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Computer Methods in Biomechanics and Biomedical Engineering Volume 16, 2013 - Issue 5
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Article

Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL

Marco FavinoInstitute of Computational Science, University of Lugano, Lugano, SwitzerlandCorrespondence[email protected]
,
Christian GrossInstitute of Computational Science, University of Lugano, Lugano, Switzerland
,
Marcel DrolshagenEndowed Chair of Oral Technology, Dental School, University of Bonn, Bonn, Germany
,
Ludger KeiligEndowed Chair of Oral Technology, Dental School, University of Bonn, Bonn, Germany
,
James DeschnerEndowed Chair of Oral Technology, Dental School, University of Bonn, Bonn, Germany
,
Christoph BourauelEndowed Chair of Oral Technology, Dental School, University of Bonn, Bonn, Germany
&
Rolf KrauseInstitute of Computational Science, University of Lugano, Lugano, Switzerland
 show all
Pages 544-553 | Received 02 Feb 2011, Accepted 28 Sep 2011, Published online: 22 Mar 2012

REFERENCES

  • BastianP, BirkenK, JohannsenK, LangS, NeußN, Rentz-ReichertH, WienersC. 1997. UG – a flexible software toolbox for solving partial differential equations. Comput Vis Sci. 1:27–40.
  • BerkowitzBKB, HollandGR, MoxhamBJ. 2009. Oral anatomy, histology and embryology. 4th ed.UK: Mosby, ISBN 9780723434115.
  • BerrenbergS, KrauseR. 2007. Efficient parallel simulation of biphasic materials in biomechanics. Sixth Int Congr Ind Appl Math (ICIAM07) and GAMM Annu Meet Zür. 7(1):1121101–1121102, December.
  • BowenRM. 1976. Theory of mixtures. Contin Phys.3:1–127.
  • BowenRM. 1980. Incompressible porous media models by use of the theory of mixtures. Int J Eng Sci. 18:1129–1148.
  • Durkee MC. 1996. Non-linear stress-strain behaviour of the periodontal ligament and its effect on finite element models of dental structures. PhD thesis, [Baltimore (MD)]: University of Maryland.
  • EhlersW. 1995. Grundlegende konzepte in der theorie poröser medien. Technische Mechanik. 16(1):63–76.
  • EhlersW, MarkertB. 2001. A linear viscoelastic biphasic model for soft tissues based on the theory of porous media. ASME J Biomech Eng. 128:418–424.
  • Groß C, Krause R. 2008. Import of geometries and extended informations into obslib++ using the exodus ii and exodus parameter file formats. Institute for Numerical Simulation: University of Bonn, Germany: Technical Report 712, January 2008.
  • HassanizadehM, GrayaWG. 1980. General conservation equations for multi-phase systems: 3. constitutive theory for porous media flow. Adv Water Resour. 3(1):25–40.
  • Justiz J. 2004. With applications to the periodontal ligament a non-linear large strain viscoelastic law. PhD thesis, [Switzerland]: École Polytechnique Fédérale de Lausanne.
  • KomatsuK. 2010. Mechanical strength and viscoelastic response of the periodontal ligament in relation to structure. J Dent Biomech.1(1)
  • Krause R. 2007. A parallel decomposition approach to non-smooth minimization problems - concepts and implementation. University of Bonn, Germany: Institute for Numerical Simulation. Technical Report 709.
  • MowVC, LaiWM, HolmesMH. 1982. Advanced theoretical and experimental techniques in cartilage research. In: HuiskesR, van CampenD, de WijnJ, editors. Biomechanics: Principles and Applications, The Hague: Martinus Nijhoff. p. 47–74.
  • MowVC, HungCT. 2001. Biomechanics of articular cartilage. In: NordinM, FrankelV, editors. Basic Biomechanics of the Locomotor System, 3rd ed.Baltimore, MD: Lippincott Williams & Wilkins. p. 61–100.
  • NataliAN, CarnielEL, PavanPG, BourauelC, ZieglerA, KeiligL. 2007. Experimental-numerical analysis of minipig's multi-rooted teeth. J Biomech. 40(8):1701–1708, ISSN 0021-9290.
  • PietrzakG, CurnierA, BotsisJ, ScherrerS, WiskottA, BelserU. 2002. A nonlinear elastic model of the periodontal ligament and its numerical calibration for the study of tooth mobility. Comput Methods Biomech Biomed Eng. 2(5):91–100.
  • QuarteroniA, SaccoR, SaleriF. 2008. Numerical mathematics, Texts in Applied Mathematics (TAM) 37, 2nd ed. New York: Springer-Verlag.
  • RahimiA, KeiligL, BendelsG, KleinR, BuzugTM, AbdelgaderI, AbboudM, BourauelC. 2005. 3d reconstruction of dental specimens from 2d histological images and microct-scans. Comput Methods Biomech Biomed Eng. 8(3):167–176, ISSN 1025-5842 (p), 1476-8259 (e).
  • TomsRS, DakinGJ, LemonsJE, EberhardtAW. 2002. Quasi-linear viscoelastic behavior of the human periodontal ligament. J Biomech. 35:1411–1415.
  • VerruijtA. 1970. Theory of groundwater flow. Harwood Academic, The Netherlands: Delft University of Technology.

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