Premium
Homogenization of cellular structures for soft tissue modelling
Author(s) -
Rohan Eduard
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310316
Subject(s) - homogenization (climate) , hyperelastic material , compressibility , mechanics , materials science , porous medium , microscopic scale , permeability (electromagnetism) , viscous liquid , membrane , porosity , composite material , finite element method , physics , chemistry , thermodynamics , biodiversity , ecology , biochemistry , optics , biology
The aim of the paper is to show how the method of homogenization can be applied in modelling of soft tissue undergoing large deformation. Simplified microstructures are considered, which consist of hyperelastic porous matrix and periodic array of fluid‐filled cells. At the microscopic level diffusion processes are described by the Darcy law, permeability of the cellular membrane is introduced. Although at the macroscopic scale the tissue is incompressible, the flow inside microscopic volumes induces viscous relaxation effects. The homogenized problem is formulated.