使用织物张量概念的多尺度均匀化过程

M. Marques , J. Belinha , A.F. Oliveira , M.C. Manzanares Céspedes , R.N. Jorge
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引用次数: 2

摘要

骨是一种异质性材料,其结构水平可以被识别,从微观尺度到宏观尺度。多尺度模型能够使用均质化技术对材料进行建模。在这项工作中,提出了一种创新的骨小梁组织均质化技术。该技术结合了织物张量概念和骨现象学材料定律,将表观密度与骨小梁力学性能联系起来。所提出的方法有效地均匀化了小梁骨高度不均匀的介质,允许定义其均匀化的微尺度力学性能,并减少了分析计算成本(与经典均匀化技术相比)。为了验证该方法的有效性,用有限方形的小梁受压块进行了算例求解。最后,比较了传统均质法和新方法的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A multiscale homogenization procedure using the fabric tensor concept

Bone is a heterogeneous material in which structural levels can be identified, from the microscale to macroscale. Multiscale models enable to model the material using homogenization techniques. In this work, an innovative homogenization technique for trabecular bone tissue is proposed. The technique combines the fabric tensor concept and a bone phenomenological material law, linking the apparent density with the trabecular bone mechanical properties. The proposed methodology efficiently homogenizes the trabecular bone highly heterogeneous medium, allowing to define its homogenized microscale mechanical properties and to reduce the analysis computational cost (when compared with classical homogenization techniques). In order to verify the efficiency of the technique several examples were solved using a confined square patch of trabecular bone under compression. In the end, the results obtained with a classic homogenization technique and the proposed methodology were compared.

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