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A nonlinear
micromechanical model for progressive damage of vertebral
trabecular bones
Eyass Massarwa, Jacob Aboudi, Fabio Galbusera, Hans-Joachim Wilke and Rami Haj-Ali |
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Vol. 12 (2017), No. 4, 407–424
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Abstract |
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A new three-dimensional (3D) nonlinear micromechanical analysis is proposed to predict the overall mechanical response to damage evolution of the vertebral trabecular bone (VTB) highly porous microstructure. Towards that goal, a nonlinear micromechanical model, based on the 3D parametric high fidelity generalized method of cells (HFGMC) micromechanics, is extended to include progressive damage. The damage is initiated at the local subcell and its evolution is carried out using a strain-softening method. The nonlinear HFGMC behavior including damage evolution is first verified by examining its ability to predict the experimental nonlinear compression stress-strain response of printed polymeric VTB highly porous microstructure. Next, predicted HFGMC pre- and postultimate failure for native VTB representative unit cells (RUCs) harvested from different vertebrae of human cadavers () are carried out. Some of the latter predictions were compared to reported values found in the literature. The proposed nonlinear HFGMC micromechanical model with evolving damage can predict the overall nonlinear behavior, including postultimate range. |
Keywords
micromechanics, HFGMC, vertebral trabecular bone, overall
mechanical behavior, progressive damage
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Milestones
Received: 18 August 2016
Revised: 1 December 2016
Accepted: 27 December 2016
Published: 20 May 2017
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Authors |
| Eyass Massarwa | |
| Faculty of Engineering Tel-Aviv University 69978 Tel-Aviv Israel |
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| Jacob Aboudi | |
| Faculty of Engineering Tel-Aviv University 69978 Tel-Aviv Israel |
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| Fabio Galbusera | |
| Department of Spine Surgery
III IRCCS Galeazzi Orthopaedic Institute Via Riccardo Galeazzi 4 20161 Milan Italy |
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| Hans-Joachim Wilke | |
| Institute for Orthopedic Research
and Biomechanics Ulm University Helmholtzstrasse 14 D-89081 Ulm Germany |
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| Rami Haj-Ali | |
| Faculty of Engineering Tel-Aviv University 69978 Tel-Aviv Israel |
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