dc.identifier.uri |
http://dx.doi.org/10.15488/15480 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/15601 |
|
dc.contributor.author |
Bittens, Maximilian
|
|
dc.contributor.author |
Nackenhorst, Udo
|
|
dc.date.accessioned |
2023-11-24T05:59:00Z |
|
dc.date.available |
2023-11-24T05:59:00Z |
|
dc.date.issued |
2023 |
|
dc.identifier.citation |
Bittens, M.; Nackenhorst, U.: A fully implicit and thermodynamically consistent finite element framework for bone remodeling simulations. In: Computational Mechanics 71 (2023), Nr. 5, S. 853-866. DOI: https://doi.org/10.1007/s00466-022-02263-x |
|
dc.description.abstract |
This work addresses the thermodynamically consistent formulation of bone remodeling as a fully implicit finite element material model. To this end, bone remodeling is described in the framework of thermodynamics for open systems resulting in a thermodynamically consistent constitutive law. In close analogy to elastoplastic material modeling, the constitutive equations are implicitly integrated in time and incorporated into a finite element weak form. A consistent linearization scheme is provided for the subsequent incremental non-linear boundary value problem, resulting in a computationally efficient description of bone remodeling. The presented model is suitable for implementation in any standard finite element framework with quadratic or higher-order element types. Two numerical examples in three dimensions are shown as proof of the efficiency of the proposed method. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Berlin ; Heidelberg : Springer |
|
dc.relation.ispartofseries |
Computational Mechanics 71 (2023), Nr. 5 |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0 |
|
dc.subject |
Biomechanics |
eng |
dc.subject |
Bone remodeling |
eng |
dc.subject |
Finite elements |
eng |
dc.subject |
Thermodynamics with internal state variables |
eng |
dc.subject.ddc |
530 | Physik
|
|
dc.subject.ddc |
004 | Informatik
|
|
dc.title |
A fully implicit and thermodynamically consistent finite element framework for bone remodeling simulations |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1432-0924 |
|
dc.relation.issn |
0178-7675 |
|
dc.relation.doi |
https://doi.org/10.1007/s00466-022-02263-x |
|
dc.bibliographicCitation.issue |
5 |
|
dc.bibliographicCitation.volume |
71 |
|
dc.bibliographicCitation.firstPage |
853 |
|
dc.bibliographicCitation.lastPage |
866 |
|
dc.description.version |
publishedVersion |
eng |
tib.accessRights |
frei zug�nglich |
|