Efficient numerical treatment of a gradient damage model for materials undergoing large deformations
- In this contribution we present a gradient damage formulation (cf. [1]) for hyperelastic materials undergoing large deformations, which is based on the small strain formulation of [2]. Through discretizing the gradient extended damage field with the neighbored element method the damage update can be performed at the element level. Although local update iterations remain present, the global system of equations goes without any additional degrees of freedom compared to purely elastic computations. Furthermore, in the case of severely damaged material, an element erosion based stabilization technique is considered. Computing efficiency and numerical robustness is demonstrated in several numerical examples.
| Author: | Johannes RiesselmannORCiDGND, Philipp JunkerORCiDGND, Daniel BalzaniORCiDGND |
|---|---|
| URN: | urn:nbn:de:hbz:294-122687 |
| DOI: | https://doi.org/10.1002/pamm.202100153 |
| Parent Title (English): | Proceedings in applied mathematics & mechanics |
| Publisher: | Wiley-VCH |
| Place of publication: | Weinheim |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2024/11/25 |
| Date of first Publication: | 2021/12/14 |
| Publishing Institution: | Ruhr-Universität Bochum, Universitätsbibliothek |
| Volume: | 21 |
| Issue: | 1, Artikel e202100153 |
| First Page: | e202100153-1 |
| Last Page: | e202100153-2 |
| Note: | Dieser Beitrag ist auf Grund des DEAL-Wiley-Vertrages frei zugänglich. |
| Institutes/Facilities: | Lehrstuhl für Mechanik - 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-NC-ND 4.0 - Attribution-NonCommercial-NoDerivatives 4.0 International |
