A hyperelastic constitutive law for aortic valve tissue

Journal of Biomechanical Engineering

Volumn 131, Issue 8, 2009, Pages

  May Newman, Karen ^c   Lam, Charles ^a   Yin, Frank C P ^b  

^a UTC Aerospace Systems   (United States)

^b WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC BEHAVIORS; AORTIC VALVE LEAFLETS; AORTIC VALVES; BIAXIAL TESTING; COMPUTATIONAL MODELING; CONSTITUTIVE LAW; CONSTITUTIVE MODELING; HYPER ELASTIC; MATERIAL BEHAVIOR; STRAIN ENERGY FUNCTIONS; STRAIN INVARIANTS; STRESS-STRAIN BEHAVIORS;

BLOOD VESSELS; STRAIN ENERGY;

VALVES (MECHANICAL);

ANIMAL TISSUE; ANISOTROPY; AORTA VALVE; ARTICLE; CONSTITUTIVE MODELING; MODEL; NONHUMAN; SWINE; BIOLOGICAL MODEL; COMPUTER SIMULATION; HUMAN; MECHANICAL STRESS; PHYSIOLOGY; TENSILE STRENGTH; YOUNG MODULUS;

SUS;

AORTIC VALVE; COMPUTER SIMULATION; ELASTIC MODULUS; HUMANS; MODELS, CARDIOVASCULAR; STRESS, MECHANICAL; TENSILE STRENGTH;

EID: 70349767175     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.3127261     Document Type: Article

References (24)

1. Grande, K. J., Cochran, R. P., Reinhall, P. G., and Kunzelman, K. S., 1998, "Stress Variations in the Human Aortic Root and Valve: The Role of Anatomic Asymmetry," Ann. Biomed. Eng., 26, pp. 534-545.
2. Thubrikar, M., 1989, The Aortic Valve, CRC, Boca Raton, FL.
3. Billiar, K. L., and Sacks, M. S., 2000, "Biaxial Mechanical Properties of the Native and Glutaraldehyde-Treated Aortic Valve Cusp: Part II - A Structural Constitutive Model," ASME J. Biomech. Eng., 122, pp. 327-335.
4. Beck, A., Thubrikar, M., and Robicsek, F., 2001, "Stress Analysis of the Aortic Valve With and Without the Sinuses of Valsalva," J. Heart Valve Dis., 10, pp. 1-11. (Pubitemid 32104457)
5. Boerboom, R. A., Driessen, N. J. B., Bouten, C. V. C., Huyghe, J. M., and Baaijens, F. P. T., 2003, "Finite Element Model of Mechanically Induced Collagen Fiber Synthesis and Degradation in the Aortic Valve," Ann. Biomed. Eng., 31, pp. 1040-1053.
6. Fung, Y. C., 1993, Biomechanics: Mechanical Properties of Living Tissues, Springer-Verlag, New York.
7. Ranga, A., Mongrain, R., Mendes Galaz, R., Biadillah, Y., and Cartier, R., 2004, "Large-Displacement 3D Structural Analysis of an Aortic Valve Model With Nonlinear Material Properties," J. Med. Eng. Technol., 28, pp. 95-103.
8. Stella, J. A., Liao, J., and Sacks, M. S., 2007, "Time-Dependent Biaxial Mechanical Behavior of the Aortic Valve Leaflet," J. Biomech., 40, pp. 3169-3177.
9. Chen, L., Yin, F. C., and May-Newman, K., 2004, "The Structure and Mechanical Properties of the Mitral Valve Leaflet-Strut Chordae Transition Zone," ASME J. Biomech. Eng., 126, pp. 244-251. (Pubitemid 38621138)
10. Humphrey, J. D., Strumpf, R. K., and Yin, F. C. P., 1990, "Determination of a Constitutive Relation for Passive Myocardium: I. A New Functional Form," ASME J. Biomech. Eng., 112, pp. 333-339.
11. May-Newman, K., and Yin, F. C., 1998, "A Constitutive Law for Mitral Valve Tissue," ASME J. Biomech. Eng., 120, pp. 38-47. (Pubitemid 28110437)
12. Billiar, K. L., and Sacks, M. S., 2000, "Biaxial Mechanical Properties of the Natural and Glutaraldehyde-Treated Aortic Valve Cusp-Part I: Experimental Results," ASME J. Biomech. Eng., 122, pp. 23-30.
13. Grashow, J. S., Yoganathan, A. P., and Sacks, M. S., 2006, "Biaxial Stress-Stretch Behavior of the Mitral Valve Anterior Leaflet at Physiological Strain Rates," Ann. Biomed. Eng., 34, pp. 315-325.
14. Humphrey, J. D., 2002, Cardiovascular Solid Mechanics: Cells, Tissues and Organs, Springer-Verlag, New York.
15. Spencer, A. J. M., 1972, Deformations of Fibre-Reinforced Materials, Clarendon, Oxford.
16. May-Newman, K., and Yin, F. C., 1995, "Biaxial Mechanical Behavior of Excised Porcine Mitral Valve Leaflets," Am. J. Physiol., 269, pp. H1319-H1327.
17. Clark, R. E., 1973, "Stress-Strain Characteristics of Fresh and Frozen Human Aortic and Mitral Leaflets and Chordae Tendineae. Implications for Clinical Use," J. Thorac. Cardiovasc. Surg., 66, pp. 202-208.
18. Mayne, A. S., Christie, G. W., Smaill, B. H., Hunter, P. J., and Barratt-Boyes, B. G., 1989, "An Assessment of the Mechanical Properties of Leaflets From Four Second-Generation Porcine Bioprostheses With Biaxial Testing Techniques," J. Thorac. Cardiovasc. Surg., 98, pp. 170-180.
19. Kunzelman, K. S., and Cochran, R. P., 1992, "Stress/Strain Characteristics of Porcine Mitral Valve Tissue: Parallel Versus Perpendicular Collagen Orientation," J. Card. Surg., 7, pp. 71-78.
20. Weinberg, E. J., and Kaazempur-Mofrad, M. R., 2005, "On the Constitutive Modeling for Heart Valve Leaflet Mechanics," Cardiovasc. Eng., 5, pp. 37-43.
21. Weinberg, E. J., and Kaazempur-Mofrad, M. R., 2006, "A Large-Strain Finite Element Formulation for Biological Tissues With Application to Mitral Valve Leaflet Tissue Mechanics," J. Biomech., 39, pp. 1557-1561.
22. Einstein, D. R., Reinhall, P. G., Nicosia, M. A., Cochran, R. P., and Kunzelman, K. S., 2003, "Dynamic Finite Element Implementation of Nonlinear, Anisotropic Hyperelastic Biological Membranes," Comput. Methods Biomech. Biomed. Eng., 6, pp. 33-44.
23. Prot, V., Haaverstad, R., and Skallerud, B., 2009, "Finite Element Analysis of the Mitral Apparatus: Annulus Shape Effect and Chordal Force Distribution," Biomech. Model. Mechanobiol., 8(1), pp. 43-55.
24. Einstein, D. R., Kunzelman, K. S., Reinhall, P. G., Nicosia, M. A., and Cochran, R. P., 2004, "Hemodynamic Determinants of the Mitral Valve Closure Sound: A Finite Element Study," Med. Biol. Eng. Comput., 42, pp. 832-846.