medigraphic.com
ISSN 1561-3011 (Electronic)

2011, Number 1

<< Back Next >>

Rev Cubana Invest Bioméd 2011; 30 (1)

Isotropic hardening model with explicit integration scheme for biomaterial and its application to stents expansion

Narváez-Tovar CA, Rodrigo López-Vaca O, Garzón-Alvarado DA

Language: Spanish
References: 24
Page: 104-123
PDF size: 862.96 Kb.


ABSTRACT

A isotropic hardening model is presented for metallic biomaterials, which uses a explicit integration scheme under increasing formula. To computer implementation a finite element from UEL user was programmed in FORTRAN language for its execution in the ABAQUS software. To model validation two examples type benchmark were solved and results are compared with ANSYS and the UMAT of Dunne and Petrinic for ABAQUS. Finally, model is used to simulate the extension of a coronary stent manufactures in 316L stainless steel. We conclude that the model has an acceptable numerical error taking into account that finite element was programmed as a whole and has not any of the optimizations of commercial codes. In future papers the UEL will be coupled with continuous damage mechanics model to predict the failure due to fatigue, whose analysis is a basic standard in stent manufacturing.


REFERENCES

  1. Kossa A, Szabó L. Exact integration of the Von Mises elastoplasticity model with combined linear isotropic-kinematic hardening. International Journal of Plasticity. 2009;25:1083-1106.

  2. Habraken AM. Modelling the Plastic Anisotropy of Metals. Arch Comput Meth Engng. 2004;11(1):3-96.

  3. Chaboche JL. A review of some plasticity and viscoplaesticity constitutive theories. International Journal of Plasticity. 2008;24:1642-93.

  4. Walke W, Paszenda Z, Jurkiewicz W. Biomechanical behaviour of coronary stent design with OCC technology. Journal of Achievements in Materials and Manufacturing Engineering. 2007;20(1-2):199-202.

  5. McGarry JP, O'Donnell BP, McHugh PE, McGarry JG. Analysis of the mechanical performance of a cardiovascular stent design based on micromechanical modelling. Computational Materials Science. 2004;31:421-38.

  6. Liang DK; Yang DZ, Qi M, Wang WQ. Finite element analysis of the implantation of a balloon-expandable stent in a stenosed artery. International Journal of Cardiology. 2005;104:314-18.

  7. De Beule M, Mortier P, Carlier SG, Verhegghe B, Van Impe R, Verdonck P. Realistic finite element-based stent design: The impact of balloon folding. Journal of Biomechanics. 2008;41:38389.

  8. Migliavacca F, Petrini L, Massarotti P, Schievano S, Auricchio F, Dubini G. Stainless and shape memory alloy coronary stents: a computational study on the interaction with the vascular wall. Biomechan Model Mechanobiol. 2004,2:205-17.

  9. Wu W, Yang D-Z, Huang Y-Y, Qi M, Wang W-Q. Topology optimization of a novel stent platform with drug reservoirs. Medical Engineering & Physics. 2008;30:1177-85.

  10. Li N, Zhang H, Ouyang H. Shape optimization of coronary artery stent based on a parametric model. Finite Elements in Analysis and Design 2009;45:468-75.

  11. Mori K, Saito T. Effects of stent structure on Stent Flexibility Measurements. Annals of Biomedical Engineering. 2005,33(6):733-42.

  12. Wu W, Yang D-Z, Qi M, Wang W-Q. An FEA method to study flexibility of expanded coronary stents. Journal of Materials Processing Technology. 2007;184:447-50.

  13. Holzapfel GA, Kiousis DE. Biomechanical Characterization of the stented artery. Computational solid mechanical aspects. En: Chakfé N, Durand B, Kretz JG. ESVB 2007. New Technologies in vascular biomaterials. Fundamentals about stents. Cap. 2. Strasbourg: 2007. p. 11-23.

  14. Zahedmanesh H, Kelly DJ, Lally C. Simulation of a balloon expandable stent in a realistic coronary artery. Determination of the optimum modeling strategy. Journal of Biomechanics. 2010,43:2126-32.

  15. Dunne F, Petrinic N. Introduction to computational plasticity. New York: Oxford University Press, 2005.

  16. Yu M-H, Ma G-W, Qiang H-F, Zhang Y-Q. Generalized Plasticity. Berlín: Springer; 2006.

  17. Lam DF. Strain concentration and tension dominated stiffened aerospace structures. University of Akron; 2006. Disponible en: http://etd.ohiolink.edu/view.cgi/Lam%20Daniel%20F.pdf?akron1145393262

  18. Zienkiewicz OC, Taylor RL. The Finite Element Method. Vol. II. 4 ed. London: McGraw Hill; 1991.

  19. Auricchio F, Taylor RL. A return-map algorithm for general associative isotropic elasto-plastic materials in large deformation regimes. International Journal of Plasticity. 1999;15:1359-78.

  20. De Sousa Neto EA, Períc D, Owen DRJ. Computational methods for plasticity. Willey; 2009.

  21. Szabó L. A semi-analytical integration method for J2 flow theory of plasticitywith linear isotropic hardening. Comput Methods Appl Mech Engrg. 2009;198:2151-66.

  22. Wilson CD. A Critical Reexamination of Classical Metal Plasticity. ASME. Journal of Applied Mechanics. 2002,69:63-68.

  23. Toshihiro U. Sample of the stent and balloon catheter. [en línea] http://www.ne.jp/asahi/ueda/stroke/stent.html [citado 29 de agosto de 2010]

  24. Yun S, Palazotto A. Damage mechanics incorporating two back stress kinematic hardening constitutive models. Engineering Fracture Mechanics. 2007;74:2844-63.




2020     |     www.medigraphic.com