Influence of Bone Anisotropy on Stress Distribution and Optimum Shape of Cementless Femoral Implants
R.B. ASHMAN, S.C. COWIN, W.C. VAN BUSKIRK, J.C. RICE, A continuous wave technique for the measurement for the elastic properties of bone, Journal of Biomechanics, 17, 349–361, 1984.
D R. CARTER, T.E. ORR, D.P. FYHRIE, Relationships between loading history and femoral cancellous bone architecture, Journal of Biomechanics, 22, 231–244, 1989.
P.B. CHANG, B.J. WILLIAMS, T.J. SANTNER, W.I. NOTZ, D.L. BARTEL, Robust optimization of total joint replacements incorporating environmental variables, Transactions of the ASME, Journal of Biomechanical Engineering, 121, 304–310, 1999.
COWIN S.C. [Ed.], Bone mechanics, CRC Press, 1989.
L. CRISTOFOLINI, A critical analysis of stress-shielding evaluation of hip prostheses, Critical Reviews in Biomedical Engineering, 25, 409–483, 1997.
M. DING, Age variations in the properties of human tibial trabecular bone and cartilage, Ph.D. Thesis, University of Aarhus, Denmark, 1999.
A. GAŁKA, J.J. TELEGA, S. TOKARZEWSKI, Application of homogenization to evaluation of effective moduli of linear elastic trabecular bone with plate-like structure, Archives of Mechanics, 51, 335–355, 1999.
E.B.W. GIESEN, M. DING, M. DALSTRA, T.M.G.J. VAN EUDEN, Mechanical properties of cancellous bone in the human mandibular condyle are anisotropic, Journal of Biomechanics, 34, 799–803, 2001.
S.A. GOLDSTEIN, D.L. WILSON, D.A. SONSTEGARD, L.S. MATTHEWS, The mechanical properties of human tibial trabecular bone as a function of metaphyseal location, Journal of Biomechanics, 16, 965–969, 1983.
H.S. HEDIA, D.C. BARTON, J. FISHER, A. IBRAHIM, Shape optimisation of a Charnley prosthesis based on the fatigue notch factor, Bio-Medical Materials and Engineering, 6, 199–217, 1996.
HS. HEDIA, D. C. BARTON, J. FISHER, Material optimisation of the femoral component of a hip prosthesis based on the fatigue notch factor approach, Bio-Medical Materials and Engineering, 7, 83–98, 1997.
M.-C. HOBATHO, J.Y. RHO, R.B. ASHMAN, Anatomical variation of human cancellous bone mechanical properties in vitro, [in:) Bone Research in Biomechanics, G. LOWET et al., [Eds.], IOS Press, 1997.
R. HUISKES, R. BOEKLAGEN, Mathematical shape optimization of hip prosthesis design, Journal of Biomechanics, 22, 793–804, 1989.
R. HUISKES, H. WEINANS, B. VAN RIETBERGEN, The relationship between stress shielding and bone resorption around total hip stems and the effects of flexible materials, Clinical Orthopaedics and Related Research, 274, 124–134, 1992.
R. HUISKES, N. YERDONSCHOT, Biomechanics of artificial joints: the hip. [in:] V. C. Mow, W. C. HAYES [Eds.], Basic Orthopaedic Biomechanics, 2nd [ed.], pp. 395–460, Lippincott–Raven, Philadelphia, 1997.
M. KLEIBER, H. ANTUNEZ, T.D. HIEN, P. KOWALCZYK, Parameter sensitivity in non-linear mechanics, Wiley, Chichester, 1997.
P. KOWALCZYK, Finite-deformation interface formulation for frictionless contact problems, Communications in Numerical Methods in Engineering, 10, 879–893, 1994.
P. KOWALCZYK, Design optimization of cementless femoral hip prostheses using finite element analysis, Transactions of the ASME, Journal of Biomechanical Engineering, 123, 396–402, 2001.
P. KOWALCZYK, Parameterized elastic properties of cancellous bone derived from finite element models of microstructure cells, Submitted to Journal of Biomechanics, 36, 961–972, 2003.
J.H. KUIPER, R. HUISKES, Mathematical optimization of elastic properties: Application to cementless hip stem design, Transactions of the ASME, Journal of Biomechanical Engineering, 119, 166–174, 1997.
M. MARTENS, R. VAN AUDEKERCKE, P. DELPORT, P. DE MEESTER, J.C. MULIER, The mechanical characteristics of cancellous bone at the upper femoral region, Journal of Biomechanics, 16, 971–983, 1983.
R.M. PILLIAR, J.M. LEE, C. MANIATOPOULOS, Observation on the effect of movement on bone ingrowth into porous-surfaced implants, Clinical Orthopaedics and Related Research, 208, 108–113, 1986.
P.J. PRENDERGAST, Finite element models in tissue mechanics and orthopaedic implant design, Clinical Biomechanics, 12, 343–366, 1997.
D.T. REILLY, A.H. BURSTEIN, The elastic and ultimate properties of compact bone tissue, Journal of Biomechanics, 8, 393–405, 1975.
J.C. RICE, S.C. COWIN, J.A. BOWMAN, On the dependence of the elasticity and strength of cancellous bone on apparent density, Journal of Biomechanics, 21, 155–168, 1988.
B. VAN RIETBERGEN, H. WEINANS, R. HUISKES, A. ODGAARD, A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models, Journal of Biomechanics, 28, 69–81, 1995.
B. VAN RIETBERGEN, A. ODGAARD, J. KABEL, R. HUISKES, Relationships between bone morphology and bone elastic properties can be accurately quantified using high-resolution computer reconstructions, Journal of Orthopaedic Research, 16, 23–28, 1998.
K. SCHITTKOWSKI, NLQPL: A Fortran subroutine solving constrained nonlinear programming problems, Annals of Operations Research, 5, 1986, 485–500, 1986.
S. TOKARZEWSKI, J.J. TELEGA, A. GAŁKA, A contribution to evaluation of effective moduli of trabecular bone with rod-like microstructure, Journal of Theoretical and Applied Mechanics, 37, 707–728, 1999.
C.H. TURNER, J. RHO, Y. TAKANO, T.Y. TSUI, G. M. PHARR, The elastic properties of trabecular and cortical bone tissues are similar: results from two microscopic measurement techniques, Journal of Biomechanics, 32, 437–441, 1999.
D. ULRICH, B. VAN RIETBERGEN, A. LAIB, P. RUEGSEGGER, The ability of three-dimensional structural indices to reflect mechanical aspects of trabecular bone. Bone, 25, 55–60, 1999.
R.J. YANG, K.K. CHOI, R.D. CROWNINSHIELD, R.A. BRAND, Design sensitivity analysis: a new method for implant design and a comparison with parametric finite element analysis, Journal of Biomechanics, 17, 849–854, 1984.
H.S. YOON, J.L. KATZ, Ultrasonic wave propagation in human cortical bone. II. Measurement of elastic properties and micro-hardness, Journal of Biomechanics, 9, 459–464, 1976.
O.C. ZIENKIEWICZ, The finite element method, McGraw-Hill, 1977.