Title
Multiscale modeling of viscoelastic plant tissue Multiscale modeling of viscoelastic plant tissue
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Subject
Mathematics
Source (journal)
International journal for multiscale computational engineering
Volume/pages
8(2010) :4 , p. 379-396
ISSN
1543-1649
ISI
000283889000003
Carrier
E
Target language
English (eng)
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.
E-info
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