Details
| Original language | English |
|---|---|
| Pages (from-to) | 1289-1301 |
| Number of pages | 13 |
| Journal | Computational mechanics |
| Volume | 64 |
| Issue number | 5 |
| Early online date | 27 Apr 2019 |
| Publication status | Published - Nov 2019 |
Abstract
In this paper, a thermodynamically consistent visco-elastic growth model driven by nutrient diffusion is presented in the finite deformation framework. Growth phenomena usually occur in biological tissues. Systems involving growth are known to be open systems with a continuous injection of mass into the system which results in volume expansion. Here the growth is driven by the diffusion of a nutrient. It implies that the diffusion equation for the nutrient concentration needs to be solved in conjunction with the conservation equation of mass and momentum. Hence, the problem falls into the multi-physics class. Additionally, a viscous rheological model is introduced to account for stress relaxation. Although the emergence of residual stresses is inherent to the growth process, the viscous behaviour of the material determines to what extend such stresses remain in the body. The numerical implementation is performed using the symbolic tool Ace-Gen while employing a fully implicit and monolithic scheme.
Keywords
- Biofilm growth, Biological growth, Finite strain, Visco-elasticity
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 64, No. 5, 11.2019, p. 1289-1301.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Finite strain visco-elastic growth driven by nutrient diffusion
T2 - Theory, FEM implementation and an application to the biofilm growth
AU - Soleimani, Meisam
PY - 2019/11
Y1 - 2019/11
N2 - In this paper, a thermodynamically consistent visco-elastic growth model driven by nutrient diffusion is presented in the finite deformation framework. Growth phenomena usually occur in biological tissues. Systems involving growth are known to be open systems with a continuous injection of mass into the system which results in volume expansion. Here the growth is driven by the diffusion of a nutrient. It implies that the diffusion equation for the nutrient concentration needs to be solved in conjunction with the conservation equation of mass and momentum. Hence, the problem falls into the multi-physics class. Additionally, a viscous rheological model is introduced to account for stress relaxation. Although the emergence of residual stresses is inherent to the growth process, the viscous behaviour of the material determines to what extend such stresses remain in the body. The numerical implementation is performed using the symbolic tool Ace-Gen while employing a fully implicit and monolithic scheme.
AB - In this paper, a thermodynamically consistent visco-elastic growth model driven by nutrient diffusion is presented in the finite deformation framework. Growth phenomena usually occur in biological tissues. Systems involving growth are known to be open systems with a continuous injection of mass into the system which results in volume expansion. Here the growth is driven by the diffusion of a nutrient. It implies that the diffusion equation for the nutrient concentration needs to be solved in conjunction with the conservation equation of mass and momentum. Hence, the problem falls into the multi-physics class. Additionally, a viscous rheological model is introduced to account for stress relaxation. Although the emergence of residual stresses is inherent to the growth process, the viscous behaviour of the material determines to what extend such stresses remain in the body. The numerical implementation is performed using the symbolic tool Ace-Gen while employing a fully implicit and monolithic scheme.
KW - Biofilm growth
KW - Biological growth
KW - Finite strain
KW - Visco-elasticity
UR - http://www.scopus.com/inward/record.url?scp=85064919313&partnerID=8YFLogxK
U2 - 10.1007/s00466-019-01708-0
DO - 10.1007/s00466-019-01708-0
M3 - Article
AN - SCOPUS:85064919313
VL - 64
SP - 1289
EP - 1301
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 5
ER -