Analytical response sensitivity computation using hybrid finite elements

摘要

This paper presents analytical sensitivity computation using hybrid finite elements. Expressions have been derived for analytical response sensitivities using two-dimensional hybrid elements developed on the basis of the modified Hu-Washizu variational principle. Computational algorithms have been formulated for sensitivity computation and the same have been implemented using a partial symbolic computational scheme, verification being done with standard bench-mark examples, Illustrations of the response sensitivity computation with respect to sizing variables have been presented. The improvement in the accuracy of sensitivity values using hybrid elements as compared with conventional displacement based elements is examined.