Zwar, Jacques Marvin

Chamoin, Ludovic

Elgeti, Stefanie

2023-12-29T09:50:12Z

2023-12-29T09:50:12Z

2023-06-20

<div class="csl-bib-body"> <div class="csl-entry">Zwar, J. M., Chamoin, L., &#38; Elgeti, S. (2023, June 20). <i>Gradient-based Optimization of Geometries Comprised of CAD-Compliant Microstructures</i> [Conference Presentation]. IGA 2023, Lyon, France. http://hdl.handle.net/20.500.12708/190840</div> </div>

http://hdl.handle.net/20.500.12708/190840

Through recent advances in modern production techniques, particularly in the field of additive manufacturing, new previously unthinkable geometries have become feasible. This vast realm of new possibilities cannot be adequately addressed by classical methods in engineering, which is why numerical design techniques are becoming more and more valuable. In this context, this work aims to present concepts that exploit the emerging possibilities and facilitate numerical optimization. The numerical optimization is built on a microstructured grid, where the geometry is constructed by means of functional composition between splines [1], resulting in a regular pattern of building blocks. Here, a macro-spline defines the outer contour, a micro-geometry sets the individual tiles and a parameter-spline controls the local parametrization of the microstructure, e.g., acting on the thickness or material density in a specific region [2]. This approach opens up a broad design space, where the adaptivity of the resulting microstructure can be easily extended by increasing the number of control variables in the parameters-spline via h- or p-refinement. The geometric representation uses volume splines, on the one hand providing full compatibility with CAD/CAM and on the other hand facilitating the use of Isogeometric Analysis (IGA). To fully utilize the potential of this type of geometry parameterization, gradient-based optimization algorithms are employed in combination with analytical derivatives of the geometry and adjoint methods. We will present first results in two fields of application, namely passive heat regulation and an elasticity problem. Here, we demonstrate how optimized microstructures can compensate for irregular boundary conditions and how compliance can be minimized using these lattice-like structures for major weight reduction. This research has been supported by European Union's Horizon 2020 research and innovation program under agreement No. 862025.

European Commission

en

microstructures

IsoGeometric analysis

Gradient-based Optimization of Geometries Comprised of CAD-Compliant Microstructures

Presentation

Vortrag

École Normale Supérieure - PSL, France

Grant Agreement-862025-ADAM^2

Conference Presentation

Analysis, Design, And Manufacturing using Microstructures

C4

C6

C3

Mathematical and Algorithmic Foundations

Modeling and Simulation

Computational System Design

30

20

50

E317-01-1 - Forschungsgruppe Numerische Analyse- und Designmethoden

0000-0002-8361-0757

0000-0002-4474-1666

IGA 2023

18-06-2023

21-06-2023

On Site

Event for scientific audience

Lyon

FR

ECCOMAS

Zwar, Jacques Marvin

Multi Track

Maschinenbau

Informatik

Mathematik

2030

1020

1010

70

20

10

en

none

Publications

conference paper not in proceedings

http://purl.org/coar/resource_type/c_18cp

no Fulltext

E317-01-1 - Forschungsgruppe Numerische Analyse- und Designmethoden

École Normale Supérieure - PSL

E317-01 - Forschungsbereich Leichtbau

0000-0002-8361-0757

0000-0002-4474-1666

E317-01 - Forschungsbereich Leichtbau

E317 - Institut für Leichtbau und Struktur-Biomechanik

European Commission

Grant Agreement-862025-ADAM^2