Modeling the response of nonlinear viscoelastic biodegradable polymeric stents

International Journal of Solids and Structures

Volumn 49, Issue 7-8, 2012, Pages 989-1000

  Muliana, Anastasia ^a   Rajagopal, K R ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Biodegradable polymers; Degradation; Finite element; Nonlinear viscoelastic; Stent

Indexed keywords

ARTERIAL WALL; BIODEGRADABLE STENTS; DIFFUSION OF WATER; FINITE ELEMENT; MATERIAL PARAMETER; MECHANICAL LOADING; NONLINEAR VISCO-ELASTIC; PLLA; POLY LACTIC ACID; QUASI-LINEAR; STENT; STRONG COUPLING; TIME HISTORY; TIME-DEPENDENT RESPONSE;

DEGRADATION; LACTIC ACID; LOADING; STENTS; TISSUE; TISSUE ENGINEERING;

BIODEGRADABLE POLYMERS;

EID: 84857061444     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2011.12.007     Document Type: Article

References (25)

1. C.M. Agrawal, K.F. Haas, D.A. Leopold, and H.G. Clark Evaluation of poly(l-lactic acid) as a material for intravascular polymeric stents Biomaterials 13 1992 176 182
2. Y.C. Fung Biomechanics: Mechanical Properties of Living Tissues 1981 Springer New York
3. A. Gopferich Polymer degradation and erosion: mechanisms and applications Eur. J. Pharm. Biopharm. 4 1996 1 11 (Pubitemid 26092502)
4. N. Grabow, M. Schlun, and K. Sternberg Mechanical properties of laser cut poly-l lactide microspecimens: implications for stent design, manufacture, and sterilization J. Biomech. Eng. 127 2005 25 31 (Pubitemid 40463478)
5. N. Grabow, C.M. Bunger, and K. Sternberg Mechanical properties of a biodegradable balloon-expandable stent from poly(l-lactide) for peripheral vascular application ASME J. Med. Dev. 1 2005 84 88 (Pubitemid 351780880)
6. H.E. Huntley, A.S. Wineman, and K.R. Rajagopal Math. Mech. Solids 1 1996 267 299
7. V. La Saponara Environmental and chemical degradation of carbon/epoxy and structural adhesive for aerospace applications: Fickian and anomlous diffusion, arrhenius kinetics Compos. Struct. 93 2011 2180 2195
8. N.D. Miller, and D.F. Williams The in vivo and in vitro degradation of poly(glycolic acid) suture material as a function of applied strain Biomaterials 5 1984 365 368 (Pubitemid 15195098)
9. D. Mohan, and J.W. Melvin Failure properties of passive human aortic tissue. I: Uniaxial tension tests J. Biomech. 15 1982 887 902 (Pubitemid 13187603)
10. J.E. Moore, J.S. Soares, and K.R. Rajagopal Biodegradable stents: biomechanical modeling challenges and opportunities Cardiovascul. Eng. Technol. 1 2010 52 65
11. A. Muliana, S.C. Subramanian, and K.R. Rajagopal Degradation of an elastic composite cylinder due to the diffusion of a fluid J. Compos. Mater. 43 2009 1225 1249
12. A. Muliana, and K.R. Rajagopal Changes in the response of viscoelastic solids due to changes in their internal structures Acta Mech. 217 2011 297 316
13. E. Piskin, A. Tuncel, and A. Denizli Nondegradable and biodegradable polymer particles - preparation and some selected biomedical applications A.M. Usmani, Diagnostic Biosensor Polymers 1994 American Chemical Society 222 237
14. K.R. Rajagopal, and A.S. Wineman A constitutive equation for nonlinear solids which undergo deformation induced microstructural changes Int. J. Plasticity 8 1996 385 395 (Pubitemid 23566674)
15. K.R. Rajagopal, A.R. Srinivasa, and A.S. Wineman On the shear and bending of a degrading polymer beam Int. J. Plasticity 23 2007 1618 1636 (Pubitemid 46777254)
16. S. Rothstein, W.J. Federspiel, and S.R. Little A unified mathematical model for the prediction of controlled release from surface and bulk eroding polymer matrices Biomaterials 30 2009 1657 1664
17. J.A. Shaw, A.S. Jones, and A.S. Wineman Chermorheological response of elastomers at elevated temperatures: experiments and simulations J. Mech. Phys. Solids 53 2005 2758 2793 (Pubitemid 41377796)
18. Soares, J.S.; 2008. Constitutive Modeling for Biodegradable Polymers for Applications in Endovascular Stents. PhD Dissertation. Mechanical Engineering Texas A&M University.
19. J.S. Soares, J.E. Moore, and K.R. Rajagopal Modeling of deformation accelerated breakdown of polylactic acid biodegradable stents ASME J. Med. Sci. 4 2010 041007
20. J.S. Soares, K.R. Rajagopal, and J.E. Moore Deformation-induced hydrolysis of a degradable polymeric cylindrical annulus Biomech. Model Mechanibiol. 9 2010 177 186
21. T.T. Tanaka, and Y.C. Fung Elastic and inelastic properties of the canine aorta and their variation along the aortic tree J. Biomech. 7 1974 357 370
22. Y. Weitsman Stress assisted diffusion in elastic and viscoelastic materials J. Mech. Phys. Solids 35 1987 73 93 (Pubitemid 17533401)
23. A. Wineman, and J.H. Min Time-dependent scission and cross-linking in an elastomeric cylinder undergoing circular shear and heat conduction Int. J. Nonlinear Mech. 38 2002 969 983
24. W.W. Wright The effect of diffusion of water into epoxy resins and their carbon-fibre reinforced composites Composites 12 1981 201 205 (Pubitemid 12425450)
25. J.S. Yoon, H.W. Jung, M.N. Kim, and E.S. Park Diffusion coefficient and equilibrium solubility of water molecules in biodegradable polymers J. Appl. Pol. Sci. 77 2000 1716 1722