Automatic Generation of Shape Function Routines

Peter Bettess and Jacqueline A Bettess
Additional contact information
Peter Bettess: University of Newcastle-upon-Tyne, School of Marine Technology
Jacqueline A Bettess: University of Durham, Computer Centre

Chapter S20 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 715-724 from Springer

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.

Keywords: Shape Function; Lagrange Polynomial; Corner Node; Element Shape Function; Linear Shape Function (search for similar items in EconPapers)
Date: 1987
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3653-9_78

Ordering information: This item can be ordered from
http://www.springer.com/9789400936539

DOI: 10.1007/978-94-009-3653-9_78

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().