Abstract:
Bone tissues are heterogeneous composites that consist of various microstructural constituents at
different length scales. These microstructural constituents and their heterogeneous distribution
significantly affect the fracture behavior of bones. Thus, the effect of parametric uncertainties on
the fracture analysis of a cortical bone is presented in this study. A 2D model of the cortical bone
is generated with the help of micro-CT image of a cortical bone and the fracture analysis is
performed for the developed model with the help of an Extended Isogeometric Analysis (XIGA)
using linear elastic fracture mechanics. The values of stress intensity factor are calculated with
the help of interaction integral approach and the direction of crack propagation after each step is
evaluated using the maximum principle stress criterion. The obtained results are compared with
the finite element results using Abaqus software and found in good agreement. Further, uncertainties
in the values of osteon Young’s modulus, cement line thickness and porosity percentage
are taken into consideration for stochastic analysis. The effect of variation in the values
of input parameters on the stress intensity factor values and the crack path trajectories is illustrated,
and observed that the variation in osteon Young’s modulus and porosity percentage is
more pronounced than the cement line thickness.
