Identification and determination of material properties for porohyperelastic analysis of large arteries

Journal of Biomechanical Engineering

Volumn 120, Issue 2, 1998, Pages 188-194

  Simon, B R ^a   Kaufmann, M V ^a   McAfee, M A ^a   Baldwin, A L ^b   Wilson, L M ^b  

^a University of Arizona   (United States)

^b UNIVERSITY OF ARIZONA COLLEGE OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BLOOD VESSELS; COMPUTER SOFTWARE; ELASTICITY; FINITE ELEMENT METHOD; HYDRAULICS; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; PRESSURIZATION; PROBABILITY DENSITY FUNCTION;

ISOTROPY; LAGRANGIAN MATERIALS PROPERTIES; POROHYPERELASTICITY; SOFTWARE PACKAGE ABAQUS;

BIOMECHANICS;

ANIMAL TISSUE; AORTA; ARTERY; ARTICLE; INTIMA; MODEL; NONHUMAN; PERMEABILITY; RABBIT; THEORY; TUNICA MEDIA; VISCOELASTICITY;

EID: 0032054747     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.2798301     Document Type: Article

References (15)

1. Baldwin, A. B., Wilson, L. M., and Simon, B. R., 1992, “Effect of Pressure on Aortic Hydraulic Conductance,” Arteriosclerosis and Thrombosis, Vol. 12, pp. 163-171.
2. Biot, M. A., 1972, “Theory of Finite Deformations of Porous Solids,” Indian U. Math. J., Vol. 21, pp. 597-620.
3. Chuong, C. J., and Fung, Y. C., 1986, “Residual Stress in Arteries,” in: Frontiers in Biomechanics, G. W, Schmid-Schonbein, S. L.-Y. Woo, and B. W. Zwei-fach, eds., Springer-Verlag, New York, pp. 117-129.
4. Fung, Y.C., 1993, Biomechanics; Mechanical Properties of Living Tissues, 2nd ed., Springer-Verlag, New York, pp. 321-384.
5. Green, A. E., and Adkins, X. X., 1960, Large Elastic Deformations and Nonlinear Continuum Mechanics, Oxford Press, London.
6. Kenyon, D. E., 1979, “A Mathematical Model of Water Flux Through Aortic Tissue,” Bull Math. Biol, Vol. 41, pp. 79-90.
7. McAfee, M. A., 1994, “Porohyperelastic Analysis for Large Arteries and Determination of Material Properties,” M. S. Thesis, The University of Arizona.
8. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1992, Numerical Recipes; The Art of Scientific Computing, Cambridge University Press, New York.
9. Simon, B. R., and Gaballa, M. A., 1986, “Poroelastic Finite Element Models for Large Arteries,” Advances in Bioengineering, ASME BED-Vol. 2, pp. 140-141.
10. Simon, B. R., and Gaballa, M. A., 1988, “Finite Strain, Poroelastic Finite Element Models for Large Arterial Cross Sections,” in: Computational Methods in Bioengineering, R. L. Spilker and B. R. Simon, eds., ASME BED-Vol. 9. pp. 325-334.
11. Simon, B.R., 1992, “Multiphase Poroelastic Finite Element Models for Soft Tissue Structures,” Applied Mechanics Reviews, Vol. 45, pp. 191-218.
12. Simon, B. R., Kaufmann, M. V., McAfee, M. A., and Baldwin, A. B., 1993, “Finite Element Models for Arterial Wall Mechanics,” ASME Journal of Biomechanical Engineering, Vol. 115, pp. 489-496.
13. Simon, B.R., Kaufmann, M. V., McAfee, M. A., and Baldwin, A. B., 1995, “Porohyperelastic Theory and Finite Element Models for Soft Tissues With Application to Arterial Mechanics,” Special Volume, Mechanics of Poroelastic Media, A. P. S. Salvaduri, ed., Kluwer Academic Publ., Dordrecht, The Netherlands (to appear).
14. Simon, B. R., Kaufmann, M. V., McAfee, M.A., and Baldwin, A. B., 1998, “Porohyperelastic Finite Element Analysis of Large Arteries Using ABAQUS,” ASME Journal of Biomechanical Engineering, Vol. 120, this issue, pp. 296-298.
15. Yuan, Y., and Simon, B. R., 1992, “Constraint Relations for Orthotropic Porohyperelastic Constitutive Laws and Finite Element Formulations for Soft Tissues,” Advances in Bioengineering, ASME BED-Vol. 22, pp. 203-206.