Inelastic Modelling of Bone Damage Under Compressive Loading
Inelastic Modelling of Bone Damage Under Compressive Loading
复制标题
压缩载荷下骨损伤的非弹性建模
DOI：
10.1007/978-981-16-7207-1_21
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Qing Luo
中科院分区：
文献类型：
--
作者：
Qiguo Rong;Qing Luo
The existing constitutive models of inelastic behavior of bone are all based on the assumed tissue behaviors, thus lacking direct physical meaning. To address the issue, this study proposed a semi-empirical constitutive model for describing the post-yield behavior of bone based on the experimental relationships of the elastic modulus, plastic strain, and viscoelastic responses of bone with the applied strain. Assuming that these decomposed properties are independent to each other, a simple but physically sound model was derived by combining all (elastic, plastic, and viscoelastic) behaviors in one governing equation. In this model, a decayed exponential function was applied to describe the modulus loss (damage accumulation) with increasing strain. In addition, a power law function was used to describe the increase of plastic deformation with damage accumulation. Finally, the linear viscoelastic model based on a convolution integral was proposed to describe the viscoelastic behavior of bone as the function of time and loading rate. To verify the model, all material constants required for the experimental relationships between the Young’s modulus, plastic deformation, viscoelastic deformation and the applied deformation were obtained using a novel progressive loading protocol on human cortical bone. Then, the monotonic stress-strain curve obtained from bone specimens at the same anatomic location was curve-fitted with the proposed constitutive model and the material constants were predicted and compared with the experimental ones. The analysis indicated that the proposed constitutive model was reasonably accurate in assessing the post-yield behavior of bone.
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