Geometric and material sensitivities for elasto‐plasticity including non‐local damage regularisation

Abstract

Sensitivity analysis is applied to a regularised non-local ductile damage model. A variational approach is utilised to derive the analytical gradients of different objectives with respect to either geometrical of material parameters. Due to the definition of the material model, enhanced algorithmic treatments are necessary to capture its history dependent nature within the sensitivity computation. The gradient information with respect to the geometrical parameters are used to derive damage tolerant geometries in shape optimisation using Sequential Quadratic Programming (SQP). The sensitivities with respect to the material parameters are used to analyse the response and impact of certain material parameters of the model during loading and unloading of a specimen.

Numerical optimisation of damage in extrusion processes

“…Application of these gradients enables for minimisation and control of damage in analysed optimisation problems. A more detailed layout of this concept is presented in for example [4,5]. However, this approach does not include the contact mechanics necessary for forming simulations.…”

“…While numerical optimisation of damage is applied to academic-type problems for structural optimisation in literature, compare [4][5][6], its application within industrial-like problems is only scarcely researched. In this work a framework around the commercial software Abaqus FEA [7] is proposed, which handles the contact problems and runs the simulations, enabling numerical optimisation of forming processes.…”