[1]
|
Bens?e, M.P. and Sigmund, O. (2003) Topology optimization—Theory, methods and applications. Springer-Verlag, BH.
|
[2]
|
Huiskes, R. (2000) If bone is the answer, then what is the question? Journal of Anatomy, 197, 145-156.
doi:10.1046/j.1469-7580.2000.19720145.x
|
[3]
|
Bagge, M. (2000) A model of bone adaptation as an optimization process. Journal of Biomechanics, 33, 1349-1357. doi:10.1016/S0021-9290(00)00124-X
|
[4]
|
Fernandes, P., Rodrigues, H. and Jacobs, C. (1999) A model of bone adaptation using a global optimisation criterion based on the trajectorial theory of wolff. Computer Methods in Biomechanics and Biomedical Engineering, 2, 125-138. doi:10.1080/10255849908907982
|
[5]
|
Fernandes, P., Guedes, J.M. and Rodrigues, H. (1999) Topology optimization of 3D linear elastic structures with a constraint on perimeter. Computers & Structures, 73, 583-594. doi:10.1016/S0045-7949(98)00312-5
|
[6]
|
Fernandes, P.R., Folgado, J., Jacobs, C. and Pellegrini, V. (2002) A contact model with ingrowth control for bone remodelling around cementless stems. Journal of Biomechanics, 35, 167-176.
doi:10.1016/S0021-9290(01)00204-4
|
[7]
|
Folgado, J., Fernandes, P.R., Guedes, J.M. and Rodrigues, H. (2004) Evaluation of osteoporotic bone quality by a computational model for bone remodelling. Computers & Structures, 82, 1381-1388.
doi:10.1016/j.compstruc.2004.03.033
|
[8]
|
Stolk, J., Verdonschot, N. and Huiskes, R. (2001) Hip joint and abductor-muscle forces adequately represent in vivo loading of a cemented total hip reconstruction. Journal of Biomechanics, 34, 917-926.
doi:10.1016/S0021-9290(00)00225-6
|
[9]
|
Waide, V., Cristofolini, L., Stolk, J., Verdonschot, N. and Toni, A. (2003) Experimental investigation of bone remodeling using composite femurs. Clinical Biomechanics, 18, 523-536. doi:10.1016/S0268-0033(03)00072-X
|
[10]
|
Viceconti, M., Cavalloti, G., Andrisano, A.O. and Toni, A. (1995) Discussion on the design of a hip joint simulator. Medical Engineering & Physics, 18, 234-240.
doi:10.1016/1350-4533(95)00026-7
|
[11]
|
Viceconti, M., Muccini, R., Bernakiewicz, M., Baleani, M. and Cristofolini, L. (2000) Large-sliding contact elements accurately predict levels of bone-implant micromotion relevant to osseointegration. Journal of Biomechanics, 33, 1611-1618.
doi:10.1016/S0021-9290(00)00140-8
|
[12]
|
Viceconti, M., Pancanti, A., Dotti, M., Traina, F., Cristofolini, L. (2004) Effect of the initial implant fitting on the predicted secondary stability of a cementless stem. Medical and Biological Engineering and Computing, 42, 222-229. doi:10.1007/BF02344635
|
[13]
|
Viceconti, M., Ricci, S., Pancanti, A. and Cappello, A. (2004b) Numerical model to predict the long-term mechanical stability of cementless orthopaedic implants. Medical and Biological Engineering and Computing, 42, 747-753. doi:10.1007/BF02345207
|
[14]
|
Moreo, P., Péreza, M.A., García-Aznar, J.M. and Doblaré, M. (2007) Modelling the mechanical behaviour of living bony interfaces. Computer Methods in Applied Mechanics and Engineering, 196, 3300-3314.
doi:10.1016/j.cma.2007.03.020
|
[15]
|
Reina, E., Gómez-Benito, M.J., Garcia-Aznar, J.M., Dominguez, J. and Doblaré, M. (2007) Modelo computacional de distracción ósea. Proceeding of CEMNI/ CILAMCE Conference, Sociedad Espa?ola de Métodos Numéricos en Ingeniería (SEMNI), CD-ROM paper 132, 1-10.
|
[16]
|
Reina, E., Gómez-Benito, M.J., Garcia-Aznar, J.M., Dominguez, J. and Doblaré, M. (2008) Modeling distraction osteogenesis: Analysis of the distraction rate. Biomechanics and Modeling in Mechanobiology, 8, 323-335.
|
[17]
|
Coelho, P., Fernandes, P.R., Guedes, J.M. and Rodrigues, H.C. (2008) A hierarchical model for concurrent material and topology optimization of three-dimensional structures. Structural and Multidisciplinary Optimization, 35, 107-115. doi:10.1007/s00158-007-0141-3
|
[18]
|
Coelho, P.G., Fernandes, P.R., Rodrigues, H.C., Cardoso, J.B. and Guedes, J.M. (2009) Numerical modeling of bone tissue adaptation—A hierarchical approach for bone apparent density and trabecular structure. Journal of Biomechanics, 42, 830-837.
doi:10.1016/j.jbiomech.2009.01.020
|
[19]
|
Hardy, D.C., Frayssinet, P., Guilhem, A., Lafontaine, M.A. and Delince, P.E. (1991) Bonding of hydroxyapatite-coated femoral prostheses. Histopathology of specimens from four cases. Journal of Bone & Joint Surgery, 73, 732-740.
|
[20]
|
Tonino, A.J., Therin, M. and Doyle, C. (1999) Hydroxyapatitecoated femoral stems. Histology and histomorphometry around five components retrieved at post mortem. Journal of Bone & Joint Surgery (British Volume), 81, 148-154. doi:10.1302/0301-620X.81B1.8948
|
[21]
|
Fernandes, P. (1998) Optimiza??o da Topologia de Estruturas Tridimensionais. PhD Thesis, Instituto Superior Técnico, UTL.
|
[22]
|
Oliveira, J.A., Pinho-da-Cruz, J.A., Andrade-Campos, A. and Teixeira-Dias, F. (2006) Modelling the elastic behaviour of composites materials with asymptotic expansion homogenisation. Proceeding of COMPTEST, 151-152.
|
[23]
|
Pinho-da-Cruz, J., Oliveira, J.A., Teixeira-Dias, F. (2009) Asymptotic homogenisation in linear elasticity. Part I: Mathematical formulation and finite element modelling. Computational Materials Science, 45, 1073-1080.
doi:10.1016/j.commatsci.2009.02.025
|
[24]
|
Oliveira, J.A., Pinho-da-Cruz, J. and Teixeira-Dias, F. (2009) Asymptotic homogenisation in linear elasticity. Part II: Finite element procedures and multiscale applications. Computational Materials Science, 45, 1081-1096.
doi:10.1016/j.commatsci.2009.01.027
|
[25]
|
ABAQUS version 6.7 user manual (2006) Hibbitt. Karlsson & Sorenson. Inc.
|
[26]
|
MSC.MARC (2005) Theory and User Information and User subroutines and special Routines. Msc. Software Corporation.
|
[27]
|
Svanberg, K. (1987) The method of moving asymptotes – A new method for structural optimization. International Journal for Numerical Methods in Engineering, 24, 358-373. doi:10.1002/nme.1620240207
|
[28]
|
Jee, W.S.S (1953) The skeletal tissues, histology: Cell & tissue biology. 5th Edition, Elsevier, Amsterdam.
|
[29]
|
Medical Multimedia group (1999) A Patient’s Guide to Artificial Hip Replacement.
http://www.tri-countyortho.com/mmg/pated/joints/hip/hip_replacement.html. Accessed 15 Jan 2008
|
[30]
|
Encyclo, online encyclopedia (2009)
www.ecyclo.co.uk, encyclo MMIX
|
[31]
|
Desmorat, B. (2007) Structural rigidity optimization with frictionless unilateral contact. International Journal of Solids and Structures, 44, 1132-1144.
doi:10.1016/j.ijsolstr.2006.06.010
|
[32]
|
Fancello, E.A. (2006) Topology optimization for minimum mass design considering local failure constraints and contact boundary conditions. Structural and Multidisciplinary Optimization, 32, 229-240.
doi:10.1007/s00158-006-0019-9
|
[33]
|
Folgado, J. (2004) Modelos computacionais para análise e projecto e próteses ortopédicas. PhD Thesis, IST-UTL.
|
[34]
|
Ramos, A. (2006) Estudo numérico e experimental de uma nova componente Femural da prótese de Anca Cimentada. PhD Thesis, Universidade de Aveiro.
|
[35]
|
Ramos, A., Fonseca, F. and Sim?es, J.A. (2006) Simulation of physiological loading in total hip replacements. Journal of Biomechanical Engineering, 128, 579-588.
doi:10.1115/1.2205864
|
[36]
|
Ramos, A. and Sim?es, J.A. (2006) Tetrahedral versus hexahedral finite elements in numerical modelling of the proximal femur. Medical Engineering & Physics, 28, 916-924. doi:10.1016/j.medengphy.2005.12.006
|
[37]
|
Egan, J.M. and Marsden, D.C. (2001) A spring network model for the analysis of load transfer and tissue reactions in intramedullary fixation. Clinical Biomechanics, 16, 71-79. doi:10.1016/S0268-0033(00)00070-X
|
[38]
|
Sadegh, A.M., Luo, G.M. and Cowin, S.C. (1993) Bone ingrowth: An application of the boundary element method to bone remodeling at the implant interface. Journal of Biomechanics, 26, 167-182.
doi:10.1016/0021-9290(93)90047-I
|
[39]
|
Spears, I.R., Pfleiderer, M., Schneider, E., Hille, E., Bergmannn, G. and Morlock, M.M. (2000) Interfacial conditions between a press-fit acetabulax cup and bone during daily activities: Implications for achieving bone in-growth. Journal of Biomechanics, 33, 1471-1477.
doi:10.1016/S0021-9290(00)00096-8
|
[40]
|
Keaveny, T. and Bartel, D. (1993) Mechanical consequences of bone ingrowth in a hip prosthesis inserted without cement. Journal of Bone & Joint Surgery, 77, 911-923.
|