A fully coupled two-phase bone material model
- Simulation of wave propagation in bone has important applications, including improvements in sonography-based early detection of medical conditions like osteoporosis as a fast, cheap and risk-free diagnosis tool [1]. In modeling, the problem is often reduced to only mechanical effects. Recent research includes electrical and magnetic effects as well [2]. Here we present a fully coupled two-phase approach for modeling bone considering mechanical, electrical and magnetic effects. The first phase describes cortical bone as a piezoelectric [3] and insulating solid. The second phase models bone marrow as a viscoelastic and conducting solid. Electrical and magnetic effects are coupled via the Maxwell equations. Based on energy methods in mechanics, a thermodynamically consistent material model is established and the weak and strong form of the boundary value problem are derived. A finite element approach is implemented and example calculations are shown.
| Author: | Mischa BlaszczykORCiDGND, Klaus HacklORCiDGND |
|---|---|
| URN: | urn:nbn:de:hbz:294-110168 |
| DOI: | https://doi.org/10.1002/pamm.202000144 |
| Parent Title (English): | Proceedings in applied mathematics & mechanics |
| Publisher: | Wiley |
| Place of publication: | Weinheim |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2024/03/06 |
| Date of first Publication: | 2021/01/25 |
| Publishing Institution: | Ruhr-Universität Bochum, Universitätsbibliothek |
| Volume: | 20 |
| Issue: | 1, Artikel e202000144 |
| First Page: | e202000144-1 |
| Last Page: | e202000144-2 |
| Note: | 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): |  Creative Commons - CC BY 4.0 - Attribution 4.0 International |
