Direct-differentiation-based sensitivity analysis of an axisymmetric finite element formulation including torsion
G. Rauchs
Finite Elements in Analysis and Design, vol. 109, pp. 65-72, 2016
The shape sensitivity analysis using the direct differentiation method is developed for the case of axisymmetry with superposed torsion in the framework of finite strains and elastic material behavior. The accuracy of this method is compared to results obtained by the finite difference method in two simple examples.
doi:10.1016/j.finel.2015.10.006