定常軸荷重を受ける円柱形適応弾性体の内部形成

概要

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In this paper we consider changes of volume fraction, stress and strain in a cylindrical adaptive elastic body, which is a model of living bone tissue, subjected to a steady axial load. The internal remodeling theory developed by Cowin and Van Buskirk is employed, and the displacement field is represented including the second order terms. The equilibrium of stress in the bone is satisfied in a sense of averaging. The governing equations are derived and solved numerically. The result shows that the homogeneous volume fraction in transverse plane changes to the state of inhomogeneity transiently and then devolves to the states of homogeneity gradually, while the axial inhomogeneity vanishes monotonically. The stress and strain distributions are inhomogeneous at the beginning and change to the state of homogeneity gradually.
一般社団法人日本機械学会の論文
1990-07-25