The periodontal ligament (PDL), as other soft biological tissues, shows a strongly non-linear and time-dependent mechanical response and can undergo large strains under physiological loads. Therefore, the characterization of the mechanical behavior of soft tissues entails the definition of constitutive models capable of accounting for geometric and material non-linearity. The microstructural arrangement determines specific anisotropic properties. A hyperelastic anisotropic formulation is adopted as the basis for the development of constitutive models for the PDL and properly arranged for investigating the viscous and damage phenomena as well to interpret significant aspects pertaining to ordinary and degenerative conditions. Visco-hyperelastic models are used to analyze the time-dependent mechanical response, while elasto-damage models account for the stiffness and strength decrease that can develop under significant loading or degenerative conditions. Experimental testing points out that damage response is affected by the strain rate associated with loading, showing a decrease in the damage limits as the strain rate increases. These phenomena can be investigated by means of a model capable of accounting for damage phenomena in relation to viscous effects. The visco-hyperelastic-damage model developed is defined on the basis of a Helmholtz free energy function depending on the strain-damage history. In particular, a specific damage criterion is formulated in order to evaluate the influence of the strain rate on damage. The model can be implemented in a general purpose finite element code. The accuracy of the formulation is evaluated by using results of experimental tests performed on animal model, accounting for different strain rates and for strain states capable of inducing damage phenomena. The comparison shows a good agreement between numerical results and experimental data.
Skip Nav Destination
Article navigation
June 2008
Research Papers
A Visco-Hyperelastic-Damage Constitutive Model for the Analysis of the Biomechanical Response of the Periodontal Ligament
Arturo N. Natali,
Arturo N. Natali
Centre of Mechanics of Biological Materials,
University of Padova
, Via F. Marzolo 9, Padova 1-35131, Italy
Search for other works by this author on:
Emanuele L. Carniel,
Emanuele L. Carniel
Centre of Mechanics of Biological Materials,
University of Padova
, Via F. Marzolo 9, Padova 1-35131, Italy
Search for other works by this author on:
Piero G. Pavan,
Piero G. Pavan
Centre of Mechanics of Biological Materials,
University of Padova
, Via F. Marzolo 9, Padova 1-35131, Italy
Search for other works by this author on:
Franz G. Sander,
Franz G. Sander
Poliklinik fuer Kieferorthopaedie,
University of Ulm
, Ulm 89073, Germany
Search for other works by this author on:
Christina Dorow,
Christina Dorow
Poliklinik fuer Kieferorthopaedie,
University of Ulm
, Ulm 89073, Germany
Search for other works by this author on:
Martin Geiger
Martin Geiger
Poliklinik fuer Kieferorthopaedie,
University of Ulm
, Ulm 89073, Germany
Search for other works by this author on:
Arturo N. Natali
Centre of Mechanics of Biological Materials,
University of Padova
, Via F. Marzolo 9, Padova 1-35131, Italy
Emanuele L. Carniel
Centre of Mechanics of Biological Materials,
University of Padova
, Via F. Marzolo 9, Padova 1-35131, Italy
Piero G. Pavan
Centre of Mechanics of Biological Materials,
University of Padova
, Via F. Marzolo 9, Padova 1-35131, Italy
Franz G. Sander
Poliklinik fuer Kieferorthopaedie,
University of Ulm
, Ulm 89073, Germany
Christina Dorow
Poliklinik fuer Kieferorthopaedie,
University of Ulm
, Ulm 89073, Germany
Martin Geiger
Poliklinik fuer Kieferorthopaedie,
University of Ulm
, Ulm 89073, GermanyJ Biomech Eng. Jun 2008, 130(3): 031004 (8 pages)
Published Online: April 22, 2008
Article history
Received:
October 24, 2006
Revised:
December 20, 2007
Published:
April 22, 2008
Citation
Natali, A. N., Carniel, E. L., Pavan, P. G., Sander, F. G., Dorow, C., and Geiger, M. (April 22, 2008). "A Visco-Hyperelastic-Damage Constitutive Model for the Analysis of the Biomechanical Response of the Periodontal Ligament." ASME. J Biomech Eng. June 2008; 130(3): 031004. https://doi.org/10.1115/1.2900415
Download citation file:
Get Email Alerts
Related Articles
Simple Shear Testing of Parallel-Fibered Planar Soft Tissues
J Biomech Eng (April,2001)
Synthetic Soft Tissue Characterization of the Mechanical Analogue Lumbar Spine
J. Med. Devices (June,2008)
Simulated Bioprosthetic Heart Valve Deformation under Quasi-Static Loading
J Biomech Eng (November,2005)
Related Proceedings Papers
Related Chapters
Introduction and Scope
High Frequency Piezo-Composite Micromachined Ultrasound Transducer Array Technology for Biomedical Imaging
Characterization of Tissue Viscoelasticity from Shear Wave Speed Dispersion
Biomedical Applications of Vibration and Acoustics in Imaging and Characterizations
Vibration Analysis of the Seated Human Body in Vertical Direction
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)