Engineering Mechanics

Proceedings Vol. 14 (2008)

ENGINEERING MECHANICS 2008

Copyright © 2008 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Jiroušek O., Vavřík D., Jakůbek J., Dammer J.
pages 110 - +6p., full text

FE models of trabecular bone microstructure are used in to assess its apparent mechanical properties. Material model used in FE simulation of compression and tension test is based on Young's modulus of elasticity of the trabecular tissue obtained by nanoindentation of single trabecula. Anisotropic plasticity with kinematic hardening is used in the modeling, where yield stress is calculated according to yield strains of the trabecular bone and Young's modulus given by nanoindentation results. Frictionless boundary conditions are applied to the sample and stress-strain diagram is calculated for each of the sample. Apparent strain of 2% is applied to the free end (both in tension and compression). Results obtained from numerical simulation of the compressive and tensile testing are close to the results obtained experimentally. Importance of proper segmentation of the bone tissue from CT-images as well as quality of the tetrahedral elements, need for use of quadratic shape functions is underlined in the paper. Choice of proper yield criteria, need for anisotropic plasticity and large deformation analysis is discussed as well.

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