Abstract
The paper provides an overview of the structural optimization system development. The basis and also the primary idea for algorithm formulation was the bone remodelling phenomenon leading to the optimization of the trabecular net within the bone. The idea was completed with theorems concerning the surface constant strain energy principle to form the biomimetic optimization system. The paper describes the key element of the optimization procedure: our own mesh generator called Cosmoprojector. It also presents the concept of Finite Element mesh parallel generation as well as Finite Element Analysis in a parallel environment as a recent enhancement of the presented method. Finally, it presents some results of computations obtained with the use of biomimetic structural optimization.
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References
Bendsøe MP, Sigmund O (2003) Topology optimisation. Theory, methods and applications. Springer, Berlin
Huiskes R, Ruimerman R, van Lenthe GH, Janssen JD (2000) Effects of mechanical forces on maintenance and adaptation of form in trabecular bone. Nature 405:704–706
Niebur GL, Feldstein MJ, Yuen JC, Chen TJ, Keaveny TM (2000) High-resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone. J Biomech 33(12):1575–1583
Nowak M (2006) A generic 3-dimensional system to mimic trabecular bone surface adaptation. Comput Methods Biomech Biomed Eng 9(5):313–317
Nowak M (2006) Structural optimization system based on trabecular bone surface adaptation. Struct Multidiscip Optim 32(3):241–249
Pedersen P (2003) Optimal designs—structures and materials—problems and tools. Technical University of Denmark. Draft, ISBN 87-90416-06-6
Ruimerman R, Van Rietbergen B, Hilbers P, Huiskes R (2003) A 3-dimensional computer model to simulate trabecular bone metabolism. Biorheology 40(1–3):315–320
Schramm U, Zhou M (2006) Recent developments in the commercial implementation of topology optimization. In: IUTAM symposium on topological design optimization of structures, machines and materials. Springer, Berlin, pp 239–248
Tsubota K, Adachi T, Tomita Y (2002) Functional adaptation of cancellous bone in human proximal femur predicted by trabecular surface remodeling simulation toward uniform stress state. J Biomech 35(12):1541–1551
Wasiutynski Z (1960) On the congruency of the forming according to the minimum potential energy with that according to equal strength. Bull Acad Pol Sci, Ser Sci Tech 8(6):259–268
Acknowledgements
This work was partially supported by the Polish Ministry of Science and Higher Education under the grant no. N N518 328835.
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Nowak, M. (2013). From the Idea of Bone Remodelling Simulation to Parallel Structural Optimization. In: Repin, S., Tiihonen, T., Tuovinen, T. (eds) Numerical Methods for Differential Equations, Optimization, and Technological Problems. Computational Methods in Applied Sciences, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5288-7_18
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DOI: https://doi.org/10.1007/978-94-007-5288-7_18
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