Skip to main content

Advertisement

Log in

A new model for the artificial aorta blood vessels using double-sided radial functionally graded biomaterials

  • Original Article
  • Published:
Medical & Biological Engineering & Computing Aims and scope Submit manuscript

Abstract

Based on radial functionally graded biomaterials and inspired by the geometry of a real aorta blood vessel, a new model was proposed to fabricate the artificial blood vessels. A finite element analyzer is employed to reach the optimal and proper material properties while earlier, it was validated by two famous theories, i.e., the first shear deformation and the plane elasticity. First, the geometry of a real ascending aorta part was simulated and then solved under the axially varying blood pressure and other real and actual conditions. Since the construction of artificial blood vessels just similar to the natural one is impossible, it was tried to find the best substitutes for other materials. Due to the significant properties of functionally graded biomaterials in the reduction in sudden changes of stress and deformation, these types of materials were selected and studied. Two types of conventional single-sided and an efficient double-sided radial functionally graded vessel were proposed and simulated. The elastic behaviors of proposed vessels were obtained and compared to ones previously attained from the real vessel. The results show that all the desired behaviors cannot be achieved by using a conventional single-sided radial FG vessel. Instead and as a conjecture, a smart double-sided radial FG biomaterial is suggested. Fortunately, the proposed material can meet all the desired goals and satisfy all of the indices simultaneously.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. Asgharzadeh Shirazi H, Ayatollahi MR (2014) Biomechanical analysis of functionally graded biomaterial disc in terms of motion and stress distribution in lumbar spine. Int J Eng Sci 84:62–78

    Article  Google Scholar 

  2. Brossollet LJ, Vito RP (1995) An alternate formulation of blood vessel mechanics and the meaning of the in vivo property. J Biomech 28:679–687

    Article  CAS  PubMed  Google Scholar 

  3. Chandran KB, Gao D, Han G, Baraniewski H, Corson JD (1992) Finite-element analysis of arterial anastomoses with vein, Dacron and PTFE graffs. Med Biol Eng Comput 30:413–418

    Article  CAS  PubMed  Google Scholar 

  4. Di Martino ES, Guadagni G, Fumero A, Ballerini G, Spirito R, Biglioli P, Redaelli A (2001) Fluid–structure interaction within realistic three-dimensional models of the aneurysmatic aorta as a guidance to assess the risk of rupture of the aneurysm. Med Eng Phys 23:647–655

    Article  PubMed  Google Scholar 

  5. Dinno KS, Gill SS (1965) The limit analysis of a pressure vessel consisting of the junction of a cylindrical and spherical shell. Int J Mech Sci 7:21–42

    Article  Google Scholar 

  6. Enab TA (2012) A comparative study of the performance of metallic and FGM tibia tray components in total knee replacement joints. Comput Mater Sci 53:94–100

    Article  CAS  Google Scholar 

  7. Fukui Y, Yamanaka N (1992) Elastic analysis for thick-walled tubes of functionally graded material subjected to internal pressure. JSME Int J Ser 1 Solid Mech Strength Mater 35:379–385

    Article  CAS  Google Scholar 

  8. Gao F, Watanabe M, Matsuzawa T (2006) Stress analysis in a layered aortic arch model under pulsatile blood flow. Biomed Eng Online 5:1–11

    Article  Google Scholar 

  9. Hall JE, Guyton AC (2010) Textbook of medical physiology. Elsevier Health Sciences, Amsterdam

    Google Scholar 

  10. Hedia HS, El-Midany TT, Shabara MAN, Fouda N (2005) Development of cementless metal-backed acetabular cup prosthesis using functionally graded material. Int J Mech Mater Des 2:259–267

    Article  Google Scholar 

  11. Horgan CO, Chan AM (1999) The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. J Elast 55:43–59

    Article  Google Scholar 

  12. Jabbari M, Sohrabpour S, Eslami MR (2002) Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads. Int J Press Vessels Pip 79:493–497

    Article  Google Scholar 

  13. Jabbari M, Sohrabpour S, Eslami MR (2003) General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads. J Appl Mech 70:111–118

    Article  Google Scholar 

  14. Khoshgoftar MJ, Rahimi GH, Arefi M (2013) Exact solution of functionally graded thick cylinder with finite length under longitudinally non-uniform pressure. Mech Res Commun 51:61–66

    Article  Google Scholar 

  15. Koizumi M (1997) FGM activities in Japan. Compos B Eng 28:1–4

    Article  Google Scholar 

  16. Mazumdar J (1992) Biofluid mechanics. World Scientific, Singapore

    Book  Google Scholar 

  17. Sadollah A, Bahreininejad A (2011) Optimum gradient material for a functionally graded dental implant using metaheuristic algorithms. J Mech Behav Biomed Mater 4:1384–1395

    Article  PubMed  Google Scholar 

  18. Shi Z, Zhang T, Xiang H (2007) Exact solutions of heterogeneous elastic hollow cylinders. Compos Struct 79:140–147

    Article  Google Scholar 

  19. Taelman L et al (2015) Differential impact of local stiffening and narrowing on hemodynamics in repaired aortic coarctation: an FSI study. Med Biol Eng Comput 54(2–3):497–510

    PubMed  Google Scholar 

  20. Timoshenko S (1963) Strength of materials. Part 2: advanced theory and problems, 3rd edn. van Nostrand

  21. Tutuncu N (2007) Stresses in thick-walled FGM cylinders with exponentially-varying properties. Eng Struct 29(9):2032–2035

    Article  Google Scholar 

  22. Tutuncu N, Ozturk M (2001) Exact solutions for stresses in functionally graded pressure vessels. Compos B Eng 32:683–686

    Article  Google Scholar 

  23. Xiang H, Shi Z, Zhang T (2006) Elastic analyses of heterogeneous hollow cylinders. Mech Res Commun 33:681–691

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alireza Asnafi.

Ethics declarations

Conflict of interest

We declare that we have no conflicts of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Salimi Bani, M., Asgharzadeh Shirazi, H., Ayatollahi, M.R. et al. A new model for the artificial aorta blood vessels using double-sided radial functionally graded biomaterials. Med Biol Eng Comput 55, 859–871 (2017). https://doi.org/10.1007/s11517-016-1569-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11517-016-1569-7

Keywords

Navigation