Fracture at the two-dimensional limit

Ni, Bo; Steinbach, Doug; Yang, Zhenze; Lew, Andrew; Zhang, Boyu; Fang, Qiyi; Buehler, Markus J.; Lou, Jun

doi:10.1557/s43577-022-00385-4

Fracture at the two-dimensional limit

Journal Article · 01 August 2022 · MRS Bulletin

DOI:https://doi.org/10.1557/s43577-022-00385-4· OSTI ID:1981008

^[1]; ; ; ; Zhang, Boyu; Fang, Qiyi; ;

OSTI

Not provided.

Research Organization:: Rice Univ., Houston, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0018193

OSTI ID:: 1981008

Journal Information:: MRS Bulletin, Journal Name: MRS Bulletin Journal Issue: 8 Vol. 47; ISSN 0883-7694

Publisher:: Materials Research Society

Country of Publication:: United States

Language:: English

References (92)

Surface effects on mode-I crack tip fields: A numerical study Fu, X. L.; Wang, G. F.; Feng, X. Q. Engineering Fracture Mechanics, Vol. 77, Issue 7 https://doi.org/10.1016/j.engfracmech.2010.02.022	journal	May 2010
Anomalous Strength Characteristics of Tilt Grain Boundaries in Graphene Grantab, R.; Shenoy, V. B.; Ruoff, R. S. Science, Vol. 330, Issue 6006, p. 946-948 https://doi.org/10.1126/science.1196893	journal	November 2010
Bending Rigidity and Gaussian Bending Stiffness of Single-Layered Graphene Wei, Yujie; Wang, Baoling; Wu, Jiangtao Nano Letters, Vol. 13, Issue 1 https://doi.org/10.1021/nl303168w	journal	December 2012
Ultrahard nanotwinned cubic boron nitride Tian, Yongjun; Xu, Bo; Yu, Dongli Nature, Vol. 493, Issue 7432 https://doi.org/10.1038/nature11728	journal	January 2013
Mechanical Anisotropy in Two-Dimensional Selenium Atomic Layers Qin, Jing-Kai; Sui, Chao; Qin, Zhao Nano Letters, Vol. 21, Issue 19 https://doi.org/10.1021/acs.nanolett.1c02294	journal	September 2021
Confining Crack Propagation in Defective Graphene López-Polín, Guillermo; Gómez-Herrero, Julio; Gómez-Navarro, Cristina Nano Letters, Vol. 15, Issue 3 https://doi.org/10.1021/nl504936q	journal	February 2015
Fracture toughness enhancement of h-BN monolayers via hydrogen passivation of a crack edge Kumar, Rajesh; Parashar, Avinash Nanotechnology, Vol. 28, Issue 16 https://doi.org/10.1088/1361-6528/aa6294	journal	March 2017
Tailoring fracture strength of graphene Dewapriya, M. A. N.; Meguid, S. A. Computational Materials Science, Vol. 141 https://doi.org/10.1016/j.commatsci.2017.09.005	journal	January 2018
A reactive potential for hydrocarbons with intermolecular interactions Stuart, Steven J.; Tutein, Alan B.; Harrison, Judith A. The Journal of Chemical Physics, Vol. 112, Issue 14 https://doi.org/10.1063/1.481208	journal	April 2000
Dynamic mechanical behavior of multilayer graphene via supersonic projectile penetration Lee, Jae-Hwang; Loya, Phillip E.; Lou, Jun Science, Vol. 346, Issue 6213 https://doi.org/10.1126/science.1258544	journal	November 2014
Machine learning aided phase field method for fracture mechanics Feng, Yuan; Wang, Qihan; Wu, Di International Journal of Engineering Science, Vol. 169 https://doi.org/10.1016/j.ijengsci.2021.103587	journal	December 2021
Nanoscale gold pillars strengthened through dislocation starvation Greer, Julia R.; Nix, William D. Physical Review B, Vol. 73, Issue 24 https://doi.org/10.1103/PhysRevB.73.245410	journal	June 2006
Structural Defects, Mechanical Behaviors, and Properties of Two-Dimensional Materials Xiong, Zixin; Zhong, Lei; Wang, Haotian Materials, Vol. 14, Issue 5 https://doi.org/10.3390/ma14051192	journal	March 2021
Single-layer MoS₂ transistors Radisavljevic, B.; Radenovic, A.; Brivio, J. Nature Nanotechnology, Vol. 6, Issue 3, p. 147-150 https://doi.org/10.1038/nnano.2010.279	journal	January 2011
Brittle Fracture of 2D MoSe ₂ Yang, Yingchao; Li, Xing; Wen, Minru Advanced Materials, Vol. 29, Issue 2 https://doi.org/10.1002/adma.201604201	journal	November 2016
Ripping Graphene: Preferred Directions Kim, Kwanpyo; Artyukhov, Vasilii I.; Regan, William Nano Letters, Vol. 12, Issue 1 https://doi.org/10.1021/nl203547z	journal	December 2011
Molecular machines Richards, Victoria Nature Chemistry, Vol. 8, Issue 12 https://doi.org/10.1038/nchem.2687	journal	November 2016
Deep learning based design of porous graphene for enhanced mechanical resilience Yu, Chi-Hua; Wu, Chang-Yan; Buehler, Markus J. Computational Materials Science, Vol. 206 https://doi.org/10.1016/j.commatsci.2022.111270	journal	April 2022
Strengthening effect of single-atomic-layer graphene in metal–graphene nanolayered composites Kim, Youbin; Lee, Jinsup; Yeom, Min Sun Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms3114	journal	July 2013
Mechanical testing of two-dimensional materials: a brief review Al-Quraishi, Karrar K.; He, Qing; Kauppila, Wesley International Journal of Smart and Nano Materials, Vol. 11, Issue 3 https://doi.org/10.1080/19475411.2020.1791276	journal	July 2020
Mechanical properties of molybdenum diselenide revealed by molecular dynamics simulation and support vector machine Wang, Xinyu; Hong, Yang; Wang, Man Physical Chemistry Chemical Physics, Vol. 21, Issue 18 https://doi.org/10.1039/C8CP07881E	journal	January 2019
Machine Learning Enabled Prediction of Mechanical Properties of Tungsten Disulfide Monolayer Wang, Xinyu; Han, Dan; Hong, Yang ACS Omega, Vol. 4, Issue 6 https://doi.org/10.1021/acsomega.9b01087	journal	June 2019
The Phenomena of Rupture and Flow in Solids Griffith, A. A. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 221, Issue 582-593 https://doi.org/10.1098/rsta.1921.0006	journal	January 1921
Fracture Mechanics Anderson, T. L. CRC Press https://doi.org/10.1201/9781315370293	book	March 2017
Nanomechanical cleavage of molybdenum disulphide atomic layers Tang, Dai-Ming; Kvashnin, Dmitry G.; Najmaei, Sina Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4631	journal	April 2014
Molecular mechanics of polycrystalline graphene with enhanced fracture toughness Jung, GangSeob; Qin, Zhao; Buehler, Markus J. Extreme Mechanics Letters, Vol. 2 https://doi.org/10.1016/j.eml.2015.01.007	journal	March 2015
Pseudo Hall–Petch Strength Reduction in Polycrystalline Graphene Song, Zhigong; Artyukhov, Vasilii I.; Yakobson, Boris I. Nano Letters, Vol. 13, Issue 4 https://doi.org/10.1021/nl400542n	journal	March 2013
Materials become insensitive to flaws at nanoscale: Lessons from nature Gao, H.; Ji, B.; Jager, I. L. Proceedings of the National Academy of Sciences, Vol. 100, Issue 10 https://doi.org/10.1073/pnas.0631609100	journal	May 2003
Measuring Interlayer Shear Stress in Bilayer Graphene Wang, Guorui; Dai, Zhaohe; Wang, Yanlei Physical Review Letters, Vol. 119, Issue 3 https://doi.org/10.1103/PhysRevLett.119.036101	journal	July 2017
Understanding, discovery, and synthesis of 2D materials enabled by machine learning Ryu, Byunghoon; Wang, Luqing; Pu, Haihui Chemical Society Reviews, Vol. 51, Issue 6 https://doi.org/10.1039/D1CS00503K	journal	January 2022
Geometrical distortion leads to Griffith strength reduction in graphene membranes Song, Zhigong; Ni, Yong; Xu, Zhiping Extreme Mechanics Letters, Vol. 14 https://doi.org/10.1016/j.eml.2017.01.005	journal	July 2017
Two-Dimensional Nanosheets Produced by Liquid Exfoliation of Layered Materials Coleman, J. N.; Lotya, M.; O'Neill, A. Science, Vol. 331, Issue 6017, p. 568-571 https://doi.org/10.1126/science.1194975	journal	February 2011
Mechanics at the interfaces of 2D materials: Challenges and opportunities Dai, Zhaohe; Lu, Nanshu; Liechti, Kenneth M. Current Opinion in Solid State and Materials Science, Vol. 24, Issue 4 https://doi.org/10.1016/j.cossms.2020.100837	journal	August 2020
Mechanics of Transformation-Toughening in Brittle Materials McMEEKING, R. M.; Evans, A. G. Journal of the American Ceramic Society, Vol. 65, Issue 5 https://doi.org/10.1111/j.1151-2916.1982.tb10426.x	journal	May 1982
Nonlinear fracture toughness measurement and crack propagation resistance of functionalized graphene multilayers Cao, Changhong; Mukherjee, Sankha; Howe, Jane Y. Science Advances, Vol. 4, Issue 4 https://doi.org/10.1126/sciadv.aao7202	journal	April 2018
Critical Comparison of Phase-Field, Peridynamics, and Crack Band Model M7 in Light of Gap Test and Classical Fracture Tests Bažant, Zdeněk P.; Nguyen, Hoang T.; Abdullah Dönmez, A. Journal of Applied Mechanics, Vol. 89, Issue 6 https://doi.org/10.1115/1.4054221	journal	April 2022
Understanding and quantifying electron beam effects during in situ TEM nanomechanical tensile testing on metal thin films Stangebye, Sandra; Zhang, Yin; Gupta, Saurabh Acta Materialia, Vol. 222 https://doi.org/10.1016/j.actamat.2021.117441	journal	January 2022
Shape insensitive optimal adhesion of nanoscale fibrillar structures Gao, H.; Yao, H. Proceedings of the National Academy of Sciences, Vol. 101, Issue 21 https://doi.org/10.1073/pnas.0400757101	journal	May 2004
Fracture toughness of graphene Zhang, Peng; Ma, Lulu; Fan, Feifei Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4782	journal	April 2014
Confined Crack Propagation in MoS₂ Monolayers by Creating Atomic Vacancies Manzanares-Negro, Yolanda; López-Polín, Guillermo; Fujisawa, Kazunori ACS Nano, Vol. 15, Issue 1 https://doi.org/10.1021/acsnano.0c08235	journal	January 2021
Unconventional superconductivity in magic-angle graphene superlattices Cao, Yuan; Fatemi, Valla; Fang, Shiang Nature, Vol. 556, Issue 7699 https://doi.org/10.1038/nature26160	journal	March 2018
Learning to fail: Predicting fracture evolution in brittle material models using recurrent graph convolutional neural networks Schwarzer, Max; Rogan, Bryce; Ruan, Yadong Computational Materials Science, Vol. 162 https://doi.org/10.1016/j.commatsci.2019.02.046	journal	May 2019
Griffith Criterion for Brittle Fracture in Graphene Yin, Hanqing; Qi, H. Jerry; Fan, Feifei Nano Letters, Vol. 15, Issue 3 https://doi.org/10.1021/nl5047686	journal	February 2015
Strong and flaw-insensitive two-dimensional covalent organic frameworks Fang, Qiyi; Sui, Chao; Wang, Chao Matter, Vol. 4, Issue 3 https://doi.org/10.1016/j.matt.2021.01.001	journal	March 2021
Defects controlled wrinkling and topological design in graphene Zhang, Teng; Li, Xiaoyan; Gao, Huajian Journal of the Mechanics and Physics of Solids, Vol. 67 https://doi.org/10.1016/j.jmps.2014.02.005	journal	July 2014
On the Mechanistic Origins of Toughness in Bone Launey, Maximilien E.; Buehler, Markus J.; Ritchie, Robert O. Annual Review of Materials Research, Vol. 40, Issue 1 https://doi.org/10.1146/annurev-matsci-070909-104427	journal	June 2010
Atomistic simulations of nanoscale crack-vacancy interaction in graphene Dewapriya, M. A. N.; Meguid, S. A. Carbon, Vol. 125 https://doi.org/10.1016/j.carbon.2017.09.015	journal	December 2017
Flaw Tolerance in a Thin Strip Under Tension Gao, Huajian; Chen, Shaohua Journal of Applied Mechanics, Vol. 72, Issue 5 https://doi.org/10.1115/1.1988348	journal	January 2005
Strengthening in Graphene Oxide Nanosheets: Bridging the Gap between Interplanar and Intraplanar Fracture Cao, Changhong; Daly, Matthew; Chen, Brandon Nano Letters, Vol. 15, Issue 10 https://doi.org/10.1021/acs.nanolett.5b02173	journal	September 2015
Grains and grain boundaries in single-layer graphene atomic patchwork quilts Huang, Pinshane Y.; Ruiz-Vargas, Carlos S.; van der Zande, Arend M. Nature, Vol. 469, Issue 7330, p. 389-392 https://doi.org/10.1038/nature09718	journal	January 2011
Flaw Insensitive Fracture in Nanocrystalline Graphene Zhang, Teng; Li, Xiaoyan; Kadkhodaei, Sara Nano Letters, Vol. 12, Issue 9 https://doi.org/10.1021/nl301908b	journal	January 2012
Advances in finite element modelling of graphene and associated nanostructures Chandra, Y.; Adhikari, S.; Saavedra Flores, E. I. Materials Science and Engineering: R: Reports, Vol. 140 https://doi.org/10.1016/j.mser.2020.100544	journal	April 2020
Large Elastic Deformation and Defect Tolerance of Hexagonal Boron Nitride Monolayers Han, Ying; Feng, Shizhe; Cao, Ke Cell Reports Physical Science, Vol. 1, Issue 8 https://doi.org/10.1016/j.xcrp.2020.100172	journal	August 2020
Toughness and strength of nanocrystalline graphene Shekhawat, Ashivni; Ritchie, Robert O. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms10546	journal	January 2016
A deep learning augmented genetic algorithm approach to polycrystalline 2D material fracture discovery and design Lew, Andrew J.; Buehler, Markus J. Applied Physics Reviews, Vol. 8, Issue 4 https://doi.org/10.1063/5.0057162	journal	December 2021
Application of Machine-Learning to Construct Simulation Models from High-Resolution Fractured Formation Santoso, Ryan; He, Xupeng; Hoteit, Hussein Day 2 Tue, November 12, 2019 https://doi.org/10.2118/197439-MS	conference	November 2019
High strength measurement of monolayer graphene oxide Cao, Changhong; Daly, Matthew; Singh, Chandra Veer Carbon, Vol. 81 https://doi.org/10.1016/j.carbon.2014.09.082	journal	January 2015
Electromechanical Resonators from Graphene Sheets Bunch, J. S.; van der Zande, A. M.; Verbridge, S. S. Science, Vol. 315, Issue 5811 https://doi.org/10.1126/science.1136836	journal	January 2007
Nanotwinned diamond with unprecedented hardness and stability Huang, Quan; Yu, Dongli; Xu, Bo Nature, Vol. 510, Issue 7504 https://doi.org/10.1038/nature13381	journal	June 2014
Graphene: Status and Prospects Geim, A. K. Science, Vol. 324, Issue 5934, p. 1530-1534 https://doi.org/10.1126/science.1158877	journal	June 2009
Plasticity and toughness in bone Ritchie, Robert O.; Buehler, Markus J.; Hansma, Paul Physics Today, Vol. 62, Issue 6 https://doi.org/10.1063/1.3156332	journal	June 2009
In situ microscopy techniques for characterizing the mechanical properties and deformation behavior of two-dimensional (2D) materials Li, Peifeng; Kang, Zhuo; Zhang, Zheng Materials Today, Vol. 51 https://doi.org/10.1016/j.mattod.2021.10.009	journal	December 2021
Intrinsic toughening and stable crack propagation in hexagonal boron nitride Yang, Yingchao; Song, Zhigong; Lu, Guangyuan Nature, Vol. 594, Issue 7861 https://doi.org/10.1038/s41586-021-03488-1	journal	June 2021
Large-Area Vapor-Phase Growth and Characterization of MoS₂ Atomic Layers on a SiO₂ Substrate Zhan, Yongjie; Liu, Zheng; Najmaei, Sina Small, Vol. 8, Issue 7, p. 966-971 https://doi.org/10.1002/smll.201102654	journal	February 2012
Combined molecular dynamics and phase-field modelling of crack propagation in defective graphene Hansen-Dörr, Arne Claus; Wilkens, Lennart; Croy, Alexander Computational Materials Science, Vol. 163 https://doi.org/10.1016/j.commatsci.2019.03.028	journal	June 2019
Atomically Sharp Crack Tips in Monolayer MoS ₂ and Their Enhanced Toughness by Vacancy Defects Wang, Shanshan; Qin, Zhao; Jung, Gang Seob ACS Nano, Vol. 10, Issue 11 https://doi.org/10.1021/acsnano.6b05435	journal	September 2016
Impermeable Atomic Membranes from Graphene Sheets Bunch, J. Scott; Verbridge, Scott S.; Alden, Jonathan S. Nano Letters, Vol. 8, Issue 8 https://doi.org/10.1021/nl801457b	journal	August 2008
Fracture Characteristics of Monolayer CVD-Graphene Hwangbo, Yun; Lee, Choong-Kwang; Kim, Sang-Min Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep04439	journal	March 2014
Toughening Graphene by Integrating Carbon Nanotubes Hacopian, Emily F.; Yang, Yingchao; Ni, Bo ACS Nano, Vol. 12, Issue 8 https://doi.org/10.1021/acsnano.8b02311	journal	July 2018
Tuning Mechanical Properties in Polycrystalline Solids Using a Deep Generative Framework Hsu, Yu-Chuan; Yu, Chi-Hua; Buehler, Markus J. Advanced Engineering Materials, Vol. 23, Issue 4 https://doi.org/10.1002/adem.202001339	journal	January 2021
Designing graphene structures with controlled distributions of topological defects: A case study of toughness enhancement in graphene ruga Zhang, Teng; Li, Xiaoyan; Gao, Huajian Extreme Mechanics Letters, Vol. 1 https://doi.org/10.1016/j.eml.2014.12.007	journal	December 2014
Artificial intelligence design algorithm for nanocomposites optimized for shear crack resistance Yu, Chi-Hua; Qin, Zhao; Buehler, Markus J. Nano Futures, Vol. 3, Issue 3 https://doi.org/10.1088/2399-1984/ab36f0	journal	August 2019
Automated identification and characterization of two-dimensional materials via machine learning-based processing of optical microscope images Yang, Juntan; Yao, Haimin Extreme Mechanics Letters, Vol. 39 https://doi.org/10.1016/j.eml.2020.100771	journal	September 2020
ReaxFF: A Reactive Force Field for Hydrocarbons van Duin, Adri C. T.; Dasgupta, Siddharth; Lorant, Francois The Journal of Physical Chemistry A, Vol. 105, Issue 41 https://doi.org/10.1021/jp004368u	journal	October 2001
Peridynamic Simulation of Fracture in Polycrystalline Graphene Liu, Xuefeng; He, Xiaoqiao; Oterkus, Erkan Journal of Peridynamics and Nonlocal Modeling https://doi.org/10.1007/s42102-021-00073-y	journal	January 2022
Interlocking Friction Governs the Mechanical Fracture of Bilayer MoS ₂ Jung, Gang Seob; Wang, Shanshan; Qin, Zhao ACS Nano, Vol. 12, Issue 4 https://doi.org/10.1021/acsnano.8b00712	journal	March 2018
Improved long-range reactive bond-order potential for carbon. I. Construction Los, Jan H.; Ghiringhelli, Luca M.; Meijer, Evert Jan Physical Review B, Vol. 72, Issue 21 https://doi.org/10.1103/PhysRevB.72.214102	journal	December 2005
Deep learning model to predict fracture mechanisms of graphene Lew, Andrew J.; Yu, Chi-Hua; Hsu, Yu-Chuan npj 2D Materials and Applications, Vol. 5, Issue 1 https://doi.org/10.1038/s41699-021-00228-x	journal	April 2021
Machine learning based interatomic potential for amorphous carbon Deringer, Volker L.; Csányi, Gábor Physical Review B, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevB.95.094203	journal	March 2017
Measurement of the Elastic Properties and Intrinsic Strength of Monolayer Graphene Lee, C.; Wei, X.; Kysar, J. W. Science, Vol. 321, Issue 5887, p. 385-388 https://doi.org/10.1126/science.1157996	journal	July 2008
Asynchronous cracking with dissimilar paths in multilayer graphene Jang, Bongkyun; Kim, Byungwoon; Kim, Jae-Hyun Nanoscale, Vol. 9, Issue 44 https://doi.org/10.1039/C7NR04443G	journal	January 2017
Identification and characterization of fracture in metals using machine learning based texture recognition algorithms Naik, Dayakar L.; Kiran, Ravi Engineering Fracture Mechanics, Vol. 219 https://doi.org/10.1016/j.engfracmech.2019.106618	journal	October 2019
Synthesis and properties of free-standing monolayer amorphous carbon Toh, Chee-Tat; Zhang, Hongji; Lin, Junhao Nature, Vol. 577, Issue 7789 https://doi.org/10.1038/s41586-019-1871-2	journal	January 2020
Dislocation Shielding of a Nanocrack in Graphene: Atomistic Simulations and Continuum Modeling Meng, Fanchao; Chen, Cheng; Song, Jun The Journal of Physical Chemistry Letters, Vol. 6, Issue 20 https://doi.org/10.1021/acs.jpclett.5b01815	journal	September 2015
Mechanical and Electrical Anisotropy of Few-Layer Black Phosphorus Tao, Jin; Shen, Wanfu; Wu, Sen ACS Nano, Vol. 9, Issue 11 https://doi.org/10.1021/acsnano.5b05151	journal	October 2015
Strengthening Materials by Engineering Coherent Internal Boundaries at the Nanoscale Lu, K.; Lu, L.; Suresh, S. Science, Vol. 324, Issue 5925 https://doi.org/10.1126/science.1159610	journal	April 2009
Molecular dynamics study on the mechanical response and failure behaviour of graphene: performance enhancement via 5–7–7–5 defects Rajasekaran, G.; Parashar, Avinash RSC Advances, Vol. 6, Issue 31 https://doi.org/10.1039/C6RA01762B	journal	January 2016
Enhancement of fracture toughness of graphene via crack bridging with stone-thrower-wales defects Rajasekaran, G.; Parashar, Avinash Diamond and Related Materials, Vol. 74 https://doi.org/10.1016/j.diamond.2017.02.015	journal	April 2017
Ductile and brittle crystals Kelly, A.; Tyson, W. R.; Cottrell, A. H. The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics, Vol. 15, Issue 135 https://doi.org/10.1080/14786436708220903	journal	March 1967
Multi-Scale Structure–Mechanical Property Relations of Graphene-Based Layer Materials Liu, Jingran; Qin, Huasong; Liu, Yilun Materials, Vol. 14, Issue 16 https://doi.org/10.3390/ma14164757	journal	August 2021
Using Deep Learning to Predict Fracture Patterns in Crystalline Solids Hsu, Yu-Chuan; Yu, Chi-Hua; Buehler, Markus J. Matter, Vol. 3, Issue 1 https://doi.org/10.1016/j.matt.2020.04.019	journal	July 2020
Deep-learning-assisted detection and segmentation of rib fractures from CT scans: Development and validation of FracNet Jin, Liang; Yang, Jiancheng; Kuang, Kaiming eBioMedicine, Vol. 62 https://doi.org/10.1016/j.ebiom.2020.103106	journal	December 2020

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