Analytic solution for the indentation of a transversely isotropic elastic layer bonded to a rigid foundation

Latin American Applied Research

Volumn 35, Issue 3, 2005, Pages 167-173

  Cortes, D H ^a   Garcia, J J ^a  

^a UNIVERSIDAD DEL VALLE   (Colombia)

Author keywords

Articular cartilage; Indentation; Osteoarthrosis; Transversely isotropic

Indexed keywords

BONE; BOUNDARY CONDITIONS; CARTILAGE; ELASTICITY; JOINTS (ANATOMY); PROBLEM SOLVING; RIGIDITY; STRESS CONCENTRATION;

ARTICULAR CARTILAGE; LINEAR ANISOTROPIC MATERIALS; OSTEOARTHROSIS; TRANSVERSELY ISOTROPIC;

INDENTATION;

EID: 18944381707     PISSN: 03270793     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. Cohen, B., T.R. Gradner and G.A. Ateshian, "The influence of transverse isotropy on cartilage indentation behavior. A study on the human humeral head," Trans. Aorthop. Res. Soc., 18, 185 (1993).
2. th Annual Meeting Orthopaedic Research Society, (1998).
3. Garcia, J.J., N.J. Altiero and R:C. Haut, "An approach for the stress analysis of transversely isotropic biphasic cartilage under impact load," Journal of Biomechanical Engineering, 120, 608-613, (1998).
4. García, J.J., N.J. Altiero and R.C. Haut, "Estimation of in situ elastic properties of biphasic cartilage based on a transversely isotropic hypo-elastic model," Journal of Biomechanical Engineering, 122, 1-8, (2000).
5. Hara, T., T. Akiyama, T. Shibuya and T. Koisumi, "An axisymmetric contact problem of an elastic layer on a rigid base with a cylindrical hole," JSME Int. Journal, 33, 461, (1990).
6. Hayes W.C., L.M. Keer, G. Herrmann and L.F. Mockros, "A mathematical analysis for indentation tests of articular cartilage," J. Biomechanics, 5, 541-551, (1972)
7. Lekhnitskii, S.G.: Theory of elasticity of an anisotropic body, MIR Publishers, Moscow (1981)
8. MacKenzie, E.J., J.H. Siegel and S. Shapiro, "Functional recovery and medical cost of trauma: an analysis by the type and severity of injury," Journal of Trauma, 28, 281-298, (1988).
9. Mow, V.C., S.C. Kuei, W.M. Lai and C.G. Armstrong, "Biphasic creep and stress relaxation of articular cartilage: Theory and experiment," Journal of Biomechanics, 102, 73-84, (1980).
10. Mow, V.C., M.C. Gibbs, W.M. Lai, W.B. Zhu and K.A. Athanasiou, "Biphasic indentation of articular cartilage. II. A numerical algorithm and an experimental study," Journal of Biomechanics, 22, 853-861, (1989).
11. Newberry, W.N., J.J. Garcia, C.D. Mackenzie, C.E. Decamp and R.C., Haut, "Analysis of acute mechanical insult in an animal model of post-traumatic osteoarthrosis," Journal of Biomechanical Engineering, 120, 704-709, (1998).
12. Sakamoto, M., T. Kara, T. Shibuya and T. Koizumi, "Indentation by a circular rigid punch of an transversely isotropic layer on a rigid foundation," JSME international Journal, Serie I, 34, 130-134, (1991).
13. Töiräs, J., T. Lyyra-Laitinen, R. Niinimäki, M.T. Lindgren, M.T. Nieminen, I. Kirivanta and J.S. Jurvelin, "Estimation of the Young's modulus of articular cartilage using an arthroscopic indentation instrument and ultrasonic measurement of tissue tichness," Journal of Biomechanics, 34, 251-256, (2001).
14. Wang, C.C-B., N.O. Chahine., C.T. Hung and G.A. Ateshian, "Optical determination of anisotropic properties of bovine articular cartilage in compression," Journal of Biomechanics, 36, 339-353, (2003).