Title
Multi-scale simulation of plant tissue deformation using a model for individual cell mechanics Multi-scale simulation of plant tissue deformation using a model for individual cell mechanics
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Subject
Physics
Biology
Computer. Automation
Source (journal)
Physical biology
Volume/pages
6(2009) :1 , p. 1-14
ISSN
1478-3967
1478-3975
Article Reference
016009
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Abstract
We present a micromacro method for the simulation of large elastic deformations of plant tissue. At the microscopic level, we use a massspring model to describe the geometrical structure and basic properties of individual plant cells. The macroscopic domain is discretized using standard finite elements, in which the macroscopic material properties (the stressstrain relation) are not given in analytical form, but are computed using the microscopic model in small subdomains, called representative volume elements (RVEs), centered around the macroscopic quadrature points. The boundary conditions for these RVEs are derived from the macroscopic deformation gradient. The computation of the macroscopic stress tensor is based on the definition of virial stress, as defined in molecular dynamics. The anisotropic Eulerian elasticity tensor is estimated using a forward finite difference approximation for the Truesdell rate of the Cauchy stress tensor. We investigate the influence of the size of the RVE and the boundary conditions. This multi-scale method converges to the solution of the full microscopic simulation, for both globally and adaptively refined finite element meshes, and achieves a significant speedup compared to the full microscopic simulation.
E-info
https://repository.uantwerpen.be/docman/iruaauth/83cd5f/5b3d4c1c8e7.pdf
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