A new variational approach for the thermodynamic topology optimization of hyperelastic structures
- 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.
| Author: | Philipp JunkerORCiDGND, Daniel BalzaniORCiDGND |
|---|---|
| URN: | urn:nbn:de:hbz:294-95861 |
| DOI: | https://doi.org/10.1007/s00466-020-01949-4 |
| Parent Title (English): | Computational mechanics |
| Publisher: | Springer |
| Place of publication: | Berlin |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2023/01/18 |
| Date of first Publication: | 2020/12/29 |
| Publishing Institution: | Ruhr-Universität Bochum, Universitätsbibliothek |
| Tag: | Large deformation; Topology optimization; Variational method |
| Volume: | 67 |
| First Page: | 455 |
| Last Page: | 480 |
| Note: | Dieser Beitrag ist auf Grund des DEAL-Springer-Vertrages frei zugänglich. |
| Institutes/Facilities: | Lehrstuhl für Kontinuumsmechanik |
| Dewey Decimal Classification: | Technik, Medizin, angewandte Wissenschaften / Ingenieurbau, Umwelttechnik |
| open_access (DINI-Set): | open_access |
| faculties: | Fakultät für Bau- und Umweltingenieurwissenschaften |
| Licence (English): |  Creative Commons - CC BY 4.0 - Attribution 4.0 International |
