| Compact bone is a natural biological composite material,which comprises of mineralized collagen fibrils formed by spiral Haversian canal,with excellent mechanical properties,such as fracture toughness and fracture strength.Bone undergoes microdamage in the form of microcracks due to fatigue and cyclic loading.The microcracks can coalescence causing a reduction in the mechanical properties of bone.Therefore,through the study of fracture mechanics of behavior and the mechanism of strength and toughness,it can effectively protect against bone disease and provide useful guidance for the design of biomimetic composite bone material.This paper will resort to complex method and finite element method for anti-plane crack problems of compact bone model with none cement line?cement line and two cracks,respectively.The interstitial tissue was modeled as a matrix and the osteon was modeled as a fibre,continued by the application of linear elastic fracture mechanics theory.Interaction between the osteons is not taken into account,assuming that the osteons are well bonded to the interstitial bone matrix,and the matrix is large enough for the osteon.It is possible to solve the problem as a superposition of several distinct problems.Numerical results investigate the influence of shear modulus ratios between osteon and interstitial tissue,distance between crack and osteon,the length of the crack the normal stress-intensity factors at the crack tips.The finite element numerical simulation results are compared with the analytical solution of the complex method,and then the correctness of the theoretical derivation is verified. |
PDF Full Text Request