506 重合メッシュ法と均質化法を用いた海綿骨のマルチスケールモデリング(J01-2 計算生体力学におけるマルチスケール・マルチフィジックス問題(2),J01 計算生体力学におけるマルチスケール・マルチフィジックス問題)

概要

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This paper aims at developing a practical multi-scale simulator for bone to be used for osteoporosis diagnosis and biomechanical study. In the newly developed multi-scale system, the macroscopic mechanical properties of bone can be predicted considering both the microscale trabeculae morphology and the nanoscale BAp grain orientation. The digital image-based modeling technique using X-ray CT and voxel finite element mesh is used to capture the microscale morphology. Very huge finite element model is used, but the c-axis of BAp is assigned to all the elements automatically. The mathematical homogenization method is applied to calculate the macroscopic properties. Another topic in our multi-scale system is that the stress and/or strain can be analyzed at microscale under arbitrary loading condition by means of the mesh superposition method. In this manuscript, an application to pig's thighbone is demonstrated. The predicted anisotropic properties agreed well with the measurement of c-axis of BAp by X-ray diffraction.
社団法人日本機械学会の論文
2005-09-18