This area is concerned with research into possible extensions of the classic voxel method, which finds new layouts based on the density distribution. The following extensions should be highlighted: 1) FET/Sheet metal - Finite Element based Topology optimization for sheet metal, which finds layouts that take into account the requirement that they are sheet metal structures. 2) FET/AM Finite Element based Topology optimization for for additively manufactured components, which finds layouts that take into account the manufacturing conditions of 3D printing.
Colling, C.; Schumacher, A.; Mecking, K. Level-set-based topology optimization of threedimensional structures considering the manufacturing process with realistic milling tools
Structural and Multidisciplinary Optimization, 67 (12)
2024
ISSN: 1615-147X
DOI: 10.1007/s00158-024-03928-2
Weider, K.; Schumacher, A. Topological derivatives for shell structure optimization considering crash loadcases with material nonlinearities and large deformations
Structural and Multidisciplinary Optimization, 67 (7)
2024
DOI: 10.1007/s00158-023-03711-9
Clemens, P.; Schumacher, A. Nested loop approach for topology and shape optimization of crash-loaded deep-drawn components using contact forces for the inner loops
Structures, 55 :2013--2022
2023
ISSN: 23520124
DOI: 10.1016/j.istruc.2023.06.015
Clemens, P.; Schumacher, A. New Scheme to Overcome Local Optima in the Voxel-Based Topology Optimization of Sheet Metal Structures
14th WCCM-ECCOMAS Congress
Herausgeber: CIMNE
2021
DOI: 10.23967/wccm-eccomas.2020.216
Dienemann, R.; Schumacher, A. Manufacturing Constraint for deep drawn Sheet Metals in Density based Topology Optimization
Advances in Structural and Multidisciplinary Optimization (WCSMO13), Seite 392--399
2020
Dienemann, R.; Schumacher, A.; Fiebig, S. Considering linear buckling for 3D density based topology optimization
In Rodrigues, H. C. and Herskovits, J. and Mota Soares, C. M. and Araújo, A. L. and Guedes, J. M. and Folgado, J. O. and Moleiro, F. and Madeira, J. F. A., Editor, EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization
Seite 394--406
Herausgeber: Springer International Publishing, Cham
2019
DOI: 10.1007/978-3-319-97773-7_36
ISBN: 978-3-319-97772-0
Schlosser, M.; Schumacher, A.; Bellendir, K. Effective Modeling of Load Applications in Composite Structures - Accuracy, Complexity, Computational Time
Key Engineering Materials, 809 :461--466
2019
DOI: 10.4028/www.scientific.net/KEM.809.461
Weider, K.; Schumacher, A. Adjoint method for Topological Derivatives for optimization tasks with material and geometrical nonlinearities
In Rodrigues, H. C. and Herskovits, J. and Mota Soares, C. M. and Araújo, A. L. and Guedes, J. M. and Folgado, J. O. and Moleiro, F. and Madeira, J. F. A., Editor, EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization
Seite 867--878
Herausgeber: Springer International Publishing, Cham
2019
DOI: 10.1007/978-3-319-97773-7_75
ISBN: 978-3-319-97772-0
Weider, K.; Schumacher, A. Efficient analysis of topological sensitivities for crash problems using LS-Dyna implicit
15. LS-DYNA-Forum
2018
Ramsaier, M.; Stetter, R.; Till, M.; Rudolph, S. Automatic Definition of density-driven Topology Optimization with graph-based Design Languages
In Schumacher, A. and Vietor, T. and Fiebig, S. and Bletzinger, K.-U. and Maute, K., Editor, Advances in Structural and Multidisciplinary Optimization aus Springer eBook Collection Engineering
Seite 1168--1184
Herausgeber: Springer, Cham
2018
DOI: 10.1007/978-3-319-67988-4_88
ISBN: 978-3-319-67988-4
Dienemann, R.; Schumacher, A.; Fiebig, S. An Element Deactivation and Reactivation Scheme for the Topology Optimization based on the Density Method
In Schumacher, A. and Vietor, T. and Fiebig, S. and Bletzinger, K.-U. and Maute, K., Editor, Advances in Structural and Multidisciplinary Optimization aus Springer eBook Collection Engineering
Seite 1127--1142
Herausgeber: Springer, Cham
2018
DOI: 10.1007/978-3-319-67988-4_85
ISBN: 978-3-319-67988-4
Weider, K.; Schumacher, A. A topology optimization scheme for crash loaded structures using Topological Derivatives
In Schumacher, A. and Vietor, T. and Fiebig, S. and Bletzinger, K.-U. and Maute, K., Editor, Advances in Structural and Multidisciplinary Optimization aus Springer eBook Collection Engineering
Seite 1601--1614
Herausgeber: Springer, Cham
2018
DOI: 10.1007/978-3-319-67988-4_120
ISBN: 978-3-319-67988-4
Dienemann, R.; Schumacher, A.; Fiebig, S. Topology optimization for finding shell structures manufactured by deep drawing
Structural and Multidisciplinary Optimization, 56 (2) :473--485
2017
ISSN: 1615-147X
DOI: 10.1007/s00158-017-1661-0
Weider, K.; Marschner, A.; Schumacher, A. A Systematic Study on Topology Optimization of Crash Loaded Structures using LS-TaSC
11th European LS-DYNA Conference
2017
Dienemann, R.; Schumacher, A. An efficient optimization method for mechanical shells considering cut--outs
PAMM · Proc. Appl. Math. Mech., 16 (1) :713--714
2016
Weider, K.; Schumacher, A. On the calculation of Topological Derivatives considering an exemplary nonlinear material model
PAMM · Proc. Appl. Math. Mech., 16 (1) :717--718
2016
Dienemann, R.; Schumacher, A.; Fiebig, S. Topology and shape optimization of sheet metals with integrated deep-drawing-simulation
12th World Congress on Computational Mechanics (WCCM XI)
2016
Hafsa, S.; Schumacher, A. Topology optimization method for the adaptation of existing structures to new requirements, thru addition of framework structures
12th World Congress on Computational Mechanics (WCCM XI)
2016
Dienemann, R.; Schumacher, A.; Fiebig, S. Topology optimization considering the requirements of deep-drawn sheet metals
11th World Congress on Structural and Multidisciplinary Optimisation, Seite 274-279
2015
Lochner, I.; Schumacher, A. Homogenization method: Distribution of material densities
In Adriaenssens, S. and Block, P. and Veenendaal, D. and Williams, C., Editor, Shell structures for architecture
Herausgeber: Routledge/ Taylor & Francis Group, London and New York
2014
ISBN: 978-0-415-84060-6
Eschenauer, H.A.; Schumacher, A. Possibilities of Applying Various Procedures of Topology Optimization to Components subject to Mechanical Loads
Zeitschrift für Angewandte Mathematik und Mechanik (73) :392--394
1993
Dissertations:
- Dr.-Ing. Robert Dienemann (2018): Entwicklung einer Optimierungsmethodik für die Form- und Topologieoptimierung von tiefziehbaren Blechstrukturen, Shaker Verlag, ISBN: 978-3-8440-6196-3 Download
- Dr.-Ing. Manuel Ramsair (2021): Integration der Topologie- und Formoptimierung in den automatisierten digitalen Entwurf von Fachwerkstrukturen, Shaker Verlag, ISBN: 978-3-8440-7788-9 Download
- Dr.-Ing. Saad Eddine Hafsa (2021): Topology optimization method for the adaptation of mechanical structures, Shaker Verlag, ISBN: 978-3-8440-8306-4 Download
- Dr.-Ing. Katrin Weider (2021): Topologische Ableitung zur Optimierung crashbelasteter Strukturen, Shaker Verlag, ISBN: 978-3-8440-8248-7 Download
- Dr.-Ing. Michail Schlosser (2024): Optimierungsverfahren zur Erhöhung der Versagenslasten von Bolzenverbindungen in faserverstärkten Strukturen, Shaker Verlag, ISBN: 978-3-8440-9411-4
