415
Views
7
CrossRef citations to date
0
Altmetric
Short Communication

Updated Lagrangian finite element formulations of various biological soft tissue non-linear material models: a comprehensive procedure and review

&
Pages 1137-1142 | Received 13 Jul 2015, Accepted 19 Oct 2015, Published online: 27 Nov 2015

References

  • Bower AF. 2009. Applied mechanics of solids. 2009th ed. Boca Raton (FL): CRC Press.
  • Esat V, Acar M. 2009. Viscoelastic finite element analysis of the cervical intervertebral discs in conjunction with a multi-body dynamic model of the human head and neck. Proc Inst Mech Eng, Part H 223:249–262.10.1243/09544119JEIM421
  • Frijns AJH, Huyghe JM, Janssen JD. 1997. A validation of the quadriphasic mixture theory for intervertebral disc tissue. Int J Eng Sci. 35:1419–1429.10.1016/S0020-7225(97)00047-5
  • Galbusera F, Schmidt H, Noailly J, Malandrino A, Lacroix D, Wilke HJ, Shirazi-Adl A. 2011. Comparison of four methods to simulate swelling in poroelastic finite element models of intervertebral discs. J Mech Behav Biomed Mater. 4:1234–1241.10.1016/j.jmbbm.2011.04.008
  • Hsieh AH, Wagner DR, Cheng LY, Lotz JC. 2005. Dependence of mechanical behavior of the murine tail disc on regional material properties: a parametric finite element study. J Biomech Eng. 127:1158–1167.10.1115/1.2073467
  • Kim NH. 2004. An introduction to nonlinear finite element analysis. 2015th ed. New York (NY): Springer.
  • Laible JP, Pflaster D, Krag MH, Simon BR, Haugh LD. 1993. A poroelastic-swelling finite element model with application to the intervertebral disc. Spine (Phila Pa 1976). 18:659–670.
  • Lipscomb KE. 2014. Biomechanical changes in the whole human spine due to intervertebral disc degeneration and fusion. Davis: University of California.
  • Nagaraj HB, Munnas MM, Sridharan A. 2009. Critical evaluation of determining swelling pressure by swell-load method and constant volume method. Geotech Test J. 32:305–314.
  • Simon BR. 1992. Multiphase poroelastic finite element models for soft tissue structures. Appl Mech Rev. 45:191–218.10.1115/1.3121397

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.