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Automatic Generation of Shape Function Routines

In: Numerical Techniques for Engineering Analysis and Design

Author

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  • Peter Bettess

    (University of Newcastle-upon-Tyne, School of Marine Technology)

  • Jacqueline A Bettess

    (University of Durham, Computer Centre)

Abstract

Summary In this paper we show how the use of an automatic symbolic algebraic manipulation system can greatly reduce the work involved in the generation of shape functions and their derivatives for finite element analyses. The system used is called REDUCE and is available for most IBM and VAX machines. REDUCE can carry out algebraic operations on rational functions accurately, no matter how complicated the expression becomes and also produce the output in the form of a FORTRAN program. The power of the system is demonstrated by giving the code required to generate most of the one and two dimensional families of C0 continuoxis shape functions. The resulting FORTRAN code for the shape function and shape function derivatives are given for the 6 node triangular element. The advantages and disadvantages of using such a system are also considered.

Suggested Citation

  • Peter Bettess & Jacqueline A Bettess, 1987. "Automatic Generation of Shape Function Routines," Springer Books, in: G. N. Pande & J. Middleton (ed.), Numerical Techniques for Engineering Analysis and Design, chapter 0, pages 715-724, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-3653-9_78
    DOI: 10.1007/978-94-009-3653-9_78
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