Details
| Original language | English |
|---|---|
| Article number | 105582 |
| Number of pages | 9 |
| Journal | European Journal of Mechanics, A/Solids |
| Volume | 111 |
| Early online date | 21 Jan 2025 |
| Publication status | E-pub ahead of print - 21 Jan 2025 |
Abstract
The constrained mixture method is a powerful instrument to model soft biological tissues, in particular — their growth and remodelling (G&R) behaviour. Its clear drawback lays in the increase of governing equations which corresponds to the increase of material constituents. In the current paper we scrutinise a particular G&R model, that is based on the detailed description of material's chemo-mechano-biological state, caused by excessive load associated with collagen fibres’ unfolding. The model consist of many interacting evolution equations, solving of which takes most of computational time during applied simulations. Two qualitative model assumptions are made to improve its capabilities. Moreover, several iteration-free numerical schemes are introduced addressing the integration of evolution equations. We show that the numerical performance of the model drastically improves with the proposed schemes, while no compromises with respect to robustness or accuracy of the simulation are made.
Keywords
- Damage-induced growth, Efficient numerics, Soft biological tissue
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: European Journal of Mechanics, A/Solids, Vol. 111, 105582, 05.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Efficient time-stepping for the evolution equations of damage-induced growth and remodelling in soft biological tissues
AU - Tagiltsev, Igor
AU - Wriggers, Peter
N1 - Publisher Copyright: © 2025 The Author(s)
PY - 2025/1/21
Y1 - 2025/1/21
N2 - The constrained mixture method is a powerful instrument to model soft biological tissues, in particular — their growth and remodelling (G&R) behaviour. Its clear drawback lays in the increase of governing equations which corresponds to the increase of material constituents. In the current paper we scrutinise a particular G&R model, that is based on the detailed description of material's chemo-mechano-biological state, caused by excessive load associated with collagen fibres’ unfolding. The model consist of many interacting evolution equations, solving of which takes most of computational time during applied simulations. Two qualitative model assumptions are made to improve its capabilities. Moreover, several iteration-free numerical schemes are introduced addressing the integration of evolution equations. We show that the numerical performance of the model drastically improves with the proposed schemes, while no compromises with respect to robustness or accuracy of the simulation are made.
AB - The constrained mixture method is a powerful instrument to model soft biological tissues, in particular — their growth and remodelling (G&R) behaviour. Its clear drawback lays in the increase of governing equations which corresponds to the increase of material constituents. In the current paper we scrutinise a particular G&R model, that is based on the detailed description of material's chemo-mechano-biological state, caused by excessive load associated with collagen fibres’ unfolding. The model consist of many interacting evolution equations, solving of which takes most of computational time during applied simulations. Two qualitative model assumptions are made to improve its capabilities. Moreover, several iteration-free numerical schemes are introduced addressing the integration of evolution equations. We show that the numerical performance of the model drastically improves with the proposed schemes, while no compromises with respect to robustness or accuracy of the simulation are made.
KW - Damage-induced growth
KW - Efficient numerics
KW - Soft biological tissue
UR - http://www.scopus.com/inward/record.url?scp=85215623790&partnerID=8YFLogxK
U2 - 10.1016/j.euromechsol.2025.105582
DO - 10.1016/j.euromechsol.2025.105582
M3 - Article
AN - SCOPUS:85215623790
VL - 111
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
SN - 0997-7538
M1 - 105582
ER -