Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 3767-3800 |
| Seitenumfang | 34 |
| Fachzeitschrift | Archives of Computational Methods in Engineering |
| Jahrgang | 31 |
| Ausgabenummer | 7 |
| Frühes Online-Datum | 30 Apr. 2024 |
| Publikationsstatus | Veröffentlicht - Sept. 2024 |
Abstract
This work presents a comparative review and classification between some well-known thermodynamically consistent models of hydrogel behavior in a large deformation setting, specifically focusing on solvent absorption/desorption and its impact on mechanical deformation and network swelling. The proposed discussion addresses formulation aspects, general mathematical classification of the governing equations, and numerical implementation issues based on the finite element method. The theories are presented in a unified framework demonstrating that, despite not being evident in some cases, all of them follow equivalent thermodynamic arguments. A detailed computational analysis is carried out where Taylor–Hood elements are employed in the spatial discretization to satisfy the inf-sup condition and to prevent spurious numerical oscillations. The resulting discrete problems are solved using the FEniCS platform through consistent variational formulations, employing both monolithic and staggered approaches. We conduct benchmark tests on various hydrogel structures, demonstrating that major differences arise from the chosen volumetric response of the hydrogel. The significance of this choice is frequently underestimated in the state-of-the-art literature but has been shown to have substantial implications on the resulting hydrogel behavior.
ASJC Scopus Sachgebiete
- Informatik (insg.)
- Angewandte Informatik
- Mathematik (insg.)
- Angewandte Mathematik
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in: Archives of Computational Methods in Engineering, Jahrgang 31, Nr. 7, 09.2024, S. 3767-3800.
Publikation: Beitrag in Fachzeitschrift › Übersichtsarbeit › Forschung › Peer-Review
}
TY - JOUR
T1 - A Comparative Analysis of Transient Finite-Strain Coupled Diffusion-Deformation Theories for Hydrogels
AU - Urrea-Quintero, Jorge Humberto
AU - Marino, Michele
AU - Wick, Thomas
AU - Nackenhorst, Udo
N1 - Publisher Copyright: © The Author(s) 2024.
PY - 2024/9
Y1 - 2024/9
N2 - This work presents a comparative review and classification between some well-known thermodynamically consistent models of hydrogel behavior in a large deformation setting, specifically focusing on solvent absorption/desorption and its impact on mechanical deformation and network swelling. The proposed discussion addresses formulation aspects, general mathematical classification of the governing equations, and numerical implementation issues based on the finite element method. The theories are presented in a unified framework demonstrating that, despite not being evident in some cases, all of them follow equivalent thermodynamic arguments. A detailed computational analysis is carried out where Taylor–Hood elements are employed in the spatial discretization to satisfy the inf-sup condition and to prevent spurious numerical oscillations. The resulting discrete problems are solved using the FEniCS platform through consistent variational formulations, employing both monolithic and staggered approaches. We conduct benchmark tests on various hydrogel structures, demonstrating that major differences arise from the chosen volumetric response of the hydrogel. The significance of this choice is frequently underestimated in the state-of-the-art literature but has been shown to have substantial implications on the resulting hydrogel behavior.
AB - This work presents a comparative review and classification between some well-known thermodynamically consistent models of hydrogel behavior in a large deformation setting, specifically focusing on solvent absorption/desorption and its impact on mechanical deformation and network swelling. The proposed discussion addresses formulation aspects, general mathematical classification of the governing equations, and numerical implementation issues based on the finite element method. The theories are presented in a unified framework demonstrating that, despite not being evident in some cases, all of them follow equivalent thermodynamic arguments. A detailed computational analysis is carried out where Taylor–Hood elements are employed in the spatial discretization to satisfy the inf-sup condition and to prevent spurious numerical oscillations. The resulting discrete problems are solved using the FEniCS platform through consistent variational formulations, employing both monolithic and staggered approaches. We conduct benchmark tests on various hydrogel structures, demonstrating that major differences arise from the chosen volumetric response of the hydrogel. The significance of this choice is frequently underestimated in the state-of-the-art literature but has been shown to have substantial implications on the resulting hydrogel behavior.
KW - cs.CE
KW - cond-mat.mtrl-sci
KW - cond-mat.soft
UR - http://www.scopus.com/inward/record.url?scp=85188891630&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2403.08972
DO - 10.48550/arXiv.2403.08972
M3 - Review article
VL - 31
SP - 3767
EP - 3800
JO - Archives of Computational Methods in Engineering
JF - Archives of Computational Methods in Engineering
SN - 1134-3060
IS - 7
ER -