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Rock Plasticity from Microtomography and Upscaling

Journal of Earth Science 2015年第1期26卷 53-59页

作者： Jie Liu Reem Freij-Ayoub Klaus Regenauer-Lieb School of Earth Science and Geological Engineering Sun Yat-Sen University School of Earth and Environment the University of Western AustraliaPerth WA 6000Australia Earth Science and Resource Engineering CSIROKensington WA 6151Australia School of Petroleum Engineering University of New South WalesSydney NSW 2052Australia

We present a workflow for upscaling of rock properties using microtomography and percolation theory. In this paper we focus on a pilot study for assessing the plastic strength of rocks from a digital rock image. Firstly, we determine the size of mechanical representative volume ele- ment （RVE） by using upper/lower bound dissipation computations in accordance with thermody- namics. Then the mechanical RVE is used to simulate the rock failure at micro-scale using FEM. Two cases of different pressures of linear Drucker-Prager plasticity of rocks are computed to compute the macroscopic cohesion and the angle of internal friction of the rock. We also detect the critical exponents of yield stress for sealing laws from a series of derivative models that are created by a shrinking/expanding algorithm. We use microtomographic data sets of two carbonate samples and compare the results with previous results. The results show that natural rock samples with irregular structures may have the critical exponent of yield stress different from random models. This unexpected result could have significant ramifications for assessing the stability of solid materials with internal structure. Therefore our pilot study needs to be extended to investigate the scaling laws of strength of many more natural rocks with irregular microstructure.

关键词： plastic strength rock mierotomography percolation theory upscaling.

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Direct observation of atomic-level fractal structure in a metallic glass membrane

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Science Bulletin 2021年第13期66卷 1312-1318,M0004页

作者： Hongyu Jiang Jiyu Xu Qinghua Zhang Qian Yu Laiquan Shen Ming Liu Yitao Sun Chengrong Cao Dong Su Haiyang Bai Sheng Meng Baoan Sun Lin Gu Weihua Wang Beijing National Laboratory for Condensed Matter Physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China Songshan Lake Materials Laboratory Dongguan 523808China Department of Materials Science&Engineering Center of Electron Microscopy and State Key Laboratory of Silicon MaterialsZhejiang UniversityHangzhou 310027China Qian Xuesen Laboratory of Space Technology Beijing 100094China Department of Materials Science and Engineering University of Wisconsin-MadisonMadisonWisconsin 53706USA School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China

Determination and conceptualization of atomic structures of metallic glasses or amorphous alloys remain a grand *** models proposed for bulk metallic glasses are still controversial owing to experimental difficulties in directly imaging the atom positions in three-dimensional *** the advanced atomic-resolution imaging,here we directly observed the atomic arrangements in atomically thin metallic glassy membranes obtained by vapor *** atomic packing in the amorphous membrane is shown to have a fractal characteristic,with the fractal dimension depending on the atomic ***,the atomic configuration for the metallic glass membrane is composed of many types of polygons with the bonding angles concentrated on 45°-55°.The fractal atomic structure is consistent with the analysis by the percolation theory,and may account for the enhanced relaxation dynamics and the easiness of glass transition as reported for the thin metallic glassy films or glassy surface.

关键词： Metallic glass Atomic-resolution imaging Fractal packing percolation theory

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Node interdependent percolation of multiplex hypergraph with weak interdependence

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The Journal of China Universities of Posts and Telecommunications 2023年第6期30卷 49-59页

作者： Zhang Junjie Liu Caixia Liu Shuxin Zang Weifei Li Qian Institute of Information Technology PLA Strategic Support Force Information Engineering UniversityZhengzhou 450000China Institute of System Engineering Academy of Military SciencesBeijing 100091China

In recent years, there has been considerable attention and research on the higher-order interactions that are prevalent in various real-world networks. Hypergraphs, especially in the study of complex systems, are proved effective in capturing these interactions. To better characterize the model in reality, this paper proposes a theoretical model of node interdependent percolation in multiplex hypergraphs, considering “weak” interdependence. The proposed model includes pairwise and higher-order interactions, where the removal of nodes triggers cascading failures. However, interdependent nodes connected to failed nodes experience partial loss of connections due to “weak” interdependence, reflecting the self-sustaining capabilities of real-world systems. percolation theory is applied to the analysis to investigate the properties of the percolation threshold and phase transition. Both analysis and simulation results show that as the strength of interdependence between nodes weakens, the network transitions from a discontinuous to a continuous phase, thereby increasing its robustness.

关键词： node interdependent percolation theory hypergraph

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