Publication
Title
Multi-scale simulation of plant tissue deformation using a model for individual cell mechanics
Author
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.
Language
English
Source (journal)
Physical biology
Publication
2009
ISSN
1478-3967 [print]
1478-3975 [online]
Volume/pages
6:1(2009), p. 1-14
Article Reference
016009
ISI
000266148700016
Medium
E-only publicatie
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Publication type
Subject
External links
Web of Science
Record
Identification
Creation 25.02.2014
Last edited 05.07.2017