A robust anisotropic hyperelastic formulation for the modelling of soft tissue

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 39, Issue , 2014, Pages 48-60

  Nolan, D R ^a   Gower, A L ^a   Destrade, M ^a   Ogden, R W ^b   McGarry, J P ^a  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

Anisotropic; Artery; Finite element; Hyperelastic; Incompressibility; Stent

Indexed keywords

DEFORMATION; ELASTICITY; FIBER REINFORCED MATERIALS; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; STENTS; TISSUE;

ANISOTROPIC; ARTERY; HYPER ELASTIC; INCOMPRESSIBILITY; STENT;

ANISOTROPY;

ANISOTROPY; ARTERIAL PRESSURE; ARTERY COMPLIANCE; ARTICLE; BEHAVIOR; BIOMECHANICS; CONTROLLED STUDY; DENSITY; DILATATION; ENERGY; FINITE ELEMENT ANALYSIS; HYDROSTATIC PRESSURE; KINEMATICS; PRIORITY JOURNAL; SHEAR STRESS; SIMULATION; SOFT TISSUE; STENT; STRETCHING; ARTERY; BIOLOGICAL MODEL; CHEMISTRY; COMPRESSIVE STRENGTH; COMPUTER SIMULATION; ELASTICITY; HUMAN; MECHANICAL STRESS; PATHOLOGY; POISSON DISTRIBUTION; SHEAR STRENGTH;

COLLAGEN;

ANISOTROPY; ARTERIES; BIOMECHANICAL PHENOMENA; COLLAGEN; COMPRESSIVE STRENGTH; COMPUTER SIMULATION; ELASTICITY; FINITE ELEMENT ANALYSIS; HUMANS; MODELS, BIOLOGICAL; POISSON DISTRIBUTION; SHEAR STRENGTH; STENTS; STRESS, MECHANICAL;

EID: 84905503405     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2014.06.016     Document Type: Article

References (29)

1. Abaqus/Standard users manual, Ver. 6.10, 2010. Dassault Systèmes Simulia Corporation, Pawtucket.
2. ADINA theory and modeling guide, 2005. ADINA R&D, Inc., Watertown.
3. Cardoso L., Kelly-Arnold A., Maldonado N., Laudier D., Weinbaum S. Effect of tissue properties, shape and orientation of microcalcifications on vulnerable cap stability using different hyperelastic constitutive models. J. Biomech. 2014, 47:870-877.
4. Conway C., Sharif F., McGarry J.P., McHugh P. A computational test-bed to assess coronary stent implantation mechanics using a population-specific approach. Cardiovasc. Eng. Technol. 2012, 3:374-387.
5. Destrade M., Gilchrist M.D., Motherway J., Murphy J.G. Slight compressibility and sensitivity to changes in Poisson[U+05F3]s ratio. Int. J. Numer. Methods Eng. 2012, 90:403-411.
6. Famaey N., Sommer G., Vander Sloten J., Holzapfel G.A. Arterial clamping. finite element simulation and in vivo validation. J. Mech. Behav. Biomed. 2012, 12:107-118.
7. FDA, 2010. Guidance for Industry and FDA Staf-Non-Clinical Engineering Tests and Recommended Labeling for Intravascular Stents and Associated Delivery Systems.
8. Federico S. Volumetric-distortional decomposition of deformation and elasticity tensor. Math. Mech. Solids 2010, 15:672-690.
9. Gasser T.C., Holzapfel G.A. A rate-independent elastoplastic constitutive model for biological fiber-reinforced composites at finite strains. continuum basis, algorithmic formulation and finite element implementation. Comput. Mech. 2002, 29:340-360. 10.1007/s00466-002-0347-6.
10. Guilak F., Ratcliffe A., Mow V.C. Chondrocyte deformation and local tissue strain in articular cartilage. a confocal microscopy study. J. Orthop. Res. 1995, 13:410-421.
11. Helfenstein J., Jabareen M., Mazza E., Govindjee S. On non-physical response in models for fiber-reinforced hyperelastic materials. Int. J. Solids Struct. 2010, 47:2056-2061.
12. Holzapfel G.A., Gasser T.C., Ogden R.W. A new constitutive framework for arterial wall mechanics and a comparative study of material models. J. Elast. 2000, 61:1-48.
13. Holzapfel G.A., Gasser T.C., Ogden R.W. Comparison of a multi-layer structural model for arterial walls with a Fung-type model, and issues of material stability. J. Biomech. Eng. 2004, 126:264-275.
14. Huang R., Becker A.A., Jones I.A. Modelling cell wall growth using a fibre-reinforced hyperelasticviscoplastic constitutive law. J. Mech. Phys. Solids 2012, 60:750-783.
15. Iannaccone F., Debusschere N., De Bock S., De Beule M., Van Loo D., Vermassen F., Segers P., Verhegghe B. The influence of vascular anatomy on carotid artery stenting: a parametric study for damage assessment. J. Biomech. 2014, 47:890-898.
16. Kiousis D.E., Wulff A.R., Holzapfel G.A. Experimental studies and numerical analysis of the inflation and interaction of vascular balloon catheter-stent systems. Ann. Biomed. Eng. 2009, 37:315-330.
17. Maquer G., Laurent M., Brandejsky V., Pretterklieber M.L., Zysset P.K. Finite element based nonlinear normalization of human lumbar intervertebral disc stiffness to account for its morphology. J. Biomed. Eng. 2014, 136.
18. McGarry J., O'Donnell B., McHugh P., O'Cearbhaill E., McMeeking R. Computational examination of the effect of material inhomogeneity on the necking of stent struts under tensile loading. J. Appl. Mech. 2007, 74:978-989.
19. Ní Annaidh A., Destrade M., Gilchrist M.D., Murphy J.G. Deficiencies in numerical models of anisotropic nonlinearly elastic materials. Biomech. Model Mechanobiol. 2013, 12:781-791.
20. Peña E., Del Palomar A.P., Calvo B., Martínez M., Doblaré M. Computational modelling of diarthrodial joints. Physiological, pathological and pos-surgery simulations. Arch. Comput. Methods Eng. 2007, 14:47-91.
21. Pérez del Palomar A., Doblaré M. On the numerical simulation of the mechanical behaviour of articular cartilage. Int. J. Numer. Methods Eng. 2006, 67:1244-1271.
22. Sansour C. On the physical assumptions underlying the volumetric-isochoric split and the case of anisotropy. Eur. J. Mech. A/Solids 2008, 27:28-39.
23. Smith H.E., Mosher T.J., Dardzinski B.J., Collins B.G., Collins C.M., Yang Q.X., Schmithorst V.J., Smith M.B. Spatial variation in cartilage T2 of the knee. J. Magn. Reson. Imaging 2001, 14:50-55.
24. Suh J.B., Gent A.N., Kelly S.G. Shear of rubber tube springs. Int. J. Non-Linear Mech. 2007, 42:1116-1126.
25. Sun W., Chaikof E.L., Levenston M.E. Numerical approximation of tangent moduli for finite element implementations of nonlinear hyperelastic material models. J. Biomech. Eng. 2008, 130:061003.
26. Thury A., van Langenhove G., Carlier S.G., Albertal M., Kozuma K., Regar E., Sianos G., Wentzel J.J., Krams R., Slager C.J. High shear stress after successful balloon angioplasty is associated with restenosis and target lesion revascularization. Am. Heart J. 2002, 144:136-143.
27. Vergori L., Destrade M., McGarry P., Ogden R.W. On anisotropic elasticity and questions concerning its Finite Element implementation. Comput. Mech. 2013, 52:1185-1197.
28. Weiss J.A., Maker B.N., Govindjee S. Finite element implementation of incompressible, transversely isotropic hyperelasticity. Comput. Methods Appl. Mech. Eng. 1996, 135(1-2):107-128.
29. Wentzel J.J., Gijsen F.J., Stergiopulos N., Serruys P.W., Slager C.J., Krams R. Shear stress, vascular remodeling and neointimal formation. J. Biomech. 2003, 36:681-688.