Shape optimised geometries for ductile damaging materials

Abstract

Shape optimisation is utilised to generate damage resistant structures. By means of a variational approach, the analytical gradients for an elasto-plastic material model with regularised damage properties are derived. Due to the complexity of the underlying material model, the application of the variational approach requires additional handling of the history field. The gradients are then used for Sequential Quadratic Programming (SQP) which is applied to shape optimisation and thus generation of damage optimised geometries.