Topology and material optimization of anisotropic materials including a filter to smooth fiber pathways

  • A three-dimensional topology optimization of anisotropic materials including the optimization of the local material orientation based on thermodynamic principles is presented. To this end, the topology is parameterized by a continuous density variable with penalization of intermediate densities (SIMP) [1]. The material orientation is defined by the rotation of a given anisotropic base material and the rotation is parameterized by a set of three Euler angles. A novel filtering technique is presented to provide a smoothing of the material orientation, i.e. the fiber paths. The influence of the filter parameter on the maximum allowed fiber path curvature is shown. The constraint on the maximum fiber curvature also influences the results for the optimal topology. Corresponding numerical results for the simultaneous optimization of the topology and local material optimization for the two-dimensional and three-dimensional case will be presented.

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Author:Dustin Roman JantosORCiDGND, Klaus HacklORCiDGND, Philipp JunkerORCiDGND
Parent Title (English):Proceedings in applied mathematics & mechanics
Place of publication:Weinheim
Document Type:Article
Date of Publication (online):2024/03/08
Date of first Publication:2021/01/25
Publishing Institution:Ruhr-Universität Bochum, Universitätsbibliothek
Issue:1, Artikel e202000113
First Page:e202000113-1
Last Page:e202000113-2
Dieser Beitrag ist auf Grund des DEAL-Wiley-Vertrages frei zugänglich.
Institutes/Facilities:Lehrstuhl für Mechanik - Materialtheorie
Dewey Decimal Classification:Technik, Medizin, angewandte Wissenschaften / Ingenieurbau, Umwelttechnik
open_access (DINI-Set):open_access
faculties:Fakultät für Bau- und Umweltingenieurwissenschaften
Licence (English):License LogoCreative Commons - CC BY-NC 4.0 - Attribution-NonCommercial 4.0 International