eng., vol. 79, pp. 21-76.
31. Simo, J. C.; Fox, D. D.; Rifai M. S. (1990): On a stress resultant geometrically exact shell model. Part VI: Variable thickness shells with through-the-thickness stretching. Comput. Methods Appl. Mech. Eng., vol. 81, pp. 91-126.
32. Stolarski, H.; Belytschko, T. (1983): Shear and membrane locking in curved Co element. Comput. meths. appl. mech. engrg. Vol. 41, pp. 279-296
33. Suetake, Y.; Iura, M.; Atluri, S. N. (2003): Variational Formulation and Symmetric Tangent Operator for Shells with Finite Rotation Field. CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 2, pp. 329-336
34. Sze, K. Y.; Zhu, D.; Chen, D. P. (1997): Quadratic triangular c-zero plate bending element. Int. j. numer. methods, eng. vol. 40, pp. 937-951
35. Way, S. (1938): Uniformly Loaded, Clamped Rectangular Plates with Large Deformation. Proc. 5th Int. Cong. of Appl. Mech., Cambridge, MA
36. Wood, R. D.; Zienkiewicz, O. C. (1977): Geometrically non-linear finite element analysis of beams-framescircles and axis-symmetric shells, Computers and Structures, vol. 7, pp. 725-735
37. Zupan, D.; Saje, M. (2003): A new finite element formulation of three-dimensional beam theory based on interpolation of curvature. CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 2, pp. 301-318