Two-scale hyperelastic model of a material with prestress at cellular level
Date issued
2008
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
University of West Bohemia
Abstract
We propose the two-scale hyperelastic model of a material defined at micro-scale. The microstructure, motivated
by the arrangement of soft tissues at the cellular level, is formed by an incompressible inclusion and linear elastic
elements. The prestress of such structure is maintained by the assumption of constant volume of the inclusion.
In the continuum limit, the prestressed microstructure is considered as a single material particle governed by the
macroscopic deformation gradient. Thus the strain-energy is obtained as a function of both macro-deformation and
micro-prestress. Although we have no analytical formula, an approximation is found using assumptions that hold
for soft tissues. It shows clearly the ability of the model to control the overall mechanical behaviour by setting the
prestress at micro-scale (the prestress-induced stiffening).
Description
Subject(s)
elasticita, model, výpočetní metody ve fyzice
Citation
Applied and Computational Mechanics. 2008, vol. 2, no. 1, p. 167-176.