112
Views
4
CrossRef citations to date
0
Altmetric
Articles

A hybrid method to characterise the mechanical behaviour of biological hyper-elastic tissues

, &
Pages 157-164 | Received 10 Nov 2014, Accepted 23 Mar 2015, Published online: 25 Apr 2016

References

  • Afonso JS, Martins PALS, Girao MJBC, Natal Jorge RM, Ferreira AJM, Mascarenhas T, Fernandes AA, Bernardes J, Baracat EC, Rodrigues de Lima G, et al. 2008. Mechanical properties of polypropylene mesh used in pelvic floor repair. Int Urogynecol J. 19(3):375–380. doi:10.1007/s00192-007-0446-1.
  • Bruck A, Mcneill R, Sutton M, Peters H. 1989. Digital image correlation using Newton–Raphson method of partial differential correction. Exp Mech. 29(3):261–267. doi:10.1007/BF02321405.
  • Calvo B, Peña E, Martinez MA, Doblaré M. 2007. An uncoupled directional damage model for fibred biological soft tissues: formulation and computational aspects. Int J Numer Methods Eng. 69(10):2036–2057. doi:10.1002/nme.1825.
  • Chu T, Ranson W, Sutton M, Peters W. 1985. Applications of digital-image-correlation techniques to experimental mechanics. Exp Mech. 25(3):232–244. doi:10.1007/BF02325092.
  • Gras LL, Mitton D, Viot P, Laporte S. 2010. Modelling of human muscle behaviour with a hyper-elastic constitutive law. Comput Methods Biomech Biomed Eng. 13(Suppl 1):63–64. doi:10.1080/10255842.2010.493725.
  • Green AE, Adkins JE. 1970. Large elastic deformations. 2nd ed. London: Oxford University Press.
  • Holzapfel AH. 2000. Nonlinear solid mechanics: continuum approach for engineering. West Sussex: John Wiley & Sons Ltd.
  • Holzapfel GA, Weizsäcker HW. 1998. Biomechanical behavior of the arterial wall and its numerical characterization. Comput Biol Med. 28(4):377–392. doi:10.1016/S0010-4825(98)00022-5.
  • Hung P, Voloshin A. 2003. In-plane strain measurement by digital image correlation. J Braz Soc Mech Sci Eng. 25(3):215–221. doi:10.1590/S1678-58782003000300001.
  • Lecompte DD, Smits A, Bossuyt S, Sol H, Vantomme J, Van Hemelrijck D, Habraken AM. 2006. Quality assessment of speckle patterns for digital image correlation. Opt Lasers Eng. 44(11):1132–1145. doi:10.1016/j.optlaseng.2005.10.004.
  • Marcellier HH, Vescovo PP, Varchon D, Vacher P, Humbert P, Marcellierl H, Vescovo P. 2001. Optical analysis of displacement and strain fields on human skin. Skin Res Technol. 7(4):246–253. doi:10.1034/j.1600-0846.2001.70407.x.
  • Martins PALS, Natal Jorge RM, Ferreira AJM. 2006. A comparative study of several material models for prediction of hyperelastic properties: application to silicone-rubber and soft tissues. Strain. 42(3):135–147. doi:10.1111/j.1475-1305.2006.00257.x.
  • Martins JA, Pato MP, Pires EB, Jorge RM, Parente M, Mascarenhas T. 2007. Finite element studies of the deformation of the pelvic floor. Ann NY Acad Sci. 1101(1):316–334. doi:10.1196/annals.1389.019.
  • Martins PP, Peña EE, Calvo B, Doblaré M, Mascarenhas T, Natal Jorge RM, Ferreira A. 2010. Prediction of nonlinear elastic behaviour of vaginal tissue: experimental results and model formulation. Comput Methods Biomech Biomed Eng. 13(3):327–337. doi:10.1080/10255840903208197.
  • Mooney M. 1940. A theory of large elastic deformation. J Appl Phys. 11(9):582–592. doi:10.1063/1.1712836.
  • Muñoz MJ, Bea JA, Rodríguez JF, Ochoa I, Grasa J, Pérez del Palomar A, Zaragoza P, Osta R, Doblaré M. 2008. An experimental study of the mouse skin behaviour: damage and inelastic aspects. J Biomech. 41(1):93–99.
  • Ogden RW. 1972. Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids. Proc Roy Soc Lond Ser A Math Phys Sci. 326(1567):565–584. doi:10.1098/rspa.1972.0026.
  • Ogden R. 1984. Non-linear elastic deformations. New York: Dover Publications.
  • Saleme CS, Parente MP, Natal Jorge RM, Pinotti M, Silva-Filho AL, Roza T, Mascarenhas T, Tavares JM. 2011. An approach on determining the displacements of the pelvic floor during voluntary contraction using numerical simulation and MRI. Comput Methods Biomech Biomed Eng. 14(4):365–370. doi:10.1080/10255842.2010.482045.
  • Sasso M, Palmieri G, Chiappini G, Amodio D. 2008. Characterization of hyperelastic rubber-like materials by biaxial and uniaxial stretching tests based on optical methods. Polym Test. 27(8):995–1004. doi:10.1016/j.polymertesting.2008.09.001.
  • Stolarski T, Nakasone Y, Yoshimoto S. 2006. Engineering analysis with ansys software. Oxford: Elsevier.
  • Sutton M, Wolters J, Peters H, Ranson F, Mcneill R. 1983. Determination of displacements using an improved digital correlation method. Image Vision Comput. 1(3):133–139. doi:10.1016/0262-8856(83)90064-1.
  • Sutton MA, Mingqi C, Peters WH, Chao J, McNeill SR. 1986. Application of an optimized digital correlation method to planar deformation analysis. Image Vision Comput. 4(3):143–150. doi:10.1016/0262-8856(86)90057-0.
  • Sutton MA, McNeill SR, Jang J, Babai M. 1988. Effects of subpixel image restoration on digital correlation error estimates. J Opt Eng. 27(10):271070–877. doi:10.1117/12.7976778.
  • Sutton MA, Turner L, Bruck A, Chae A. 1991. Full-field representation of discretely sampled surface deformation for displacement and strain analysis. Exp Mech. 31(2):168–177. doi:10.1007/BF02327571.
  • Taber L. 2004. Nonlinear theory of elasticity: applications in biomechanics. London: World Scientific Publishing.
  • Yeoh OH. 1993. Some forms of the strain energy function for rubber. Rubber Chem Technol. 66(5):754–771. doi:10.5254/1.3538343.
  • Zienkiewicz O, Taylor R. 1991. The finite element method. Oxford: McGraw Hill.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.