Code generation for hybrid mixed mode formulation in finite element analysis

Abstract

Recently developed techniques for the symbolic derivation of formulas and the automatic generation of code for numerical computation are applied to formulate the hybrid mixed model in finite element analysis. The hybrid mixed model is a promising approach to overcome several difficulties associated with the more traditional displacement models for the analysis of “constrained-media” problems. Applying the FINGER (FINite element GEneratoR) system, FORTRAN code has been generated for computing the strain-displacement coefficients and the stiffness coefficients for a sample hybrid mixed plate bending element. Attention is paid to improving the efficiency of code generated and the generality of the approach. Described is the first full-scale problem which subject the approach to stringent conditions and requirements of an actual engineering application.