Showcase: shape optimisation computations

Robust optimisation of mechanical structures

The aim here is to optimise a mechanical structure subjected to random loading. The objective is to reduce the volume of the structure under a constraint (in the sense of optimisation) on the mechanical stresses (typically the work of the forces exerted or the Van Mises (mechanical) stresses. This work was carried out during G. Gargantini's thesis with Safran Helicopter Engines.

Worst case shape optimization.	Shape optimization under a reliability constraint.

Multiphysic shape optimization: some problems relating to heat exchange

The specificity of the following calculations lies in the fact that the thin wall separating the heat transfer fluid from the insulation or the cold fluid in the thermal system is taken into account via a second-order interface condition. It is written using a Ventcell condition. This work stems from the doctoral thesis by R. Zelada, which I co-supervised.

Optimal insulation of a pipe	Optimal design of a liquid-liquid heat exchanger.

Multiphysic robust shape optimization with a time dependant state

We consider a thermoelastic body submitted to an exterior random heat flux. This comes from a collaboration with G. Gargantini,, H. Harbrecht and V. Karnaev.

Shape optimization of a thermoelastic body under thermal uncertainties .