Material parameter identification of arterial wall layers from homogenised stress–strain data

Multilayer structure of the artery can have significant effects on the resulting mechanical behaviour of the artery wall. Separation of the artery into individual layers is sometimes performed to identify the layer-specific parameters of constitutive model proposed by Holzapfel, Gasser and Ogden (HGO model). Inspired by this single-layer model, a double-layer model was formulated and used for identification of material parameters from homogenised stress–strain data (of non-separated artery wall). The paper demonstrates that the layer-specific parameters of the double-layer constitutive model can be identified without the need of artery separation. The resulting double-layer model can credibly describe the homogenised stress–strain behaviour of the real artery wall including large-strain stiffening effects attributed to multilayer nature of the artery.

[1]  H. Demiray A note on the elasticity of soft biological tissues. , 1972, Journal of biomechanics.

[2]  J D Humphrey,et al.  A new constitutive formulation for characterizing the mechanical behavior of soft tissues. , 1987, Biophysical journal.

[3]  Wei Sun,et al.  Finite element implementation of a generalized Fung-elastic constitutive model for planar soft tissues , 2005, Biomechanics and modeling in mechanobiology.

[4]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[5]  R P Vito,et al.  Two-dimensional stress-strain relationship for canine pericardium. , 1990, Journal of biomechanical engineering.

[6]  P. Canham,et al.  Measurements from light and polarised light microscopy of human coronary arteries fixed at distending pressure. , 1989, Cardiovascular research.

[7]  Michael S. Sacks,et al.  Orthotropic Mechanical Properties of Chemically Treated Bovine Pericardium , 1998, Annals of Biomedical Engineering.

[8]  P. Canham,et al.  Orientation of collagen in the tunica adventitia of the human cerebral artery measured with polarized light and the universal stage. , 1981, Journal of ultrastructure research.

[9]  R. Ogden,et al.  Hyperelastic modelling of arterial layers with distributed collagen fibre orientations , 2006, Journal of The Royal Society Interface.

[10]  P. Canham,et al.  Three-dimensional collagen organization of human brain arteries at different transmural pressures. , 1995, Journal of vascular research.

[11]  Kozaburo Hayashi,et al.  Theoretical Study of the Effects of Vascular Smooth Muscle Contraction on Strain and Stress Distributions in Arteries , 1999, Annals of Biomedical Engineering.

[12]  D. Vorp,et al.  The effects of aneurysm on the biaxial mechanical behavior of human abdominal aorta. , 2006, Journal of biomechanics.

[13]  Gerhard Sommer,et al.  Determination of layer-specific mechanical properties of human coronary arteries with nonatherosclerotic intimal thickening and related constitutive modeling. , 2005, American journal of physiology. Heart and circulatory physiology.

[14]  N. Stergiopulos,et al.  Residual strain effects on the stress field in a thick wall finite element model of the human carotid bifurcation. , 1996, Journal of biomechanics.

[15]  R. Ogden,et al.  A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models , 2000 .

[16]  Nikos Stergiopulos,et al.  A constitutive formulation of arterial mechanics including vascular smooth muscle tone. , 2004, American journal of physiology. Heart and circulatory physiology.

[17]  Y C Fung,et al.  Three-dimensional stress distribution in arteries. , 1983, Journal of biomechanical engineering.