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Shape Functions Generation with Mathematica

M. D. Mikhailov
Organization: Universidade Federal do Rio de Janeiro
Department: Mechanical Engineering Dept. - EE/COPPE/UFRJ
Journal / Anthology

Hybrid Methods in Engineering
Year: 1999
Volume: 1
Page range: 79-86

Mathematica rules that produce explicit closed-form formulas for a large class of shape functions are presented. Since the results differ from the ones recently published by Dydo and Busby in Communications in Numerical Methods in Engineering, the Mathematica implementation of their algorithm is also given to show that both approaches lead to the same results. Examples are solved for 1D, 2D, and 3D elements. Mathematica, using the rules presented, obtains the desired shape functions directly directly in C or FORTRAN form.

*Engineering > Mechanical and Structural Engineering