A simple approach towards fully stressed design in hyperelasticity exploiting the isoparametric finite element concept

A novel approach towards fully stressed designs in hyperelasticity is discussed leading to closed-form expressions for the sensitivities of the objective and displacements with respect to design variations. The key idea is the modi cation of the classical approach coupled with a so-called design element method o ering a lot of parallelism to standard nite element methods. We bypass implicit constraints on dependent quantities and derive an explicit linearly constrained optimization problem solved by means of rst-order procedures. The results obtained with the proposed method are adequate from an engineering point of view though being computed with a simple method