Material model of pelvic bone based on modal analysis: a study on the composite bone
Creators: name: Henyš, Petr
name: Lukáš Čapek
Publisher: name: figshare
Year: 2017
Subjects: subject: 90302 Biomechanical Engineering
subject: FOS: Medical engineering
subject: FOS: Medical engineering
subject: 110601 Biomechanics
subject: FOS: Health sciences
subject: FOS: Health sciences
subject: 90301 Biomaterials
subject: 10303 Optimisation
subject: FOS: Mathematics
subject: FOS: Mathematics
subject: Mechanical Engineering
subject: FOS: Mechanical engineering
subject: FOS: Mechanical engineering
subject: 91307 Numerical Modelling and Mechanical Characterisation
subject: 90303 Biomedical Instrumentation
subject: 90399 Biomedical Engineering not elsewhere classified
subject: 91202 Composite and Hybrid Materials
subject: FOS: Materials engineering
subject: FOS: Materials engineering
subject: Computer Engineering
subject: 91304 Dynamics, Vibration and Vibration Control
subject: 91399 Mechanical Engineering not elsewhere classified
subject: 90304 Medical Devices
subject: 90506 Structural Engineering
subject: FOS: Civil engineering
subject: FOS: Civil engineering
subject: Applied Computer Science
subject: 80205 Numerical Computation
subject: FOS: Computer and information sciences
subject: FOS: Computer and information sciences
subject: 80110 Simulation and Modelling
subject: Mechanics
subject: 29903 Medical Physics
subject: FOS: Physical sciences
subject: FOS: Physical sciences
subject: 91308 Solid Mechanics

description: Digital models based on finite element (FE) analysis are widely used in orthopaedics to predict the stress or strain in the bone due to bone--implant interaction. The usability of the model depends strongly on the bone material description. The material model that is most commonly used is based on a constant Young's modulus or on the apparent density of bone obtained from computer tomography (CT) data. The Young's modulus of bone is described in many experimental works with large variations in the results. The concept of measuring and validating the material model of the pelvic bone based on modal analysis is introduced in this pilot study. The modal frequencies, damping, and shapes of the composite bone were measured precisely by an impact hammer at 239 points. An FE model was built using the data pertaining to the geometry and apparent density obtained from the CT of the composite bone. The isotropic homogeneous Young's modulus and Poisson's ratio of the cortical and trabecular bone were estimated from the optimisation procedure including Gaussian statistical properties. The performance of the updated model was investigated through the sensitivity analysis of the natural frequencies with respect to the material parameters. The maximal error between the numerical and experimental natural frequencies of the bone reached 1.74 % in the first modal shape. Finally, the optimised parameters were matched with the data sheets of the composite bone. The maximal difference between the calibrated material properties and that obtained from the data sheet was 34 %. The optimisation scheme of the FE model based on the modal analysis data provides extremely useful calibration of the FE models with the uncertainty bounds and without the influence of the boundary conditions. A full-text only-view version of the article is available on http://rdcu.be/jXN7