A transversally isotropic elasto-damage constitutive model for the periodontal ligament

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 6, Issue 5-6, 2003, Pages 329-336

  Natali, A N ^a   Pavan, P G ^a   Carniel, E L ^a   Dorow, C ^b  

^a UNIVERSITY OF PADOVA   (Italy)

^b UNIVERSITY HOSPITAL ULM   (Germany)

Author keywords

Damage; Experimental testing; Hyperelasticity; Numerical modelling; Periodontal ligament; Transversal isotropy

Indexed keywords

DAMAGE; EXPERIMENTAL TESTING; HYPER-ELASTICITY; PERIODONTAL LIGAMENT; TRANSVERSAL ISOTROPY;

ANISOTROPY; BIOMECHANICS; CONSTITUTIVE MODELS; NUMERICAL MODELS; STRESS-STRAIN CURVES; TISSUE;

FINITE ELEMENT METHOD;

ANIMAL; ANISOTROPY; ARTICLE; BIOLOGICAL MODEL; COMPARATIVE STUDY; COMPUTER SIMULATION; CULTURE TECHNIQUE; ELASTICITY; EVALUATION; FINITE ELEMENT ANALYSIS; IN VITRO STUDY; INJURY; MECHANICAL STRESS; METHODOLOGY; PATHOPHYSIOLOGY; PERIODONTAL LIGAMENT; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; STIMULATION; SWINE; TENSILE STRENGTH; VALIDATION STUDY;

ANIMALS; ANISOTROPY; COMPUTER SIMULATION; CULTURE TECHNIQUES; ELASTICITY; FINITE ELEMENT ANALYSIS; MODELS, BIOLOGICAL; PERIODONTAL LIGAMENT; PHYSICAL STIMULATION; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; STRESS, MECHANICAL; SWINE; TENSILE STRENGTH;

EID: 4043057321     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255840310001639840     Document Type: Article

References (26)

1. Provatidis, C.G. (2000) "A comparative FEM-study of tooth mobility using isotropic and anisotropic models of the periodontal ligament", Med. Eng. Phys. 22, 359-370.
2. Tanne, K. and Sakuda, M. (1983) "Initial stress induced in the periodontal tissue at the time of the application of various types of orthodontic force: three dimensional analysis by means of the Finite Element Method", J. Osaka Univ. Dent. Sch. 23, 143-171.
3. Körber, K.H. and Körber, E. (1962) "Die elastische Deformierung menschlicher Zähne", Dtsch Zahnärztl Z 17, 81-87.
4. Picton, D.C.A. (1965) "On the part played by the socket in tooth support", Arch. Oral. Biol. 10, 945-955.
5. Andersen, K.L., Pedersen, E.H. and Melsen, B. (1991) "Material parameters and stress profiles within the periodontal ligament", Am. J. Orthod. Dentofacial Orthop. 99, 427-440.
6. Burstone, C.J. (1962) "The biomechanics of tooth movement", Vistas in Orthodontics (Lea&Fiebiger, Philadelphia).
7. McGuiness, N.J.P., Wilson, A.N., Jones, M.L. and Middleton, J. (1991) "A stress analysis of the periodontal ligament under various orthodontic loadings", Eur. J. Orthod. 13, 231-242.
8. Middleton, J., Jones, M.L. and Wilson, A.N. (1996) "The role of the periodontal ligament in bone remodelling: the initial development of a time-dependent finite element model", Am. J. Orthod. Dentofacial Orthop. 109, 155-162.
9. Tanne, K., Koenig, H.A., Burstone, C.J. and Sakuda, M. (1989) "Effect of moment to force ratios on stress patterns and levels in the PDL", J. Osaka Univ. Dent. Sch. 29, 9-16.
10. Berkovitz, B.K.B., Moxham, B.J. and Newman, H.N. (1995) The Periodontal Ligament in Health and Disease, 2nd Ed. (Mosby-Wolfe, London).
11. Schroeder, H.E. (2000) Orale Strukturbiologie, 5th Ed. (Thieme Verlag, Stuttgart).
12. Chiba, M. and Komatsu, K. (1993) "Mechanical responses of the periodontal ligament in the transverse section of the rat mandibular incisor at various velocities of loading", J. Biomech. 26, 561-570.
13. Shackleford, J.M. (1971) "Scanning electron microscopy of the dog periodontium", J. Periodont. Res. 6, 45-54.
14. Sloan, P. (1978) "Scanning electron microscopy of the collagen fibre architecture of the rabbit incisor periodontium", Arch. Oral Biol. 23, 567-572.
15. Komatsu, K. and Viidik, A. (1996) "Changes in the fibre arrangement of the rat incisor periodontal ligament in relation to various loading levels in vitro", Arch. Oral Biol. 41, 147-159.
16. Dorow, C., Krstin, N. and Sander, F.G. (2003) "Determination of the mechanical properties of the periodontal ligament in a uniaxial tensional experiment", J. Orofac. Orthop. 64, 100-107.
17. Sanjeevi, R.A. (1982) "Viscoelastic model for the mechanical properties of biological materials", J. Biomech. 15, 107-109.
18. Picton, D.C.A. (1988) "Distribution of collagen fibres in the periodontal ligament and their role in tooth support", Periodont. Today Int. Congr. Zürich, 24-31.
19. Fung, Y.C.B. (1993) Biomechanics, 2nd Ed. (Springer-Verlag, New York).
20. Spencer, A.J.M. (1984) Continuum Theory of the Mechanics of Fibre-Reinforced Composites (Springer, New York).
21. Weiss, J.A., Maker, B.N. and Govindjee, S. (1995) "Finite element implementation of incompressible, transversely isotropic hyperelasticity", Comp. Methods Appl. Mech. Eng. 135, 107-128.
22. Flory, P.J. (1961) "Thermodynamic relations for high elastic materials", Trans. Farady Soc. 57, 829-838.
23. Hokanson, J. and Yazdani, S. (1996) "A constitutive model of the artery with damage", Mech. Res. Commun. 24(2), 151-159.
24. Liao, H. and Belkoff, S.M. (1998) "A failure model for ligaments", J. Biomech. 32, 183-188.
25. Sasaki, N. and Odajima, S. (1996) "Elongation mechanism of collagen fibrils and force-strain relations of tendon at each level of structural hierarchy", J. Biomech. 29(9), 1131-1136.
26. Dorow, C., Krstin, N. and Sander, F.G. (2002) "Experiments to determine the material properties of the periodontal ligament", J. Orofac. Orthop. 63, 94-104.