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IssuesArchive of Issues2013-4pp.439-449

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G.M. Anferov, I.G. Goryacheva, A.N. Lyubicheva, I.A. Soldatenkov, Fong-Chin Su, and Chih-Han Chang, "Modeling of the Stress State of the Thumb Carpometacarpal Joint," Mech. Solids. 48 (4), 439-449 (2013)
Year 2013 Volume 48 Number 4 Pages 439-449
DOI 10.3103/S0025654413040122
Title Modeling of the Stress State of the Thumb Carpometacarpal Joint
Author(s) G.M. Anferov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia)
I.G. Goryacheva (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, goryache@ipmnet.ru)
A.N. Lyubicheva (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, lyubicheva@mail.ru)
I.A. Soldatenkov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, isoldat@mail.ru)
Fong-Chin Su (National Cheng Kung University, 138 Shengli road, Tainan, 70403 Taiwan)
Chih-Han Chang (National Cheng Kung University, University road 1, Tainan, 70101 Taiwan)
Abstract The stress state of the carpometacarpal joint (CMJ) was studied in sound and pathologic states by methods of continuum mechanics. The CMJ geometric model was constructed according to the results of computer processing of the data of tomographic investigations in the extension position, which were obtained at Cheng Kung Medical University (Taiwan). The study of contact interactions in the CML region for a given geometry were performed numerically in the ABAQUS program code. The obtained numerical solutions of contact problems permit comparatively analyzing the stress distribution in the bone tissue for various thumb positions and study the stress state dependence on the bone tissue porosity (osteoporosis), which varies with human age.
Keywords carpometacarpal joint, contact interaction, stress state, osteoporosis
References
1.  G. A. Ateshian, J. W. Ark, M. P. Rosenwasser, et al., "Contact Areas in the Thumb Carpometacarpal Joint," J. Orthpaed. Res., 13 (3), 450-458 (1995).
2.  V. C. Mow and R. Huiskes, Basic Orthopaedic Biomechanics and Mechano-Biology (L W&W, Philadelphia, 2005).
3.  "A Patient's Guide to Artificial Joint Replacement of the Thumb," Publication in Internet. URL: http://www.proactivept.com/Injuries-Conditions/Hand/Surgery/Artificial-Joint- Replacement-of-the-Thumb-Proactive-Physical-Therapy-s-Guide/a 3917/article.html.
4.  I. G. Goryacheva, F. K. Antonov, G. M. Anferov, and A. N. Lyubicheva, "Modeling of Cartilaginous Interlayer on the Stress Strain State of the Thumb Carpometacarpal Joint," in Actual Problems of Mechanics, Vol. 1 (Tsakhkadzor, Armenia, 2012), pp. 172-181 [in Russian].
5.  G. Yang, J. Kabel, B. van Rietbergen, et al., "The Anisotropic Hooke's Law for Cancellous Bone and Wood," J. Elasticity 53 (2), 125-146 (1998).
6.  R. F. S. Hearmon, "The Elastic Constants of Anisotropic Materials," Rev. Modern Phys. 18 (3), 409-440 (1946).
7.  I. V. Kragelskii, M. N. Dobychin, and V. S. Kombalov, Friction and Wear: Calculation Methods (Mashinostroenie, Moscow, 1977; Pergamon, Oxford, 1982).
Received 06 March 2013
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