On some properties of bone functional adaptation phenomenon useful in mechanical design

• Autorzy: Nowak M.
• Języki publikacji: EN

Abstrakty

EN

The paper discusses some unique properties of trabecular bone functional adaptation phenomenon, useful in mechanical design. On the basis of the biological process observations and the principle of constant strain energy density on the surface of the structure, the generic structural optimisation system has been developed. Such approach allows fulfilling mechanical theorem for the stiffest design, comprising the optimisations of size, shape and topology, using the concepts known from biomechanical studies. Also the biomimetic solution of multiple load problems is presented.

Słowa kluczowe

EN

structural optimisation; trabecular bone remodelling; biomimetics

PL

optymalizacja strukturalna; przebudowa kości; biomechanika

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Acta of Bioengineering and Biomechanics
• Rocznik: 2010
• Tom: Vol. 12, no. 2
• Strony: 49--54
• Opis fizyczny: Bibliogr. 19 poz., il.

Twórcy

autor

Nowak M.

• Division of Machine Design Methods, Poznan University of Technology, Poland,

Bibliografia

• [1] KIM H.A., CLEMENT P.J., CUNNINGHAM J.L., Investigation of cancellous bone architecture using structural optimisation, Journal of Biomechanics, 2008, 41(3), 629-635.
• [2] BAGGE M., A model of bone adaptation as an optimization process, Journal of Biomechanics, 2000, 33, 1349-1357.
• [3] PENNINGER C.L., PATEL N.M., NIEBUR G.L., TOVAR A., RENAUD J.E., A fully anisotropic hierarchical hybrid cellular automaton algorithm to simulate bone remodeling, Mechanics Research Communications, 2008, Vol. 35, Issues 1-2, 32-42.
• [4] ROUX W., Gesammelte Abhandlungen über Entwicklungsmechanik der Organismen II, Leipzig, 1895.
• [5] PAUWELS F., Biomechanics of the locomotor apparatus, Springer-Verlag, Berlin, 1963.
• [6] CARTER D.R., ORR T.E., FYHRIE D.P., Relationships between loading history and femoral cancellous bone architecture, Journal of Biomechanics, 1989, 22(3), 231-244.
• [7] FROST H.M., Laws of Bone Structure, Springfield, Ill: Charles C. Thomas, 1964.
• [8] TELEGA J., GALKA A., TOKARZEWSKI S., Effective moduli of trabecular bone, Acta of Bioengineering and Biomechanics, 1999, Vol. 1, No. 1.
• [9] HUISKES R. et al., Effects of mechanical forces on maintenance and adaptation of form in trabecular bone, Nature, 2000, 404, 704-706.
• [10] HUISKES R., Computational Theories of Bone Modeling and Remodeling, Advanced Course on Modelling in Biomechanics, MiB03, Institute of Fundamental Technological Research, Polish Academy of Science, Warsaw, 2003.
• [11] HUISKES R., WEINANS H., GROOTENBOER J., DALSTRA M., FUDALA M., SLOOFF T.J., Adaptive bone remodelling theory applied to prosthetic-design analysis, Journal of Biomechanics, 1987, 20, 1135-1150. Fig. 6. The result of the multiple load study (altering vertical and horizontal bending forces)
• [12] HUISKES R., If bone is the answer, then what is the question? Journal of Anatomy, 2000, 197, 145-156.
• [13] WASIUTYNSKI Z., On the congruency of the forming according to the minimum potential energy with that according to equal strength, Bull. de l'Academie Polonaise des Sciences, Serie des Sciences Techniques, 1960, 8(6), 259-268.
• [14] DEMS K., MROZ Z., Multiparameter structural shape optimization by finite element method, Int. J. Num. Meth. Eng., 1978, 13, 247-263.
• [15] PEDERSEN P., Optimal Design Structures and Materials Problems and Tools, 2003.
• [16] NOWAK M., A generic 3-dimensional system to mimic trabecular bone surface adaptation, Computer Methods in Biomechanics and Biomechanical Engineering, 2006, 9(5), 313-317.
• [17] NOWAK M., Structural optimization system based on trabecular bone surface adaptation, Struct. Multidisc. Optim., 2006, 32, 241-251.
• [18] BENDSOE M.P., SIGMUND O., Topology Optimization, Theory, Methods and Applications, Springer-Verlag, Berlin, 2003.
• [19] WOLFF J., Das Gesetz der Transformation der Knochen, Hirschwald, 1892.