Abstract

The paper investigates the effective properties of compact bone tissue under shear loading along the central axis of the Haversian canal. Compact bone tissue is considered as a structure consisting of an osteon (haversian canal, lamellae, cementing line) and interstitial tissue. To assess the effective longitudinal properties of bone tissue, a three-stage homogenization procedure based on the Reiss method and the three-phase method is used. The numerical values of the effective modulus of longitudinal shear obtained in the proposed work are in good agreement with the numerical values of the longitudinal shear obtained by other authors as a result of experimental studies.

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