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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 102
PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by:
Paper 107

Compressive Behaviour of Trabecular Tissue: Finite Element Modelling and Comparison using Digital Volume Correlation

P. Zlamal, O. Jirousek, T. Doktor, T. Fila and D. Kytyr

Department of Biomechanics, Institute of Theoretical and Applied Mechanics
Academy of Sciences of the Czech Republic, Prague, Czech Republic

Full Bibliographic Reference for this paper
P. Zlamal, O. Jirousek, T. Doktor, T. Fila, D. Kytyr, "Compressive Behaviour of Trabecular Tissue: Finite Element Modelling and Comparison using Digital Volume Correlation", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 107, 2013. doi:10.4203/ccp.102.107
Keywords: trabecular bone, porous material, digital volume correlation, finite element modelling, compression test, nanoindentation, time lapse X-ray microradio-graphic imaging.

Summary
In this paper the deformation behaviour of the complex structure of a trabecular bone is investigated using the finite element (FE) simulation of a compression test. To obtain a geometrically accurate FE model of the trabecular microstructure and suitable experimental data for model validation time-lapse micro-CT scanning of the compression test was undertaken. The sample was placed in a loading device and subjected to incremental compressive loading (up to 6 % deformation with 1 % strain increments) and observed using a fine-focus X-ray microradiographic imaging. Tomography of the sample was performed at each load step and the radiograms were reconstructed using the cone beam reconstruction technique to obtain spatial image data of the deformation process. Reconstructed image data of each load state enables the FE model to be valiated and the constitutive relations used for description of the deformation behaviour to be tested. In this paper a voxel model was used to discretize the microstructure. Material constants of the elasto-plastic constitutive model with damage were identified based on the FE simulation of the nanoindentation experiment. As a result of the geometrical complexity of the model only the elastic isotropic part of the identified material model was prescribed in the final FE model. To compare the experimental and numerical results, values of the displacement calculated at the nodal points of the FE model were compared with the measured displacements at the identical points. These values were calculated from the experimental image data using the digital volume correlation technique based on the Lucas-Kanade algorithm. Albeit it was possible to compare only the displacements obtained from the FE model with the elastic isotropic material model, it was possible to demonstrate the possibilities of the method to reliably verify numerical model against full-field measurements, i.e. volumetric image data.

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