Determination of Young's modulus of mandibular bone using inverse analysis.

Development of a numerical model applicable to clinical practice, and in particular oral implantology, requires knowledge of the mechanical properties of mandibular bone. The wide range of mechanical parameters found in the literature prompted us to develop an inverse analysis method that takes into account the exact geometry of each specimen tested, regardless of its shape. The Young's modulus of 3000MPa we determined for mandibular bone using this approach is lower than the values reported in the literature. This difference can be explained by numerous experimental factors, related in particular to the bone specimens used. However, the main reason is that, unlike most previously published papers on the subject, the heterogeneity of bone led us to select a specimen size at the upper end of the scale, close to clinical reality.

[1]  D R Carter,et al.  Mechanical properties and composition of cortical bone. , 1978, Clinical orthopaedics and related research.

[2]  W C Hayes,et al.  Fatigue life of compact bone--I. Effects of stress amplitude, temperature and density. , 1976, Journal of biomechanics.

[3]  Robert D. Ray,et al.  EXPERIMENTAL COMPARISON OF LIVING AND DEAD BONE IN RATS , 1965 .

[4]  Bhushan Borotikar,et al.  Mechanical characteristics of the mandible after bilateral sagittal split ramus osteotomy: comparing 2 different fixation techniques. , 2005, Journal of oral and maxillofacial surgery : official journal of the American Association of Oral and Maxillofacial Surgeons.

[5]  Guillaume Odin,et al.  Apport de la mthode des lments finis en chirurgie maxillofaciale , 2009 .

[6]  Ivan Hvid,et al.  Energy absorptive properties of human trabecular bone specimens during axial compression , 1989, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[7]  Y Tillier,et al.  [Contribution of the finite element method in maxillofacial surgery]. , 2009, Revue de stomatologie et de chirurgie maxillo-faciale.

[8]  T. Keaveny,et al.  Systematic and random errors in compression testing of trabecular bone , 1997, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[9]  Yannick Tillier,et al.  Identification of magnetic parameters by inverse analysis coupled with finite-element modeling , 2002 .

[10]  Y Tillier,et al.  Finite element modeling for soft tissue surgery based on linear and nonlinear elasticity behavior , 2006, Computer aided surgery : official journal of the International Society for Computer Aided Surgery.

[11]  William J. Chancellor,et al.  Soil Physical Properties , 1994 .

[12]  S. Cowin Bone mechanics handbook , 2001 .

[13]  F. Linde,et al.  The effect of different storage methods on the mechanical properties of trabecular bone. , 1993, Journal of biomechanics.

[14]  W. Bonfield,et al.  The temperature dependence of the deformation of bone. , 1968, Journal of biomechanics.

[15]  J A Kieser,et al.  Mandibular stiffness in humans: numerical predictions. , 2006, Journal of biomechanics.

[16]  M. Fortin,et al.  A stable finite element for the stokes equations , 1984 .

[17]  Tsutomu Nomura,et al.  Micromechanics/structure relationships in the human mandible. , 2003, Dental materials : official publication of the Academy of Dental Materials.

[18]  K Nakajima,et al.  [An experimental study on the dynamic traits of dehydrated mandibles in relation to Yang's modulus and Poisson's ratio of compact bone]. , 1984, Shika gakuho. Dental science reports.

[19]  P. Dechow,et al.  Variations in cortical material properties throughout the human dentate mandible. , 2003, American journal of physical anthropology.

[20]  Y. Ide,et al.  Properties of the elastic modulus from buccal compact bone of human mandible. , 1996, The Bulletin of Tokyo Dental College.

[21]  Martine Wevers,et al.  Structural and radiological parameters for the characterization of jawbone. , 2006, Clinical oral implants research.

[22]  R. B. Ashman,et al.  A comparison between cancellous bone compressive moduli determined from surface strain and total specimen deflection , 1991 .

[23]  T Sato,et al.  Mechanical properties of buccal compact bone of the mandibular ramus in human adults and children: relationship of the elastic modulus to the direction of the osteon and the porosity ratio. , 1998, The Bulletin of Tokyo Dental College.

[24]  B B Seedhom,et al.  Quality assessment of the cortical bone of the human mandible. , 2003, Bone.

[25]  P. Dechow,et al.  Edentulation Alters Material Properties of Cortical Bone in the Human Mandible , 2002, Journal of dental research.

[26]  K. Un,et al.  The effects of side-artifacts on the elastic modulus of trabecular bone. , 2006, Journal of biomechanics.

[27]  D Mitton,et al.  Apparent Young's modulus of human radius using inverse finite-element method. , 2007, Journal of biomechanics.

[28]  M W Bidez,et al.  Mechanical properties of trabecular bone in the human mandible: implications for dental implant treatment planning and surgical placement. , 1999, Journal of oral and maxillofacial surgery : official journal of the American Association of Oral and Maxillofacial Surgeons.

[29]  R. D. Ray,et al.  An experimental comparison of living and dead bone in rats. I. Physical properties. , 1962, The Journal of bone and joint surgery. British volume.