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The p-version of finite element method for shell analysis

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Abstract

A new quadrature scheme and a family of hierarchical assumed strain elements have been developed to enhance the performance of the displacement-based hierarchical shell elements. Various linear iterative procedures have been examined for their suitability to solve system of equations resulting from hierarchic shell formulations.

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References

  • Babuska, I.; Szabo, B. A.; Katz I. N. 1981: The p-version of the finite element method. SIAM J. Numer. Anal. 18: 512–545

    Google Scholar 

  • Baker, V. A.; Axelsson, O. 1984: Finite Element Solution of Boundary Value Problem. Academic Press Inc. NY

    Google Scholar 

  • Bank, R. E.; Dupont, T. F.; Yserentant, H. 1988: The hierarchical basis multigrid method. Numer. Math. 52: 427–458

    Google Scholar 

  • Belytschko, T.; Stolarski, H.; Liu, W. K.; Carpenter, N.; Ong, J. S.-J. 1985: Stress projection for membrane and shear locking in shell finite elements. Comp. Meth. in Appl. Mech. and Engg. 51: 221–258

    Google Scholar 

  • Brandt, A. 1977: Multi-level adaptive solutions to boundary-value problems. Mathematics of Computation, 31: 333–390

    Google Scholar 

  • Carnevali, P.; Morris, R. B.; Tsuji, Y.; Taylor, G. 1992: New Basis Functions and Computational Procedures for p-type Finite Element Analysis. RJ 8710 (78272) Engineering Technology. April 3, 1992

  • Hinnant, H. E. 1993: A Fast method of numerical quadrature for p-version finite element matrices. A.I.A.A. 1386.

  • Holzer, S.; Rank, E.; Werner, H. 1990: An implementation of the hp-version of the finite element method for Reissner-Mindlin plate problems. Int. J. Numer. Methods Eng. 30: 459–471

    Google Scholar 

  • Hughes, T. J. R. 1987: The Finite Element Method. Prentice-Hall.

  • Park, K. C.; Stanley, G. M. 1986: A curved C 0 Shell element based on Assumed Natural Coordinate Strains. J. of Appl. Mech. 108: 278–290

    Google Scholar 

  • Ramm, E.; Stander, N.; Matzenmiller, A. 1989: An assessment of Assumed strain methods in finite rotation shell analysis. Eng. Comput. 6

  • Shephard, M. S.; Dey, S. 1994: Geometric mapping of finite elements on shell geometry. SCOREC report 15

  • Stanley, G. M.; Levitt, I.; Stehlin, B.; Hurlbut, B. 1992: Adaptive Analysis of Composite Shell Structures via Thickness-tailored 3D Finite Elements. Winter Annual Meeting Anaheim, CA, November 11–13, 1992

  • Surana, K. S.; Sorem, R. M. 1991: p-version hierarchical three dimensional curved shell element for elastostatics. Int. J. Numer. Methods Eng. 31: 649–676

    Google Scholar 

  • Szabo, B. A.; Sahrmann, G. J. 1988: Hierarchic plate and Shell models based on p-extensions. Int. J. Numer. Methods Eng. 26: 1855–1881

    Google Scholar 

  • Szabo, B. A.; Babuska, I.; Chayapaty, B. K. 1989: Stress computations for nearly incompressible materials by the p-version of the Finite Element method. Int. J. Numer. Methods Eng. 28: 2175–2190

    Google Scholar 

  • Zeinkiewicz, O. C.; Craig, A. 1986: Adaptive Refinement, Error Estimates, Multigrid Solution, and Hierarchic Finite Element Method Concepts. In Babuska, I. Zeinkiewicz, O. C. Gago, J.; Oliveira, E. R. de A. eds. Accuracy Estimates and Adaptive Refinements in Finite Element Computations

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Authors and Affiliations

  1. Department of Civil Engineering, Rensselaer Polytechnic Institute, 12180, Troy, NY, USA

    J. Fish & R. Guttal

  2. Scientific Computation Research Center, Rensselaer Polytechnic Institute, 12180, Troy, NY, USA

    J. Fish & R. Guttal

Authors
  1. J. Fish
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  2. R. Guttal
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Communicated by S. N. Atluri, 28 April 1995

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Fish, J., Guttal, R. The p-version of finite element method for shell analysis. Computational Mechanics 16, 328–340 (1995). https://doi.org/10.1007/BF00350722

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