Numerical analysis of the wall stress in abdominal aortic aneurysm: Influence of the material model near-incompressibility

Journal of Mechanics in Medicine and Biology

Volumn 12, Issue 1, 2012, Pages

  Toungara, Mamadou ^a   Chagnon, Gregory ^a   Geindreau, Christian ^a  

^a UNIV GRENOBLE ALPES   (France)

Author keywords

Abdominal aortic aneurysm; anisotropic models; near incompressibility; numerical analysis

Indexed keywords

ABDOMINAL AORTIC ANEURYSMS; ANALYTICAL ANALYSIS; ANISOTROPIC MODELS; ARTERIAL WALL; FINITE ELEMENT SIMULATIONS; FINITE ELEMENT STRESS ANALYSIS; GEOMETRICAL MODELS; HYPER ELASTIC; MATERIAL MODELS; MAXIMUM STRESS; MECHANICAL MODEL; MECHANICAL RESPONSE; MIXED FORMULATIONS; NEAR-INCOMPRESSIBILITY; NEARLY INCOMPRESSIBLE; NONLINEAR FEATURES; STRONGLY NONLINEAR; TENSILE TESTS; VOLUME VARIATION; VOLUMETRIC ENERGY; WALL STRESS;

ANISOTROPY; BLOOD VESSELS; STRESS ANALYSIS; TENSILE TESTING;

NUMERICAL ANALYSIS;

EID: 84859315916     PISSN: 02195194     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219519412004442     Document Type: Article

References (20)

1. Humphrey JD, Taylor CA, Intracranial and abdominal aortic aneurysms: Similarities, differences, and need for a new class of computational models, Annu Rev Biomed Eng 10:221-46, 2008.
2. Carew TE, Vaishnav RN, Patel DJ, Compressibility of the arterial wall, Circ Res 23:61-68, 1968.
3. He CM, Roach MR, The composition and mechanical properties of abdominal aortic aneurysms, J Vasc Surg 20:6-13, 1994. (Pubitemid 24238052)
4. Raghavan ML, Vorp DA, Toward a biomechanical tool to evaluate rupture potential of abdominal aortic aneurysm: Identification of a finite strain constitutive model and evaluation of its applicability, J Biomech 33:475-482, 2000. (Pubitemid 30089710)
5. Thubrikar MJ, Labrosse M, Robicsek F, Al-Soudi J, Fowler B, Mechanical properties of abdominal aortic aneurysm wall, J Med Eng Tech 25:133-142, 2001. (Pubitemid 32937933)
6. Xiong J, Wang SM, Zhou W, Guo Wu J, Measurement and analysis of ultimate mechanical properties, stress-strain curve fit, and elastic modulus formula of human abdominal aortic aneurysm and nonaneurysmal abdominal aorta, J Vasc Surg 48:189-195, 2008.
7. Vande Geest JP, Sacks MS, Vorp DA, The effects of aneurysm on the biaxial mechanical behavior of human abdominal aorta, J Biomech 39:1324-1334, 2006.
8. Rodriguez J, Ruiz C, Doblaré M, Holzapfel GA, Mechanical stresses in abdominal aortic aneurysms: Influence of diameter, asymmetry, and material anisotropy, J Biomech Eng 130:1-10, 2008.
9. Basciano CA, Kleinstreuer C, Invariant-based anisotropic constitutive models of the healthy and aneurysmal abdominal aortic wall, J Biomech Eng 131:1-11, 2009.
10. Doll S, Schweizerhof K, On the development of volumetric strain energy functions, J Appl Mech 67:17-21, 2000.
11. Holzapfel GA, Gasser TC, Ogden RW, A new constitutive framework for arterial wall mechanics and a comparative study of material models, J Elasticity 61:1-48, 2000. (Pubitemid 32732278)
12. Simo JC, A framework for finite strain elastoplasticity based on maximum plasticdissipation and the multiplicative decomposition: Part I. Continuum formulation, Comput Methods Appl Mech Eng 66:199-219, 1988. (Pubitemid 18562217)
13. Itskov M, Aksel N, Elastic constants and their admissible values for incompressible and slightly compressible anisotropic materials, Acta Mech 157:81-96, 2002.
14. Scotti CM, Jimenez J, Muluk SC, Finol, EA, Wall stress and flow dynamics in abdominal aortic aneurysms: Finite element analysis vs. fluid-structure interaction, Comput Met Biomech Biomed Eng 11:301-22, 2008.
15. Xenos M, Rambhia SH, Alemu Y, Einav S, Labropoulos N, Tassiopoulos A, Ricotta JJ, Bluestein D, Patient-based abdominal aortic aneurysm rupture risk prediction with fluid structure interaction modeling, Ann Biomed Eng 38:3323-3337, 2010.
16. Vande Geest JP, Schmidt DE, Sacks MS, Vorp DA, The effects of anisotropy on the stress analyses of patient-specific abdominal aortic aneurysms, Ann Biomed Eng 36:921-32, 2008.
17. Rissland P, Alemu Y, Einav S, Ricotta J, Bluestein D, Abdominal aortic aneurysm risk of rupture: Patient-specific fsi simulations using anisotropic model, J Biomech Eng 131:1-10, 2009.
18. Raghavan ML, Webster MW, Vorp DA, Ex vivo biomechanical behavior of abdominal aortic aneurysm: Assessment using a new mathematical model, Ann Biomed Eng 24:573-82, 1996. (Pubitemid 26304921)
19. Peyraut F, Renaud C, Labeb N, Feng ZQ, Modélisation des tissus biologiques en hyperélasticité anisotrope - étude théorique et approche éléments finis, C R Méc 337:101-106, 2009.
20. Fillinger MF, Marra SP, Raghavan ML, Kennedy FE, Prediction of rupture risk in abdominal aortic aneurysm during observation: Wall stress versus diameter, J Vasc Surg 37:724-732, 2003. (Pubitemid 36373356)