[1] Huiskes R, Ruimerman R, Van Lenthe G H, Janssen J D. Effects of mechanical forces on maintenance and adaptation of form in trabecular bone. Nature, 2000, 405, 704–706.
[2] Gong H, Zhu D, Gao J, Lv L, Zhang X. An adaptation model for trabecular bone at different mechanical levels. Biomedical Engineering Online, 2010, 9, 32.
[3] Frost H M. Skeletal structural adaptations to mechanical usage (SATMU): 1. Redefining Wolff’s law: The bone modeling problem. Anatomical Record, 1990a, 226, 403–413.
[4] Frost H M. Skeletal structural adaptations to mechanical usage (SATMU): 2. Redefining Wolff’s law: The remodeling problem. Anatomical Record, 1990b, 226, 414–422.
[5] Mullender M G, Huiskes R, Weinans H. A physiological approach to the simulation of bone remodeling as a self-organizational control process. Journal of Biomechanics, 1994, 27, 1389–1394.
[6] Ruimerman R, Van Rietbergen B, Hilbers P, Huiskes R. A 3-dimensional computer model to simulate trabecular bone metabolism. Biorheology, 2003, 40, 315–320.
[7] Zhu X H, Gong H, Zhu D, Gao B Z. A study of the effect of non-linearities in the equation of bone remodeling. Journal of Biomechanics, 2002, 35, 951–960.
[8] Gong H, Zhu XH. The numerical simulation of osteophyte formation on the edge of the vertebral body using quantitative bone remodeling theory. Joint Bone Spine, 2006, 73, 95–101.
[9] Hedia H S. Design of functionally graded dental implant in the presence of cancellous bone. Journal of Biomedical Materials Research Part B: Applied Biomaterials, 2007, 75, 74–80.
[10] Lin D, Li Q, Li W, Swain M. Bone remodeling induced by dental implants of functionally graded materials. Journal of Biomedical Materials Research Part B: Applied Biomaterials, 2010, 92, 430–438.
[11] Nemat-Alla M. Reduction of thermal stresses by developing two-dimensional functionally graded materials. International Journal of Solids and Structures, 2003, 40, 7339–7356.
[12] Hedia H S, Shabara M A N, El-Midany T T, Fouda N. Improved design of cementless hip stems using two-dimensional functionally graded materials. Journal of Biomedical Materials Research Part B: Applied Biomaterials, 2006, 79, 42–49.
[13] Kuiper J H, Huiskes R. Mathematical optimization of elastic properties: Application to cementless hip stem design. Journal of Biomechanical Engineering, 1997, 119, 166–174.
[14] Hedia H S, Shabara M A N, El-Midany T T, Fouda N. A method of material optimization of cementless stem through functionally graded material. International Journal of Mechanics and Materials in Design, 2004, 1, 329–346.
[15] Gruen T A, McNeice G M, Amstutz H C. Models of failure of cemented stem-type femoral components, a radiographic analysis of loosening. Clinical Orthopaedics, 1979, 141, 17–27.
[16] Issartel J P, Richon D, Sandoz N. Method for Manufacturing Articles of Functionally Gradient Material, EPO Patent EP0452275, France, 1991.
[17] Zhu X H, Gong H, Gao B Z. The application of topology optimization on the quantitative description of the external shape of bone structure. Journal of Biomechanics, 2005, 38, 1612–1620.
[18] Lin C C, Huang L C, Shen P. Na2CaSi2O6-P2O5 based bioactive glasses. Part 1: Elasticity and structure. Journal of Non-Crystalline Solids, 2005, 351, 3195–3203.
[19] Carter D R, Hayes W C. The behavior of bone as a two-phase porous structure. Journal of Bone and Joint Surgery, 1977, 59A, 954–962.
[20] Katz J L. Hard tissue as a composite material. I. Bounds on the elastic behavior. Journal of Biomechanics, 1971, 4, 455–473.
[21] Aspden R M. Fibre reinforcing by collagen in cartilage and soft connective tissues. Proceedings: Biological Sciences, 1994, 258, 195–200.
[22] Gayathri Devi A V, Rajendran V, Rajendran V. Ultrasonic characterization of calcium phosphate glasses and glass-ceramics with addition of TiO2. International Journal of Engineering Science and Technology, 2010, 2, 2483–2490.
[23] Turner C H, Anne V, Pidaparti R M V. Auniform strain criterion for trabecular bone adaptation: do continuum-level strain gradients drive adaptation? Journal of Biomechanics, 1997, 30, 555–563.
[24] Weinans H, Huiskes R, Grootenboer H J. The behavior of adaptive bone-remodeling simulation models. Journal of Biomechanics, 1992, 25, 1425–1441.
[25] Brodner W, Bitzan P, Lomoschitz F, Krepler P, Jankovsky R, Lehr S, Kainberger F, Gottsauner-Wolf F. Changes in bone mineral density in the proximal femur after cementless total hip arthroplasty – a five-year longitudinal study. The Journal of Bone and Joint Surgery, 2004, 86B, 20–26.
[26] Wolff J L. The Law of Bone Remodeling, translated by Marquet P, Furlong R, Springer, Berlin, Germany, 1986.