Title: Multiscale modeling of viscoelastic plant tissue
Authors: Ghysels, Pieter
Samaey, Giovanni
Van Liedekerke, Paul
Tijskens, Engelbert
Ramon, Herman
Roose, Dirk
Issue Date: Nov-2009
Publisher: Department of Computer Science, K.U.Leuven
Series Title: TW Reports vol:TW550
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 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 given macroscopic deformation and velocity gradient. We propose a scheme to initialize the RVE consistently not only with the macroscopic variables, but also with the microscopic dynamics.
Publication status: published
KU Leuven publication type: IR
Appears in Collections:Numerical Analysis and Applied Mathematics Section
Division of Mechatronics, Biostatistics and Sensors (MeBioS)

Files in This Item:
File Description Status SizeFormat
TW550.pdfDocument Published 1725KbAdobe PDFView/Open


All items in Lirias are protected by copyright, with all rights reserved.