Elucidation of pore connection mechanism during ductile fracture of sintered pure iron by applying persistent homology to 4D images of pores: Role of open pore
Elucidation of pore connection mechanism during ductile fracture of sintered pure iron by applying persistent homology to 4D images of pores: Role of open pore
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通过对孔隙 4D 图像应用持久同源性来阐明烧结纯铁韧性断裂过程中的孔隙连接机制：开孔的作用
DOI：
10.1016/j.msea.2021.142112
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Ozaki Yukiko
中科院分区：
文献类型：
--
作者：
Ando Isshin;Mugita Yasutaka;Hirayama Kyosuke;Munetoh Shinji;Aramaki Masatoshi;Jiang Fei;Tsuji Takeshi;Takeuchi Akihisa;Uesugi Masayuki;Ozaki Yukiko
摘要在延性断裂过程中，用同步辐射X射线层析成像技术显示了包括开口孔在内的四维孔的构型，然后用持久同源性(PH)这一拓扑量进行了定量解释。特别是，这项研究使用了第零PH，其中每个孔的等效体积球的半径和成对的孔到其他孔的距离可以被估计。孔结构被量化为一组出生和死亡值{(bi，di)}，并跟踪了随着应变增加而发生的变化。因此，第零个PH在压裂前的最后阶段揭示了以下信息。首先，由于开孔对闭孔的吸附作用，开孔和闭孔之间的配对构型减少。第二，细长的闭合孔和开放孔之间的构型增加，其中相同体积的球体被包裹。孔洞的这些构型变化预示着开放的孔洞和周围闭合的孔洞之间的孔洞连接，最终产生垂直于拉应力的延性裂纹。这项研究证明了对延性裂纹产生必不可少的孔连接过程的有效解释。
Abstract 4D pore configurations including an open pore were visualized by synchrotron X-ray laminography during the ductile fracturing process and then interpreted quantitatively using persistent homology (PH), a topological measure. In particular, this study used the zeroth PH, where the radius of an equivalent volume sphere for each pore and the distances to the other pores can be estimated for pairs of pores. The pore configurations were quantified as a set of birth and death values {(b i, d i)} and changes due to increasing strain were tracked. As a result, the zeroth PH revealed the following information at the final stage before fracturing. First, the pair configurations between the open pore and closed pores decreased owing to the adsorption of closed pores by the open pore. Second, the configuration between the elongated closed pore and the open pore, where equivalent volume spheres are overwrapped, increased. These configurational changes in pores predict the pore connection between the open pore and surrounding closed pores that eventually generates a ductile crack perpendicular to the tensile stress. This study demonstrated the effective interpretation of the pore connection process that is essential to ductile crack generation.
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