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New assumed strain triangles for non linear shell analysis

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Abstract

A comparison between new and existing triangular finite elements based on the shell theory proposed by Juan Carlos Simo and co-workers is presented. Particular emphasis is put on the description of new triangles which show a promising behaviour for linear and non linear shell analysis.

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References

  • Ahmad, S.; Irons, B. M.; Zienkiewicz, O. C. 1970: Analysis of thick and thin shell structures by curved finite elements. Int. J. Num. Methds. in Eng. 2: 419–451

    Google Scholar 

  • Bûchter, N.; Ramm, E. 1992: Shell theory versus degeneration. A comparison in large rotation finite element analysis. Int. J. Num. Methds. in Eng. 34: 39–59

    Google Scholar 

  • Büchter, N.; Roehl, D.; Ramm, E. 1994: Three dimensional extension of non-linear shell formulation based on the enhanced assumed strain concept. Int. J. Num. Methds. in Eng. 37: 2251–2568

    Google Scholar 

  • Dvorkin, N.; Bathe, K. J. 1989: A continuum mechanics based, four noded shell element for non-linear analysis. Eng. Comput., 1: 77–88

    Google Scholar 

  • Flores, F.; Oñate, E. 1993: A Comparison of Different Finite Elements based on Simo's Shell Theory, (in Spanish), Research Report, 33: CIMNE, Barcelona

    Google Scholar 

  • Flores, F.; Oñate, E. 1993: Dynamic analysis of shells and rods (in Spanish) Research Report 39: CIMNE, Barcelona

    Google Scholar 

  • García Garino, C. 1993: A Numerical Model for Large Strain Analysis of Elasto-plastic Solids, Ph.D. Thesis (in Spanish) Universidad Politécnica de Cataluña

  • Hallet, N. 1987: Large Deflection Impulsive Loading of Plates, Ph.D. Thesis, City University, London

    Google Scholar 

  • Morley, L. S. D. 1971: The constant moment plate bending element. J. Strain Anal., 6: 20–24

    Google Scholar 

  • Oñate, E.; Zarate, F.; Flores, F. 1994: A simple triangular element for thick and thin plate and shell analysis. Int. J. Num. Methds. in Eng. 37: 2569–2582, 1994

    Google Scholar 

  • Oñate, E.; Zienkiewicz, O. C.; Suarez, B.; Taylor, R. L. 1992: A General Methodology for Deriving Shear-Constrained Reissner-Mindlin Plate Elements. Int. J. Num. Methds. in Eng.

  • Simo, J. C.; Fox, D. D. 1989: On Stress Resultant Geometrically Exact Shell Model. Part I: Formulation and Optimal Parametrization, Comput. Meths. Appl. Mech. Engrg. 72: 267–304

    Google Scholar 

  • Simo, J. C.; Fox, D. D.; Rifai, M. S. 1989: On Stress Resultant Geometrically Exact Shell Model. Part II: The Linear Theory; Computational Aspects, Comput. Meths. Appl. Mech. Engrg. 73: 53–92

    Google Scholar 

  • Simo, J. C.; Fox, D. D.; Rifai, M. S. 1990: On Stress Resultant Geometrically Exact Shell Model. Part III: Computational Aspects of The Nonlinear Theory. Comput. Meths. Appl. Mech. Engrg. 79: 21–70

    Google Scholar 

  • Simo, J. C.; Kennedy, J. G. 1992: On Stress Resultant Geometrically Exact Shell Model. Part IV Nonlinear Plasticity: formulation and integration algorithms. Comput. Meths. Appl. Mech. Engrg. 96: 133–171

    Google Scholar 

  • Simo, J. C.; Rifai, M. S.; Fox, D. D. 1990: On Stress Resultant Geometrically Exact Shell Model. Part IV: Variable thickness shells with through the thickness stretching. Comput. Meths. Appl. Mech. Engrg. 81: 91–126

    Google Scholar 

  • Stanley, G. M.; Park, K. C.; Hughes, T. J. R. 1986: Continuum-Based Resultant Shell Elements. In Finite Element Methods for Plate and Shell Structures, Vol. 1: Element Technology, (Ed. T. J. R. Hughes & E. Hinton) Pineridge Press, pp. 1–45

  • Van Keulen, F. 1993: On refined triangular plate and shell elements, Ph.D. Thesis, TU Delft

  • Van Keulen, F.; Oñate, E. 1995: A comparison between two a dof triangles for thick and thin plate analysis. Submitted to Int. J. Num. Methds. in Eng.

  • Zienkiewicz, O. C.; Taylor, R. L.; Papadopoulos, P.; Oñate, E. 1990: Plate Bending Elements with Discrete Constrains: New Triangular Elements. Computers and Structures, 35: 505–522

    Google Scholar 

  • Zienkiewicz, O. C.; Taylor, R. L.; Papadopoulos, P.; Oñate, E. 1990: Plate Bending Elements with Discrete Constrains: New Triangular Elements. Computers and Structures, 35: 505–522

    Google Scholar 

  • Zienkiewicz, O. C.; Taylor, R. L. 1989/91: The finite element method, IV Edition, McGraw-Hill, Vol. I, Vol. II

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Communicated by S. N. Atluri, 18 August 1995

F. Flores was supported by a fellowship from the Spanish Government during the development to this work.

In memoriam of Juan Carlos Simo

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Flores, F.G., Oñate, E. & Zarate, F. New assumed strain triangles for non linear shell analysis. Computational Mechanics 17, 107–114 (1995). https://doi.org/10.1007/BF00356483

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