This area is concerned with the exploration of extensions of the classical voxel method, which finds new layouts based on the density distribution. One extension in particular is worth mentioning: the FET/Sheet metal - Finite Element based Topology optimization for sheet metal, which finds layouts that take into account the fact that sheet metal structures are involved.
Dienemann, R., Schumacher, A. (2019): "Manufacturing Constraint for deep drawn Sheet Metals in Density based Topology Optimization", Proceeding of the World Congress of Structural and Multidisciplinary Optimization, May 20-24, 2019, Beijing, China
Ramsaier, M., Till, M., Schumacher, A., Rudolph, S. (2019): "On a Physics-based Reconstruction Algorithm for Generating Clean Parametric Native CAD-Models from Density-based Topology Optimization Results", Proceeding of the World Congress of Structural and Multidisciplinary Optimization, May 20-24, 2019, Beijing, China
Hafsa, S., Butt, J., Schumacher, A. (2019): "New geometric features in the topology optimization for adaptation of structures", , in: X.Guo, H. Huang (eds.): Advances in Structural and Multidisciplinary Optimization, ISBN 978-7-89437-207-9, 258-263
Ramsaier, M., Breckle, T., Till, M. , Rudolph. S., Schumacher, A. (2019): Automated evaluation of manufacturability and cost of steel tube constructions with graph-based design languages, 13th CIRP Conference on Intelligent Computation in Manufacturing Engineering, Elsevier
Dienemann, R., Schumacher, A., Fiebig, S. (2018): "An Element Deactivation and Reactivation Scheme for the Topology Optimization based on the Density Method", in: Schumacher, A., Vietor, T., Fiebig, S., Bletzinger, K.-U., Maute, K. (Hrsg.): Advances in Structural and Multidisciplinary Optimization, Proceedings of the 12th World Congress of Structural and Multidisciplinary Optimization (WCSMO12), Springer Nature, 1127-1142, 2018
Weider, K., Marschner, A., Schumacher, A. (2017) “A Systematic Study on Topology Optimization of Crash Loaded Structures using LS-TaSC”, Proc. of the 11th European LS-DYNA Conference 2017, 9. - 11. Mai 2017, Salzburg, Austria, 2017
Dienemann, R., Schumacher, A., Fiebig, S. (2017): “Using topology optimization for finding shell structures manufactured by deep-drawing”, Journal of Structural and Multidisciplinary Optimization (2017) 56:473–485
Dienemann, R., Schumacher, A., Fiebig, S. (2016): “Topology and shape optimization of sheet metals with integrated deep-drawing-simulation”, Proceedings of the 12th World Congress on Computational Mechanics (WCCM XI) wccm2016.org/data/WCCM_Proceeding_v2.0.pdf
Dienemann, R., Schumacher, A., Fiebig, S. (2016): “Topology and shape optimization of sheet metals with integrated deep-drawing-simulation”, Proceedings of the 12th World Congress on Computational Mechanics (WCCM XI) wccm2016.org/data/WCCM_Proceeding_v2.0.pdf
Dienemann, R., Schumacher, A., Fiebig, S. (2016): “An efficient optimization method for mechanical shells considering cut-outs”, Proc. Appl. Math. Mech. 16, 713-714 (2016) onlinelibrary.wiley.com/doi/10.1002/pamm.201610345/epdf
Dienemann, R., Schumacher, A.; Fiebig, S. (2015): “Topology optimization considering the requirements of deep-drawn sheet metals”, Proceedings of the 11th World Congress on Structural and Multidisciplinary Optimisation, 07th -12th, June 2015, Sydney, Australia http://web.aeromech.usyd.edu.au/WCSMO2015/papers/1102_paper.pdf
Lochner, I.; Schumacher, A. (2014): “Homogenization method: Distribution of material densities”, Chapter 17 in: S. Adriaenssens, P. Block, D. Veenendaal, C. Williams (eds.): Shells for Architecture - Form finding and structural optimization, Routledge-Verlag, ISBN 978-0-415-84060-6
Eschenauer, H.A., Schumacher, A. (1993): „Possibilities of Applying Various Procedures of Topology Optimization to Components subject to Mechanical Loads“. ZAMM-Z. angew. Math. Mech. 73, T 392-T394.