Abstract
The paper deals with the stress/strain analysis of an artificial knee joint. Three cases, where femoral part of the knee joint part is cut across under 3, 5 and 7 degrees, are analysed. Finite element method and the nonoverlapping decomposition technique for the contact problem in elasticity are applied. Numerical experiments are presented and discussed.
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References
Daněk, J.: Domain decomposition algorithm for solving contact of elastic bodies. In: Sloot, P.M.A., Tan, C.J.K., Dongarra, J., Hoekstra, A.G. (eds.) ICCS-ComputSci 2002. LNCS, vol. 2331, p. 820. Springer, Heidelberg (2002)
Daněk, J., Hlaváček, I., Nedoma, J.: Domain decomposition for generalized unilateral semi-coercive contact problem with friction in elasticity (2003) (to appear)
Hlaváček, I.: Domain decomposition applied to a unilateral contact of elastic bodies. Technical Report No 785, Institute of Computer Science AS CR, Prague (1999)
Hlaváček, I., Haslinger, J., Nečas, J., Lovíšek, J.: Solution of Variational Inequalities in Mechanics Appl. Math. Sci., vol. 66. Springer, New York (1988)
Hlaváček, I., Nedoma, J.: On a solution of a generalized semi-coercive contact problem in thermo-elasticity. Mathematics and Computers in Simulation 60, 1–17 (2002)
LeTallec, P.: Domain decomposition methods in computational mechanics. Comput. Mech. Advances 1, 121–220 (1994)
Nedoma, J.: Mathematical Modelling in Bio-Mechanics. Bone - and Vascular Implant Systems. Habilitation Thesis. ICS AS CR, Prague (1993)
Nedoma, J., Bartoš, M., Hornátová, H., Kestřánek, Z., Stehlík, J.: Numerical analysis of the loosened total hip replacement (THR). Mathematics and Computers in Simulation 60, 119–127 (2002)
Nedoma, J., Klézl, Z., Fousek, J., Kestřánek, Z., Stehl´ık, J.: Numerical simulation of some biomechanical problems. Mathematics and Computers in Simulation 61, 283–295 (2003)
Nedoma, J., Hlaváček, I., Daněk, J., Vavřík, P., Stehlík, J., Denk, F.: Some recent results on a domain decomposition method in biomechanics of human joints. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds.) ICCSA 2003. LNCS, vol. 2667, Springer, Heidelberg (2003)
Pavarino, L.F., Toselli, A.: Recent Developments in Domain Decomposition Methods. Lecture Notes in Comput. Sci. Eng, vol. 23. Springer, Heidelberg (2002)
Stehlík, J., Nedoma, J.: Mathematical simulation of the function of great human joints and optimal designs of their artificial replacements. Technical Report. V-406/407. ICS AS CR, Prague (1989) (in Czech)
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Daněk, J., Denk, F., Hlaváček, I., Nedoma, J., Stehlík, J., Vavřík, P. (2004). On the Stress-Strain Analysis of the Knee Replacement. In: Laganá, A., Gavrilova, M.L., Kumar, V., Mun, Y., Tan, C.J.K., Gervasi, O. (eds) Computational Science and Its Applications – ICCSA 2004. ICCSA 2004. Lecture Notes in Computer Science, vol 3044. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24709-8_49
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DOI: https://doi.org/10.1007/978-3-540-24709-8_49
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22056-5
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