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Nonlinear hierarchical multiscale modeling of cortical bone considering its nanoscale microstructure

Ghanbari, J ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jbiomech.2009.02.014
  3. Publisher: 2009
  4. Abstract:
  5. We have used a hierarchical multiscale modeling scheme for the analysis of cortical bone considering it as a nanocomposite. This scheme consists of definition of two boundary value problems, one for macroscale, and another for microscale. The coupling between these scales is done by using the homogenization technique. At every material point in which the constitutive model is needed, a microscale boundary value problem is defined using a macroscopic kinematical quantity and solved. Using the described scheme, we have studied elastic properties of cortical bone considering its nanoscale microstructural constituents with various mineral volume fractions. Since the microstructure of bone consists of mineral platelet with nanometer size embedded in a protein matrix, it is similar to the microstructure of soft matrix nanocomposites reinforced with hard nanostructures. Considering a representative volume element (RVE) of the microstructure of bone as the microscale problem in our hierarchical multiscale modeling scheme, the global behavior of bone is obtained under various macroscopic loading conditions. This scheme may be suitable for modeling arbitrary bone geometries subjected to a variety of loading conditions. Using the presented method, mechanical properties of cortical bone including elastic moduli and Poisson's ratios in two major directions and shear modulus is obtained for different mineral volume fractions. © 2009 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Mechanical properties ; Bone geometry ; Cortical bone ; Elastic properties ; Global behaviors ; Hierarchical multiscale modeling ; Homogenization techniques ; Loading condition ; Macro scale ; Macroscopic loading ; Matrix ; Micro-scale ; Micro-structural ; Multi-scale Modeling ; Multiscale modeling schemes ; Nano scale ; Nanometer size ; Nanoscale microstructure ; Poisson's ratio ; Protein matrix ; Representative volume elements ; Shear modulus ; Two boundary value problems ; Elastic moduli ; Homogenization method ; Knowledge based systems ; Mechanical properties ; Minerals ; Mining ; Nanocomposites ; Nanostructured materials ; Ordinary differential equations ; Silicate minerals ; Steel structures ; Titration ; Volume measurement ; Bone ; Hydroxyapatite ; Nanomaterial ; Analytic method ; Article ; Bone matrix ; Bone mineral ; Bone structure ; Calculation ; Human ; Kinematics ; Macrostructure ; Microstructure ; Nanoanalysis ; Nonlinear hierarchal multiscale modeling ; Particle size ; Platelet microparticle ; priority journal ; structure analysis ; Animals ; Biomechanics ; Bone and Bones ; Bone Density ; Collagen ; Durapatite ; Elasticity ; Finite Element Analysis ; Models, Biological ; Nanotechnology ; Nonlinear Dynamics ; Poisson Distribution
  8. Source: Journal of Biomechanics ; Volume 42, Issue 10 , 2009 , Pages 1560-1565 ; 00219290 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0021929009000906