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TECHNICAL PAPERS

An Interface Model for the Periodontal Ligament

[+] Author and Article Information
Massimiliano Gei

Dipartimento di Scienze e Metodi dell’Ingegneria, Università di Modena e Reggio Emilia, Via Fogliani 1, I-42100 Reggio Emilia, Italiae-mail: mgei@unimo.it

Francesco Genna

Dipartimento di Ingegneria Civile, Università di Brescia, Via Branze 38, I-25123 Brescia, Italiae-mail: genna@bscivgen.ing.unibs.it

Davide Bigoni

Dipartimento di Ingegneria Meccanica e Strutturale, Università di Trento, Via Mesiano 77, I-38050 Trento, Italiae-mail: bigoni@ing.unitn.it

J Biomech Eng 124(5), 538-546 (Sep 30, 2002) (9 pages) doi:10.1115/1.1502664 History: Received April 01, 2001; Online September 30, 2002
Copyright © 2002 by ASME
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References

McGuinness,  N. J. P., Wilson,  A. N., Jones,  M. L., and Middleton,  J., 1991, “A Stress Analysis of the Periodontal Ligament Under Various Orthodontic Loadings,” European Journal of Orthodontics, 13, pp. 231–242.
Middleton,  J., Jones,  M. L., and Wilson,  A. N., 1996, “The Role of the Periodontal Ligament in Bone Modeling: The Initial Development of a Time-Dependent Finite Element Model,” Am. J. Orthod. Dentofacial Orthop., 109, pp. 155–162.
Rees,  J. S., and Jacobsen,  P. H., 1997, “Elastic Modulus of the Periodontal Ligament,” Biomaterials, 18, pp. 995–999.
Moxham, B. J., and Berkovitz, B. K. B., 1982, “The Effects of External Forces on the Periodontal Ligament—The Response to Axial Loads,” in The Periodontal Ligament in Health and Disease, B. K. B. Berkovitz, B. J. Moxham, and H. W. Newman, eds., Pergamon Press, Oxford, pp. 249–268.
van Rossen,  I. P., Braak,  L. H., de Putter,  C., and de Groot,  K., 1990, “Stress-Absorbing Elements in Dental Implants,” J. Prosthet. Dent., 64(2), pp. 198–205.
Brunski,  J. B., 1992, “Biomechanical Factors Affecting the Bone-Dental Implant Interface,” Clinical Materials, 10, pp. 153–201.
Ralph,  W. J., 1982, “Tensile Behavior of the Periodontal Ligament,” Journal of Periodontal Research, 17, p. 423–426.
Pini, M., 1999, “Mechanical Characterization and Modeling of the Periodontal Ligament,” PhD thesis, University of Trento, Trento, Italy.
Pini, M., Vena, P., and Contro, R., 2000, “Parameter Identification of a Non-Linear Constitutive Law for the Periodontal Ligament Allowing for Tensile and Shear Laboratory Tests,” Proc. XIII Convegno Italiano di Meccanica Computazionale, Brescia, Italy, 13–15 November 2000.
Fung, Y. C., 1993, Biomechanics: Mechanical Properties of Living Tissues, Springer-Verlag, Berlin, Heidelberg.
Pietrzak, G., 1997, “Continuum Mechanics Modeling and Augmented Lagrangian Formulation of Large Deformation Frictional Contact Problems,” PhD thesis, LMAF-DGM-EPFL, Lausanne, Switzerland.
Pietrzak, G., Botsis, J., Curnier, A., Zysset, P., Scherrer, S., Wiskott, A., and Belser, U., 1998, “Numerical Identification of Material Properties of the Periodontal Ligament,” Societe de Biomecanique, Actes du 23ème Congres, INSA, Lyon, France, p. 203.
Natali, A., Pavan, P., Pini, M., and Ronchi, R., 2000, “Numerical Analysis of Short Time Response of Periodontal Ligament,” Proc. 12th Conference of the European Society of Biomechanics, Dublin, Ireland.
Goland,  M., and Reissner,  E., 1944, “The Stresses in Cemented Joints,” J. Appl. Mech., 11, pp. A17–A27.
Jones,  J. P., and Whittier,  J. S., 1967, “Waves at a Flexibly Bonded Interface,” ASME Trans. J. Appl. Mech., 34, pp. 905–909.
Klarbring,  A., 1991, “Derivation of a Model of Adhesively Bonded Joints by the Asymptotic Expansion Method,” Int. J. Eng. Sci., 29, pp. 493–512.
Truesdell, C. A., and Noll, W., 1965, “The Non-Linear Field Theories of Mechanics,” in Handbuch der Physik, S. Flügge, ed., Vol. III/3, Springer-Verlag, Berlin.
Needleman,  A., 1990, “An Analysis of Tensile Decohesion Along an Interface,” J. Mech. Phys. Solids, 38, pp. 289–324.
Hibbitt, Karlsson & Sorensen, 2001, “ABAQUS User’s Manuals,” Release 6.2, Pawtucket, RI, USA.
Corradi, L., and Genna, F., 2002, “Finite Element Analysis of the Jaw-Teeth/Dental Implant System: A Note About Geometrical and Material Modeling,” Computer Modeling in Engineering and Sciences, to appear.
Goodman, R. E., Taylor, R. L., and Brekke, T. L. 1968, “A Model for the Mechanics of Jointed Rock,” Journal of Soil Mechanics and Foundation Division, Proceedings of the ASCE, 94 , pp. 637–659.
Meijer,  H. J. A., Starmans,  F. J. M., Steen,  W. H. A., and Bosman,  F., 1993, “A Three-Dimensional, Finite-Element Analysis of Bone Around Dental Implants in an Edentulous Human Mandible,” Arch. Oral Biol., 38, pp. 491–496.
Jäger, K., and Dietrich, H., 1991, “Measuring Masticatory Forces with Strain Gages,” RAM, 7 , pp. 39–42.
Perelmuter, M. N., 2001, “Development of a Micromechanically Based Interface Law for the Periodontal Ligament,” Internal Report, Landau Network–Centro Volta Fellowship, Department of Civil Engineering, University of Brescia, Italy.
Salvadori, A., 2000, “Symmetric Galerkin BEM for Domains Connected by Cohesive Interfaces: Formulation and Implementation,” Proc. XIII Convegno Italiano di Meccanica Computazionale, Brescia, Italy, 13–15 November 2000.

Figures

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Sketch of two continuous bodies in contact through the interface Ξ
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Experimental 8 and proposed (Eqs. (10) and (11)) stress-strain curves for a uniaxial traction/compression test
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Experimental 9 and proposed (Eqs. (17) and (18)) stress-strain curves for a shear test
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Numerical model for the three-dimensional simulations. The model has 10092 nodes and 41996 elements, of which 37789 tetrahedral 4-noded elements and 4207 interface elements.
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von Mises equivalent stress: axial loading, PDL treated as a perfect interface
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von Mises equivalent stress: axial loading, PDL simulated by means of the proposed nonlinear interface element
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von Mises equivalent stress: transverse loading, PDL treated as a perfect interface
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von Mises equivalent stress: transverse loading, PDL simulated by means of the proposed nonlinear interface element
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Tooth mobility curves in compression: the symbols refer to experimental results for a molar 6 and an upper incisor 7, the lines to our simulations. The solid thick line has been obtained by using the proposed nonlinear interface model; the others by using linear interfaces as indicated.
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Tensile axial load—axial displacement curve obtained from the numerical simualtion of the extraction of the frontal incisor, mesh of Fig. 4

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