@inproceedings {pub2617,
	title = {Towards Multi-objective Topology Optimization of Structures subject to Crash and Static Load Cases},
	author = {Nikola Aulig AND Emily Nutwell AND Stefan Menzel AND Duane Detwiler},
	year = {2014},
	month = {September},
	abstract = {In the optimization of automotive lightweight structures, typical requirements include stiffness and crashworthiness. The hybrid-cellular automata (HCA) algorithm is a heuristic topology optimization approach, which targets a uniform distribution of the internal energy density in the structure. It has been applied to the topology optimization of structures subject to crash or static loads. Multiple load cases can be considered by a linear weighting of the field variables, however so far no
approaches exist on combining the two disciplines of crash and static loadings simultanously. Difficulties are the very different energy scales of the two disciplines and the potentially conflicting nature of the objectives. As first step we propose the topology optimization of structures subject to crash and static loads simultanously by using a linear weighting of the internal energy densities absorbed during the crash load and the elemental strain energies caused by the static load. For a set of different weightings the solutions obtained by the algorithm can be evaluated in a multi-objective context. We demonstrate on a bar example, that for the
separated disciplines the approach yields a set of non-dominated trade-off solutions, approximating the Pareto front. Furthermore, we show that such a set of trade-off solutions can also be obtained when combining crash and static load cases by carefully tuning the applied weights to the energy levels of the load
cases.},
	publisher = {CRC Press},
	booktitle = {Engineering Optimization 2014},
	pages = {847-852}
}