Toward a biomechanical tool to evaluate rupture potential of abdominal aortic aneurysm: Identification of a finite strain constitutive model and evaluation of its applicability

Journal of Biomechanics

Volumn 33, Issue 4, 2000, Pages 475-482

  Raghavan, M L ^a,b   Vorp, David A ^a,b  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b University of Pittsburgh   (United States)

Author keywords

Abdominal aortic aneurysm; Constitutive modeling; Finite element analysis; Regression analysis

Indexed keywords

BLOOD VESSELS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; REGRESSION ANALYSIS; STRAIN; STRESS ANALYSIS; STRESS CONCENTRATION;

ABDOMINAL AORTIC ANEURYSM; FINITE STRAIN CONSTITUTIVE MODEL;

BIOMECHANICS;

ABDOMINAL AORTA ANEURYSM; ANEURYSM RUPTURE; AORTA WALL; ARTICLE; BIOMECHANICS; FINITE ELEMENT ANALYSIS; MODEL; NONLINEAR SYSTEM; PRIORITY JOURNAL; REGRESSION ANALYSIS; SHEAR STRESS; SIMULATION;

AORTA, ABDOMINAL; AORTIC RUPTURE; BIOMECHANICS; FINITE ELEMENT ANALYSIS; HUMANS; MODELS, CARDIOVASCULAR; REGRESSION ANALYSIS;

EID: 0033960844     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9290(99)00201-8     Document Type: Article

References (27)

1. Carew T.E., Vaishnav R.N., Patel D.J. Compressibility of the arterial wall. Circulation Research. 23:1968;61-68.
2. Chuong C.J., Fung Y.C. Compressibility and constitutive equation of arterial wall in radial compression experiments. Journal of Biomechanics. 17:1984;35-40.
3. Cronenwett J.L., Sargent S.K., Wall H., Hawkes M.L., Freeman D.H., Dain B.J., Cure J.K., Walsh D.B., Zwolak R.M., McDaniel M.D., Schneider J.R. Variables that affect the expansion rate and outcome of small abdominal aortic aneurysms. Journal of Vascular Surgery. 11:1990;260-268.
4. Darling R.C., Carlene R., Messina R.N., Brewster D.C., Ottinger L.W. Autopsy study of unoperated abdominal aortic aneurysms. the case for early resection Circulation. 56:1977;161-164.
5. Delfino A., Stergiopulos N., Moore J.E., Meister J.-J. Residual strain effects on the stress field in a thick walled FE model of the human carotid bifurcation. Journal of Biomechanics. 30:1997;777-786.
6. Dobrin P.B. Pathophysiology and pathogenesis of aortic aneurysms. Current concepts. Surgical Clinics of North America. 69:1989;687-703.
7. Elger D.F., Blackketter D.M., Budwig R.S., Johansen K.H. The influence of shape on the stresses in model abdominal aortic aneurysms. Journal of Biomechanical Engineering. 118:1996;326-332.
8. Fung Y.C. Elasticity of soft tissues in simple elongation. American Journal of Physiology. 213:1967;1532-1544.
9. He C.M., Roach M.R. The composition and mechanical properties of abdominal aortic aneurysms. Journal of Vascular Surgery. 20:1994;6-13.
10. Humphrey J.D., Yin F.C. On constitutive relations and finite deformations of passive cardiac tissue. I. A pseudostrain-energy function Journal of Biomechanical Engineering. 109:1987;298-304.
11. Inzoli F., Boschetti F., Zappa M., Longo T., Fumero R. Biomechanical factors in abdominal aortic aneurysm rupture. European Journal of Vascular Surgery. 7:1993;667-674.
12. Katz D.A., Littenberg B., Cronenwett J.L. Management of small abdominal aortic aneurysms. early surgery to watchful waiting JAMA. 268:1992;2678-2686.
13. Mower W.R., Baraff L.J., Sneyd J. Stress distributions in vascular aneurysms. factors affecting risk of aneurysm rupture Journal of Surgical Research. 55:1993;155-161.
14. Patel D.J. Nonlinear anisotropic elastic properties of the canine aorta. Biophysical Journal. 12:1972;1008-1027.
15. Patel D.J., Fry D.L. The elastic symmetry of arterial segments in dogs. Circulation Research. 24:1969;1-8.
16. Raghavan M.L., Webster M.W., Vorp D.A. Ex-vivo biomechanical behavior of abdominal aortic aneurysm. assessment using a new mathematical model Annals of Biomedical Engineering. 24:1996;573-582.
17. Rivlin R.S., Saunders D.W. Large elastic deformations of isotropic materials, VII. Experiments on the deformation of rubber. Philosophical Transactions of the Royal Society A. 243:1951;251-288.
18. Sacks M.S., Vorp D.A., Raghavan M.L., Federle M.P., Webster M.W. In vivo 3D surface geometry of abdominal aortic aneurysm. Annals of Biomedical Engineering. 27:1999;469-479.
19. Stringfellow M.M., Lawrence P.F., Stringfellow R.G. The influence of aorta-aneurysm geometry upon stress in the aneurysm wall. Journal of Surgical Research. 42:1987;425-433.
20. Sumner D.S., Hokanson D.E., Strandness D.E. Stress-strain characteristics and collagen-elastin content of abdominal aortic aneurysms. Surgery Gynecology Obstetrics. 130:1970;459-466.
21. Truesdell C., Noll W. The Nonlinear Field Theories of Mechanics. 1992;Springer, New York.
22. Vito R.P., Hickey J. The mechanical properties of soft tissues - II. the elastic response of arterial segments Journal of Biomechanics. 13:1980;951-957.
23. Vorp D.A., Raghavan M.L., Muluk S.C., Makaroun M.S., Steed D.L., Shapiro R., Webster M.W. Wall strength and stiffness of aneurysmal and nonaneurysmal abdominal aorta. Annals of the New York Academy of Sciences. 800:1996;274-276.
24. Vorp D.A., Raghavan M.L., Webster M.W. Stress distribution in abdominal aortic aneurysm. influence of diameter and asymmetry Journal of Vascular Surgery. 27:1998;632-639.
25. Vorp D.A., Rajagopal K.R., Smolinski P.J., Borovetz H.S. Identification of elastic properties of homogeneous orthotropic vascular segments in distention. Journal of Biomechanics. 28:1995;501-512.
26. Yamada H., Tanaka E., Murakami S. Mechanical evaluation of growth and rupture of aneurysm in abdominal aorta. JSME International Journal, Series. A 37:1994;181-187.
27. Zhang J.P., Rajagopal K.R. Some homogeneous motions and deformations within the context of a non-linear elastic solid. International Journal of Engineering Science. 30:1992;919-938.