Viscoelastic Response of the Periodontal Ligament: An Experimental–Numerical Analysis

A viscoelastic constitutive model for the periodontal ligament (PDL) capable of accounting for large strains, anisotropy, and inelastic time-dependent effects was developed. Anisotropy characteristics are determined by the composite nature of the tissue and, in particular, by the distribution of collagen fibres. Time-dependent viscous phenomena are due to microstructural modifications during loading, such as fluid fluxes moving through the solid matrix and the internal rearrangement of fibers and constitutive adaptation. The viscoelastic model presented here was implemented in a general purpose finite element code. In vitro experimental tests were carried out on the PDL specimens of adult pigs to obtain stress-relaxation and cyclic stress-strain curves. The comparison of experimental and numerical results revealed good correspondence and confirmed the capability of the formulation assumed to properly interpret the viscoelastic behavior of the PDL.

[1]  D C Picton,et al.  An investigation of the viscoelastic properties of the periodontium in monkeys. , 1972, Journal of periodontal research.

[2]  Y Sato,et al.  Mechanics of periodontal ligament , 2003 .

[3]  Zvi Hashin,et al.  Continuum Theory of the Mechanics of Fibre-Reinforced Composites , 1984 .

[4]  Gerhard A. Holzapfel,et al.  A viscoelastic model for fiber-reinforced composites at finite strains: Continuum basis, computational aspects and applications , 2001 .

[5]  Bernhard A. Schrefler,et al.  A Multi-Phase Media Formulation for Biomechanical Analysis of Periodontal Ligament* , 2002 .

[6]  Hans R. Mühlemann,et al.  10 Years of Tooth‐Mobility Measurements , 1960 .

[7]  J. Weiss,et al.  Finite element implementation of incompressible, transversely isotropic hyperelasticity , 1996 .

[8]  V C Mow,et al.  A finite element analysis of the indentation stress-relaxation response of linear biphasic articular cartilage. , 1992, Journal of biomechanical engineering.

[9]  Christina Dorow,et al.  Determination of the Mechanical Properties of the Periodontal Ligament in a Uniaxial Tensional Experiment , 2003, Journal of Orofacial Orthopedics / Fortschritte der Kieferorthopädie.

[10]  Christina Dorow,et al.  FINITE ELEMENT SIMULATION OF IN VIVO TOOTH MOBILITY IN COMPARISON WITH EXPERIMENTAL RESULTS , 2003 .

[11]  B. K. B. Berkovitz,et al.  The Periodontal ligament in health and disease , 1982 .

[12]  A N Natali,et al.  A Transversally Isotropic Elasto-damage Constitutive Model for the Periodontal Ligament , 2003, Computer methods in biomechanics and biomedical engineering.

[13]  R P Franke,et al.  [Experiments to determine the time dependent material properties of the periodontal ligament]. , 2002, Biomedizinische Technik. Biomedical engineering.

[14]  R. P. Franke,et al.  Experimente zur Bestimmung der zeitabhängigen Materialeigenschaften des Parodontalligaments. Experiments to Determine Time-dependent Material Properties of the Periodontal Ligament , 2002 .

[15]  V. Mow,et al.  Biphasic creep and stress relaxation of articular cartilage in compression? Theory and experiments. , 1980, Journal of biomechanical engineering.

[16]  Alan W Eberhardt,et al.  Quasi-linear viscoelastic behavior of the human periodontal ligament. , 2002, Journal of biomechanics.

[17]  Christina Dorow,et al.  Experiments to Determine the Material Properties of the Periodontal Ligament , 2002, Journal of Orofacial Orthopedics / Fortschritte der Kieferorthopädie.

[18]  F. Sander,et al.  Experimentelle Untersuchung der Zahnbeweglichkeit am Menschen „in vivo“ , 2002 .