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Hybrid Methods in Engineering

Modeling, Programming, Analysis, Animation 

ISSN for PRINT: 1099-2391

Institutional price:

$396.00

Issues per year:

4

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Best Paper Award Selection - Editorial Board Site

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1999, Volume1

Issue 1

  92 pages  

   

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Issue price - $125.00  

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  • SHAPE FUNCTIONS GENERATION WITH Mathematica
  • Mikhail D. Mikhailov
    Technical University, Sofia, Bulgaria; and Mechanical Engineering Department—EE/COPPE/UFRJ, Universidade Federal do Rio de Janeiro, Cidade Universitaria, CP 68.503, Rio de Janeiro, RJ, 21945-970, Brasil


    ABSTRACT

    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 in C or FORTRAN form.

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