Exponential Polyconvex Anisotropic Strain-Energy Function
Jesse
Ashton
Auckland Bioengineering Institute, The University of Auckland
Model Status
This is a CellML version of the Polyconvex constitutive material law for Orthotropic, Incompressible materials, defining the relation between the nine independent strain components and the stress components. It is assumed that the strain components will be controlled externally by the application using this CellML model.
Please note that this CellML model has been implemented in such a manner that it could be used for peforming finite element model simulations on the CMISS software program developed at the Auckland Bioengineering Institute, The University of Auckland. For additional information on implementation of cellML files in CMISS, please refer to the following Link.
Model Structure
ABSTRACT: Polyconvexity of a strain-energy function is a very important mathematical condition, especially in the context of a boundary-value problem. In the present paper, we propose an exponential polyconvex anisotropic strain-energy function. It is given by a series with an arbitrary number of terms and associated material constants. Each term of this series a priori satisfies the condition of the energy- and stress-free natural state so that no additional restrictions have to be imposed. Due to the exponential form, the proposed hyperelastic model is suitable for soft biological tissues. Thus, a good agreement with experimental data on different types of tissues is achieved.
The original paper reference is cited below:
A Polyconvex anisotropic strain-energy function for soft collagenous tissues, M. Itskov, A.E. Ehret and D. Mavrilas, 2006.
Biomechanics and Modeling in Mechanobiology, 5(1), 17-26. PubMed ID: 16362195
University of Auckland
A
Ehret
E
2006-03-01 00:00
2007-01-24
Vignesh Kumar
jash042@ec.auckland.ac.nz
In this simple model we only have one component, which holds the
six equations.
We'll use this component as the "interface" to the model, all
other components are hidden via encapsulation in this component.
A Polyconvex Anisotropic Strain-Energy Function for Soft Collagenous Tissues
5(1)
17
26
16362195
Jesse
Ashton
This CellML file deals with the introduction of an exponential polyconvex anisotropic strain energy function, for use with modeling applications in regards to soft biological tissues.
D
Mavrilas
The University of Auckland
Auckland Bioengineering Institute
keyword
polyconvex
soft tissue
constitutive material law
mechanical constitutive laws
anisotropic strain-energy
This is a CellML version of the Polyconvex constitutive material law for Orthotropic, Incompressible materials, defining the relation between the nine independent strain components and the stress components. It is assumed that the strain components will be controlled externally by the application using this CellML model.
Auckland Bioengineering Institute
The University of Auckland
Biomechanics and modelling in mechanobiology
Jesse
Ashton
2007-01-24T00:00:00+13:00
M
Itskov
Vignesh Kumar