Modelling of damage in finite torsion, extension and inflation of an arterial tissue

Abstract

The non-homogeneous deformation of arterial tissue with combined effect of torsion, extension and inflation is discussed. The response function for an arterial tissue depends on the limiting extensibility governed by the constituting fibres and the present study considers the same by Gent type limited elastic material model. The damage in the material point is discussed under isotropic damage assumption. The residual stress and precondition induced anisotropy has been neglected. The material response due to micro structural damage is characterized by an exponential function which depends on current measure of deformation and its maximum previous value in the deformation history. Neglecting the growth induced residual stress; the work is restricted to the analytical formulation with typical numerical examples of arterial tissue. All results are illustrated graphically and for a special class of damaged material, the universal relations are also reported. © 2010 International Federation for Medical and Biological Engineering.