Computational modeling of cracking in cortical bone microstructure using the mesh fragmentation technique

IF 2.2 3区 工程技术 Q2 MECHANICS Archive of Applied Mechanics Pub Date : 2024-03-15 DOI:10.1007/s00419-024-02574-w
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Abstract

The cortical bone is a hierarchical composite material that, at the microscale, is segmented in an interstitial matrix, cement line, osteons, and Haversian canals. The cracking of the structure at this scale directly influences the macro behavior, and, in this context, the cement line has a protagonist role. In this sense, this work aims to simulate the crack initiation and propagation processes via cortical bone microstructure modeling with a two-dimensional mesh fragmentation technique that captures the mechanical relevance of its constituents. In this approach, high aspect ratio elements are inserted between the regular constant strain triangle finite elements to define potential crack paths a priori. The crack behavior is described using a composed damage model with two scalar damage variables, which is integrated by an implicit-explicit (Impl-Ex) scheme to avoid convergence problems usually found in numerical simulations involving multiple cracks. The approach’s capability of modeling the failure process in cortical bone microstructure is investigated by simulating four conceptual problems and one example based on a digital image of an experimental test. The results obtained in terms of crack pattern and failure mechanisms agree with those described in the literature, demonstrating that the numerical tool is promising to simulate the complex failure mechanisms in cortical bone, considering the properties of its distinct phases.

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利用网格破碎技术建立皮质骨微观结构开裂的计算模型
摘要 骨皮质是一种层次分明的复合材料,在微观尺度上,由间质基质、骨水泥线、骨质和哈弗氏管组成。该尺度下结构的开裂直接影响宏观行为,在这种情况下,骨水泥线扮演着主角的角色。从这个意义上说,这项研究旨在通过皮质骨微观结构建模,利用二维网格破碎技术模拟裂纹的产生和扩展过程,从而捕捉其组成成分的力学相关性。在这种方法中,在常规恒应变三角形有限元之间插入高纵横比元素,以预先确定潜在的裂纹路径。裂纹行为通过一个包含两个标量损伤变量的损伤模型来描述,该模型通过隐式-显式(Impl-Ex)方案进行整合,以避免通常在涉及多裂纹的数值模拟中发现的收敛问题。通过模拟四个概念问题和一个基于实验测试数字图像的示例,研究了该方法对皮质骨微结构破坏过程的建模能力。在裂纹模式和破坏机制方面获得的结果与文献中描述的结果一致,这表明考虑到皮质骨不同阶段的特性,该数值工具有望模拟皮质骨中复杂的破坏机制。
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来源期刊
CiteScore
4.40
自引率
10.70%
发文量
234
审稿时长
4-8 weeks
期刊介绍: Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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