【摘要】 将骨骼重建过程看作是一个优化过程,通过有限元分析模拟骨骼重建后的物质分布。用构造张量来描述松质骨的多孔性和弹性的各向异性,用构造张量的不变量表示设计域内物质点的有效体积分数或相对密度。对应地,算法中引入参考应变区间替代骨骼的应变死区,它对最终物质分布的影响非常明显。算例包括:椎体冠状面的模拟、二维股骨头和三维股骨头的内部物质分布的预测。通过和其他文献的结果比较,验证了该方法的正确性及可行性。更多还原

【Abstract】 A new method for the simulation of the mass distribution of cancellous bone is presented on the basis of finite element analysis(FEA).In this method,the process of bone remodelling is considered as a process of the topology optimization of a corresponding continuum structure.Fabric tensor is used to express the microstructure and the constitutive properties of cancellous bone.The effective volume fraction or the relative density of a point in the design domain is expressed by the invariables of the fabric tensor.A reference strain interval,which is corresponding to the strain dead zone of a bone in biomechanics,is applied to detect the the final topology of the structure.By the present approach,several numerical results are given,i.e.,the simulation on the shape of the coronal plane of vertebrae,the predictions of the mass distributions of the two-dimensional and the three-dimensional proximal femurs.The validity and feasibility of this new method are verified by the comparison between the results of the present work and those in the published literatures.更多还原