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A visco-hyperelastic-damage constitutive model for the analysis of the biomechanical response of the periodontal ligament.
J Biomech Eng. 2008 Jun; 130(3):031004.JB

Abstract

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.

Authors+Show Affiliations

Centre of Mechanics of Biological Materials, University of Padova, Padova, Italy.No affiliation info availableNo affiliation info availableNo affiliation info availableNo affiliation info availableNo affiliation info available

Pub Type(s)

Journal Article

Language

eng

PubMed ID

18532853

Citation

Natali, Arturo N., et al. "A Visco-hyperelastic-damage Constitutive Model for the Analysis of the Biomechanical Response of the Periodontal Ligament." Journal of Biomechanical Engineering, vol. 130, no. 3, 2008, p. 031004.
Natali AN, Carniel EL, Pavan PG, et al. A visco-hyperelastic-damage constitutive model for the analysis of the biomechanical response of the periodontal ligament. J Biomech Eng. 2008;130(3):031004.
Natali, A. N., Carniel, E. L., Pavan, P. G., Sander, F. G., Dorow, C., & Geiger, M. (2008). A visco-hyperelastic-damage constitutive model for the analysis of the biomechanical response of the periodontal ligament. Journal of Biomechanical Engineering, 130(3), 031004. https://doi.org/10.1115/1.2900415
Natali AN, et al. A Visco-hyperelastic-damage Constitutive Model for the Analysis of the Biomechanical Response of the Periodontal Ligament. J Biomech Eng. 2008;130(3):031004. PubMed PMID: 18532853.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - A visco-hyperelastic-damage constitutive model for the analysis of the biomechanical response of the periodontal ligament. AU - Natali,Arturo N, AU - Carniel,Emanuele L, AU - Pavan,Piero G, AU - Sander,Franz G, AU - Dorow,Christina, AU - Geiger,Martin, PY - 2008/6/6/pubmed PY - 2008/8/22/medline PY - 2008/6/6/entrez SP - 031004 EP - 031004 JF - Journal of biomechanical engineering JO - J Biomech Eng VL - 130 IS - 3 N2 - 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. SN - 0148-0731 UR - https://www.unboundmedicine.com/medline/citation/18532853/A_visco_hyperelastic_damage_constitutive_model_for_the_analysis_of_the_biomechanical_response_of_the_periodontal_ligament_ L2 - https://asmedigitalcollection.asme.org/biomechanical/article-lookup/doi/10.1115/1.2900415 DB - PRIME DP - Unbound Medicine ER -