【文献评述与RMRE最新论文】脆性断裂、功能梯度材料混合模式断裂和正交各向异性介质伪静态裂纹扩展的自适应分析-CG、CS、EFM

关键词：脆性断裂、自适应、相场模型、功能梯度材料、正交各向异性材料

【CG】A finite-volume implementation of the phase-field model for brittle fracture with adaptive mesh refinement

自适应网格细化脆性断裂相场模型的有限体积实现摘要内容相场法(PFM)将裂纹面视为连续函数，这避免了处理奇异问题时的不连续位移场，在模拟岩石类材料裂纹扩展方面具有优势。文章提出了一种利用有限体积法(FVM)离散线性动量守恒和相场演化控制方程的PFM实现方法，其中耦合方程采用迭代交错格式进行求解，与此同时，为提高计算效率，作者采用了自适应网格细化(AMR)技术。与有限元法(FEM)相比，自适应网格细化(AMR)技术在FVM中相对容易实现，因为该方法在二维和三维问题中都可以自然地处理带有悬挂节点的非结构化网格。文中对几种经典的裂纹扩展问题，包括单边缺口拉伸和剪切试验、L形板试验和带孔缺口板试验进行了模拟，并与已有的试验结果和有限元结果进行了对比，结果表明基于FVM的PFM能够准确有效地模拟裂纹扩展，并且比基于FEM的PFM更有效。

图1 位移为(a) u = 8 × 10-3 mm, (b) u = 10 × 10-3 mm, (c) u = 11.8 × 10-3 mm时单边缺口剪切试验裂纹形态

图2 位移为(a) u = 0.25 mm, (b) u = 0.55 mm, (c) u = 1mm时L型板试验裂纹形态。实验裂纹剖面图叠加在(c)中

图3 位移为(a) u = 0.4 mm, (b) u = 1.085 mm, (c) u = 2.145 mm时带孔的缺口板的裂纹模式。实验裂纹剖面图叠加在(d)中

文献信息

X. L. Yang, N. Guo, Z. X. Yang. A finite-volume implementation of the phase-field model for brittle fracture with adaptive mesh refinement. Computers and Geotechnics, 2024, 165,105921. DOI: 10.1016/j.compgeo.2023.105921. https://www.sciencedirect.com/science/article/pii/S0266352X2300678X

长按识别二维码阅读原文

【CS】Study of mixed-mode fracture in functionally graded material using an adaptive phase-field fracture model

基于自适应相场断裂模型的功能梯度材料混合模式断裂研究摘要内容本文系统地研究了功能梯度材料中的复合型断裂扩展问题，采用混合模式相场法并结合自适应网格细化技术有效地模拟了裂纹轨迹和载荷-位移响应。文中采用四叉树分解法进行网格细化，将具有悬挂节点的单元作为n边多边形处理。本文研究了单向和双向功能梯度材料中梯度分布、材料级配、裂纹位置、能量释放率和位移配置对裂纹扩展行为的影响，并发现载荷-位移图上的峰值载荷发生了明显的变化，尽管临界能量释放率发生了变化，但断裂路径保持不变。研究结果表明，在模拟中心断裂板时，断裂韧性较低的材料会发生早期失效。这一深入的研究能够加深读者对混合模式裂纹扩展的理解，并为改进功能梯度材料的分析和设计方法提供了思路。

图1 I型载荷下的均匀单边缺口板。(a) Δu = 0 mm, (b) Δu= 5.41 × 10−3mm, (c) Δu = 5.65 × 10−3 mm是自适应网格。(d)、(e)、(f)是相应的裂纹路径

图2 II型载荷下的均匀单边缺口板。(a) Δu=0 mm, (b) Δu = 1.5 × 10−2mm, (c) Δu = 2 × 10−2mm处的自适应网格。 (d)、(e)、(f)是相应的裂纹路径

图3(a) ⅰ型加载和 (b) ⅱ型加载作用下均匀单棱缺口板的荷载-位移曲线图

文献信息

A. Shajan, R. Piska, S. Natarajan.Study of mixed-mode fracture in functionally graded material using an adaptive phase-field fracture model.Composite Structures, 2024, 327,117708.

DOI: 10.1016/j.compstruct.2023.117708.

https://www.sciencedirect.com/science/article/pii/S0263822323010541

长按识别二维码阅读原文【EFM】Adaptive PD-FEM coupling method for modeling pseudo-static crack growth in orthotropic media正交各向异性介质中伪静态裂纹扩展的自适应PD-FEM耦合方法摘要内容本研究发展了基于键的近场动力学公式，并将其与有限元方法(FEM)耦合以模拟正交各向异性材料中的裂纹扩展。耦合的PD-FEM公式为同时利用近场动力学和有限元方法的优点提供了条件，该公式利用勒让德函数对材料的方向定义不同的键属性。文中模拟了复合材料中的伪静态裂纹扩展，结果表明，文中所提出的方法能够比传统的PD方法更快地预测正交各向异性材料中的裂纹扩展。本文通过与文献中的数值研究结果进行比较，证明了文中所提方法的准确性。

图1(a) 正交各向异性板在拉伸荷载作用下的PD-FEM耦合模型。(b) PD-FEM离散化板(红色和黑色分别代表FEM节点和PD材料点)。使用 (c) 耦合模型和 (d) 基于商用有限元软件的y-位移彩色轮廓

图2 采用PD-FEM耦合模型计算了受拉载荷作用下方形板的力-位移

图3 紧致张力试验采用正交异性材料，纤维取向为0度。(a) 自适应耦合方法与BB-PD对应的力-位移图。(b) 自适应耦合模型的有限元节点和单元构型(黑色和红色区域分别代表PD材料点和交点区域)。分别采用(c,e)自适应耦合法和(d,f) BB-PD法进行紧致拉伸试验的裂纹路径轨迹和节点y-位移彩色图

文献信息

R. Alebrahim, S. Marfia. Adaptive PD-FEM coupling method for modeling pseudo-static crack growth in orthotropic media. Engineering Fracture Mechanics, 2023, 294,109710. DOI: 10.1016/j.engfracmech.2023.109710.

https://www.sciencedirect.com/science/article/pii/S0013794423006689

长按识别二维码阅读原文Rock Mechanics and Rock Engineering期刊最新一期论文（2023年，第56卷，第10期）

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b Guangdong Provincial Key Laboratory of Deep Earth Sciences and Geothermal Energy Exploitation and Utilization, Shenzhen University, Shenzhen, 518060, China

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a Department of Mining and Metallurgical Engineering, Amirkabir University of Technology, Tehran, Iran

b School of Mining and Geosciences, Nazarbayev University, 53 Kabanbay Batyr Ave, Astana, Kazakhstan

c Department of Mining Engineering, Arak University of Technology, Arak, Iran

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Urban and Environmental Engineering Research Unit, Université de Liège, Allée de la Découverte 9, 4000, Liège, Belgium

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a Faculty of Engineering, China University of Geosciences, Wuhan, 430074, China

b Badong National Observation and Research Station of Geohazards, China University of Geosciences, Wuhan, 430074, China

c State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, 430072, China

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b Net-Zero Geosystems Limited, London, SE26 6UT, UK

c School of Civil and Environmental Engineering, Queensland University of Technology, Brisbane, 4000, Australia

dCentre for Materials Science, Queensland University of Technology, Brisbane, 4000, Australia

e Group of Sustainable Engineered Construction Materials, Queensland University of Technology, Brisbane, 4000, Australia

f School of Geosciences, University of Edinburgh, Edinburgh, ED9 4FE, UK

https://link.springer.com/article/10.1007/s00603-023-03446-5

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Shuang Yang a, Jianhui Deng b, Hua Li b, Fei Chen c, Fei Wang b & Xuankun Li d

a Institute for Disaster Management and Reconstruction, Sichuan University-The Hong Kong Polytechnic University, No. 24 South Section 1, Yihuan Road, Chengdu, 610065, China

b College of Water Resource and Hydropower, Sichuan University, No. 24 South Section 1, Yihuan Road, Chengdu, 610065, China

cCollege of Architecture and Civil Engineering, Chengdu University, Chengdu, 610106, China

dSchool of Mechanical Engineering, Chengdu University, Chengdu, 610106, China

https://link.springer.com/article/10.1007/s00603-023-03459-0

Weakening of compressive strength of granite by piezoelectric actuation of quartz using high-frequency and high-voltage alternating current: A 3D numerical study

Timo Saksala a, Rafael Arturo Rubio Ruiz b, Pascal-Alexandre Kane c & Mikko Hokka b

a Faculty of Built Environment, Tampere University, Tampere, Finland

b Faculty of Engineering and Natural Sciences, Tampere University, Tampere, Finland

c Sintef Industry, Trondheim, Norway

https://link.springer.com/article/10.1007/s00603-023-03451-8

Mechanical behavior and fracture evolution mechanism of composite rock under triaxial compression: Insights from three-dimensional DEM modeling

Yu Song a, Sheng-Qi Yang a, Ke-Sheng Li a, Peng-Fei Yin a & Peng-Zhi Pan b

a State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, 221116, People’s Republic of China

b State Key Laboratory of Geomechanics and Geotechnical Engineering, The Chinese Academy of Sciences, Wuhan, 430071, People’s Republic of China

https://link.springer.com/article/10.1007/s00603-023-03443-8

Probability quantification of GSI and D in Hoek–Brown criterion using Bayesian inversion and ultrasonic test in rock mass

Jian Liu a,b,c, Quan Jiang a, Daniel Dias c & Chen Tao d

a State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, 430071, China

b University of Chinese Academy of Sciences, Beijing, 100049, China

c Laboratory 3SR, CNRS UMR 5521, Grenoble Alpes University, 38000, Grenoble, France

d Sichuan Huaneng Luding Hydropower Corporation Limited, Chengdu, 610017, China

https://link.springer.com/article/10.1007/s00603-023-03448-3

Preliminary study on the carbide button selection of a button cutter for Beishan granite using indentation tests

Yanan Ma a, Qiuming Gong a, Lijun Yin a, Hongsu Ma b & Le Kang a

a Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing, 100124, China

b CNNC Key Laboratory on Geological Disposal of High-level Radioactive Waste, Beijing Research Institute of Uranium Geology, Beijing, 100029, China

https://link.springer.com/article/10.1007/s00603-023-03442-9

An upscaling-based three parameter elastic anisotropy model

E. V. Dontsov

ResFrac Corporation, Palo Alto, CA, United States

https://link.springer.com/article/10.1007/s00603-023-03468-z

本期翻译

刘旭光，2021级研究生主编：崔益硕顾问：王永亮