Multiscale modeling of viscoelastic plant tissue
- Author
- P. Ghysels, G. Samaey, Paul Van Liedekerke (UGent) , E. Tijskens, H. Ramon and D. Roose
- Organization
- Abstract
- We present a multiscale method for the simulation of large viscoelastic deformations and show its applicability to biological tissue such as plant tissue. At the microscopic level we use a particle method to model the geometrical structure and basic properties of individual cells. The cell fluid, modeled as a viscoelastic fluid by means of smoothed particle hydrodynamics (SPH), is enclosed in an elastic cell wall, modeled by discrete elements. The macroscopic equation and stress tensor are derived from the SPH model by means of the generalized mathematical homogenization (GMH) technique. The macroscopic domain is discretized using standard finite elements, where the stress tensor is evaluated from microscopic simulations in small sub-domains, called representative volume elements (RVEs). Our emphasis is on reconstructing the microscopic state inside the RVE for a given macroscopic deformation and velocity gradient. We propose a scheme to initialize the RV E consistently, not only with the macroscopic variables, but also with the microscopic dynamics.
- Keywords
- SPH, micromechanics, biological tissue deformation, computational homogenization, RVE
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01HPPXSXVACK8GZTR9VC7SR8XK
- MLA
- Ghysels, P., et al. “Multiscale Modeling of Viscoelastic Plant Tissue.” INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING, vol. 8, no. 4, 2010, pp. 379–96, doi:10.1615/IntJMultCompEng.v8.i4.30.
- APA
- Ghysels, P., Samaey, G., Van Liedekerke, P., Tijskens, E., Ramon, H., & Roose, D. (2010). Multiscale modeling of viscoelastic plant tissue. INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING, 8(4), 379–396. https://doi.org/10.1615/IntJMultCompEng.v8.i4.30
- Chicago author-date
- Ghysels, P., G. Samaey, Paul Van Liedekerke, E. Tijskens, H. Ramon, and D. Roose. 2010. “Multiscale Modeling of Viscoelastic Plant Tissue.” INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING 8 (4): 379–96. https://doi.org/10.1615/IntJMultCompEng.v8.i4.30.
- Chicago author-date (all authors)
- Ghysels, P., G. Samaey, Paul Van Liedekerke, E. Tijskens, H. Ramon, and D. Roose. 2010. “Multiscale Modeling of Viscoelastic Plant Tissue.” INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING 8 (4): 379–396. doi:10.1615/IntJMultCompEng.v8.i4.30.
- Vancouver
- 1.Ghysels P, Samaey G, Van Liedekerke P, Tijskens E, Ramon H, Roose D. Multiscale modeling of viscoelastic plant tissue. INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING. 2010;8(4):379–96.
- IEEE
- [1]P. Ghysels, G. Samaey, P. Van Liedekerke, E. Tijskens, H. Ramon, and D. Roose, “Multiscale modeling of viscoelastic plant tissue,” INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING, vol. 8, no. 4, pp. 379–396, 2010.
@article{01HPPXSXVACK8GZTR9VC7SR8XK,
abstract = {{We present a multiscale method for the simulation of large viscoelastic deformations and show its applicability to biological tissue such as plant tissue. At the microscopic level we use a particle method to model the geometrical structure and basic properties of individual cells. The cell fluid, modeled as a viscoelastic fluid by means of smoothed particle hydrodynamics (SPH), is enclosed in an elastic cell wall, modeled by discrete elements. The macroscopic equation and stress tensor are derived from the SPH model by means of the generalized mathematical homogenization (GMH) technique. The macroscopic domain is discretized using standard finite elements, where the stress tensor is evaluated from microscopic simulations in small sub-domains, called representative volume elements (RVEs). Our emphasis is on reconstructing the microscopic state inside the RVE for a given macroscopic deformation and velocity gradient. We propose a scheme to initialize the RV E consistently, not only with the macroscopic variables, but also with the microscopic dynamics.}},
author = {{Ghysels, P. and Samaey, G. and Van Liedekerke, Paul and Tijskens, E. and Ramon, H. and Roose, D.}},
issn = {{1543-1649}},
journal = {{INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING}},
keywords = {{SPH,micromechanics,biological tissue deformation,computational homogenization,RVE}},
language = {{eng}},
number = {{4}},
pages = {{379--396}},
title = {{Multiscale modeling of viscoelastic plant tissue}},
url = {{http://doi.org/10.1615/IntJMultCompEng.v8.i4.30}},
volume = {{8}},
year = {{2010}},
}
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