On a Constitutive Material Model to Capture Time Dependent Behavior of Cortical Bone

Anders Halldin; Mats Ander; Magnus Jacobsson; Stig Hansson

doi:10.4236/wjm.2014.411034

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World Journal of Mechanics > Vol.4 No.11, November 2014

On a Constitutive Material Model to Capture Time Dependent Behavior of Cortical Bone ()

Anders Halldin^1,2*, Mats Ander³, Magnus Jacobsson^1,2, Stig Hansson²

¹Department of Prosthodontics, Faculty of Odontology, Malmo University, Malmo, Sweden.
²DENTSPLY Implants, Molndal, Sweden.
³Department of Applied Mechanics, Chalmers University of Technology, Goteborg, Sweden.

DOI: 10.4236/wjm.2014.411034 PDF HTML XML 3,854 Downloads 4,501 Views Citations

Abstract

It is commonly known that cortical bone exhibits viscoelastic-viscoplastic behavior which affects the biomechanical response when an implant is subjected to an external load. In addition, long term effects such as creep, relaxation and remodeling affect the success of the implant over time. Constitutive material models are commonly derived from data obtained in in vitro experiments. However during function, remodeling of bone greatly affects the bone material over time. Hence it is essential to include long term in vivo effects in a constitutive model of bone. This paper proposes a constitutive material model for cortical bone incorporating viscoelasticity, viscoplasticity, creep and remodeling to predict stress-strain at various strain rates as well as the behavior of bone over time in vivo. The rheological model and its parameters explain the behavior of bone subjected to longitudinal loading. By a proper set of model parameters, for a specific cortical bone, the present model can be used for prediction of the behavior of this bone under specific loading conditions. In addition simulation with the proposed model demonstrates excellent agreement to in vitro and in vivo experimental results in the literature.

Keywords

Cortical bone Viscoelastic-Viscoplastic Creep Remodeling Constitutive Model

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Halldin, A. , Ander, M. , Jacobsson, M. and Hansson, S. (2014) On a Constitutive Material Model to Capture Time Dependent Behavior of Cortical Bone. World Journal of Mechanics, 4, 348-361. doi: 10.4236/wjm.2014.411034.

Conflicts of Interest

The authors declare no conflicts of interest.

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