A new variational approach for the thermodynamic topology optimization of hyperelastic structures
- verfasst von
- Philipp Junker, Daniel Balzani
- Abstract
We present a novel approach to topology optimization based on thermodynamic extremal principles. This approach comprises three advantages: (1) it is valid for arbitrary hyperelastic material formulations while avoiding artificial procedures that were necessary in our previous approaches for topology optimization based on thermodynamic principles; (2) the important constraints of bounded relative density and total structure volume are fulfilled analytically which simplifies the numerical implementation significantly; (3) it possesses a mathematical structure that allows for a variety of numerical procedures to solve the problem of topology optimization without distinct optimization routines. We present a detailed model derivation including the chosen numerical discretization and show the validity of the approach by simulating two boundary value problems with large deformations.
- Externe Organisation(en)
-
Ruhr-Universität Bochum
- Typ
- Artikel
- Journal
- Computational mechanics
- Band
- 67
- Seiten
- 455-480
- Anzahl der Seiten
- 26
- ISSN
- 0178-7675
- Publikationsdatum
- 02.2021
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Numerische Mechanik, Meerestechnik, Maschinenbau, Theoretische Informatik und Mathematik, Computational Mathematics, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1007/s00466-020-01949-4 (Zugang:
Offen)
