{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T06:45:23Z","timestamp":1782888323008,"version":"3.54.5"},"reference-count":66,"publisher":"Royal Society of Chemistry (RSC)","issue":"11","license":[{"start":{"date-parts":[[2027,2,6]],"date-time":"2027-02-06T00:00:00Z","timestamp":1801872000000},"content-version":"am","delay-in-days":401,"URL":"http:\/\/rsc.li\/journals-terms-of-use"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52465021"],"award-info":[{"award-number":["52465021"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["rsc.org"],"crossmark-restriction":true},"short-container-title":["Nanoscale"],"abstract":"<jats:p>Resonance-induced nonmonotonic reduction of fatigue life with different notch shapes.<\/jats:p>","DOI":"10.1039\/d5nr04246a","type":"journal-article","created":{"date-parts":[[2026,2,6]],"date-time":"2026-02-06T15:21:07Z","timestamp":1770391267000},"page":"5928-5940","update-policy":"https:\/\/doi.org\/10.1039\/rsc_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Resonance-induced fatigue characteristics of monolayer black phosphorus with different notch shapes"],"prefix":"10.1039","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8601-0378","authenticated-orcid":false,"given":"Yun","family":"Dong","sequence":"first","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuxin","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Futian","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xinyi","family":"Tang","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rong","family":"Deng","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jinguang","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, China"},{"name":"School of Mechanical Engineering, Shandong University, Shandong, 250100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bo","family":"Shi","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou, 730050, China"},{"name":"School of Materials Science and Engineering, Northwestern Polytechnical University, Xian, 710072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"292","published-online":{"date-parts":[[2026]]},"reference":[{"key":"D5NR04246A\/cit1\/1","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/j.prostr.2021.10.004","volume":"33","author":"Fajri","year":"2021","journal-title":"Procedia Struct. Integr."},{"key":"D5NR04246A\/cit2\/1","doi-asserted-by":"crossref","DOI":"10.31399\/asm.tb.ffub.9781627083034","volume-title":"Fatigue and fracture: understanding the basics","author":"Campbell","year":"2012","unstructured":"F. C.Campbell ,  Fatigue and fracture: understanding the basics ,  ASM international ,  2012"},{"key":"D5NR04246A\/cit3\/1","doi-asserted-by":"crossref","first-page":"e2302556","DOI":"10.1080\/17452759.2024.2302556","volume":"19","author":"Javidrad","year":"2024","journal-title":"Virtual Phys. Prototyping"},{"key":"D5NR04246A\/cit4\/1","doi-asserted-by":"crossref","first-page":"107185","DOI":"10.1016\/j.ijmecsci.2022.107185","volume":"221","author":"Peng","year":"2022","journal-title":"Int. J. Mech. Sci."},{"key":"D5NR04246A\/cit5\/1","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/978-0-387-48921-6_7","volume-title":"Bulk metallic glasses","author":"Wang","year":"2008","unstructured":"G.Wang  and  P.Liaw , in  Bulk metallic glasses ,  Springer ,  2008 , pp.  169\u2013203"},{"key":"D5NR04246A\/cit6\/1","doi-asserted-by":"crossref","first-page":"1946","DOI":"10.1016\/j.jmrt.2024.09.187","volume":"33","author":"Lashari","year":"2024","journal-title":"J. Mater. Res. Technol."},{"key":"D5NR04246A\/cit7\/1","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1177\/03093247211025208","volume":"57","author":"Kazakeviciute","year":"2021","journal-title":"J. Strain Anal. Eng. Des."},{"key":"D5NR04246A\/cit8\/1","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1016\/S0257-8972(02)00662-X","volume":"163","author":"Li","year":"2003","journal-title":"Surf. Coat. Technol."},{"key":"D5NR04246A\/cit9\/1","doi-asserted-by":"crossref","first-page":"1507","DOI":"10.1016\/j.wear.2005.01.010","volume":"259","author":"Bhushan","year":"2005","journal-title":"Wear"},{"key":"D5NR04246A\/cit10\/1","volume-title":"Fundamentals of materials science and engineering","author":"Callister","year":"2022","unstructured":"W. D.Callister  and  D. G.Rethwisch ,  Fundamentals of materials science and engineering ,  John Wiley & Sons ,  2022"},{"key":"D5NR04246A\/cit11\/1","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1515\/corrrev-2023-0142","volume":"42","author":"Kujawski","year":"2024","journal-title":"Corros. Rev."},{"key":"D5NR04246A\/cit12\/1","doi-asserted-by":"crossref","first-page":"103154","DOI":"10.1016\/j.tafmec.2021.103154","volume":"117","author":"Fatoba","year":"2022","journal-title":"Theor. Appl. Fract. Mech."},{"key":"D5NR04246A\/cit13\/1","doi-asserted-by":"crossref","first-page":"108639","DOI":"10.1016\/j.matdes.2020.108639","volume":"191","author":"Taddesse","year":"2020","journal-title":"Mater. Des."},{"key":"D5NR04246A\/cit14\/1","doi-asserted-by":"crossref","first-page":"109095","DOI":"10.1016\/j.matdes.2020.109095","volume":"196","author":"Zhu","year":"2020","journal-title":"Mater. Des."},{"key":"D5NR04246A\/cit15\/1","doi-asserted-by":"crossref","first-page":"104579","DOI":"10.1016\/j.tafmec.2024.104579","volume":"133","author":"Koz\u00e1kov\u00e1","year":"2024","journal-title":"Theor. Appl. Fract. Mech."},{"key":"D5NR04246A\/cit16\/1","doi-asserted-by":"crossref","first-page":"1715","DOI":"10.1111\/ffe.14268","volume":"47","author":"Liu","year":"2024","journal-title":"Fatigue Fract. Eng. Mater. Struct."},{"key":"D5NR04246A\/cit17\/1","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/j.actamat.2015.09.013","volume":"102","author":"Fan","year":"2016","journal-title":"Acta Mater."},{"key":"D5NR04246A\/cit18\/1","doi-asserted-by":"crossref","first-page":"065501","DOI":"10.1088\/1572-9494\/abf03c","volume":"73","author":"Yang","year":"2021","journal-title":"Commun. Theor. Phys."},{"key":"D5NR04246A\/cit19\/1","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1111\/ffe.13195","volume":"43","author":"Liao","year":"2020","journal-title":"Fatigue Fract. Eng. Mater. Struct."},{"key":"D5NR04246A\/cit20\/1","doi-asserted-by":"crossref","first-page":"1787","DOI":"10.1063\/1.1728832","volume":"33","author":"Grosskreutz","year":"1962","journal-title":"J. Appl. Phys."},{"key":"D5NR04246A\/cit21\/1","doi-asserted-by":"crossref","first-page":"3813","DOI":"10.1016\/0956-7151(95)90165-5","volume":"43","author":"Zhai","year":"1995","journal-title":"Acta Metall. Mater."},{"key":"D5NR04246A\/cit22\/1","doi-asserted-by":"crossref","first-page":"1687","DOI":"10.1016\/0956-7151(90)90011-5","volume":"38","author":"Tong-Guang","year":"1990","journal-title":"Acta Metall. Mater."},{"key":"D5NR04246A\/cit23\/1","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.1111\/ffe.12567","volume":"40","author":"Pol\u00e1k","year":"2017","journal-title":"Fatigue Fract. Eng. Mater. Struct."},{"key":"D5NR04246A\/cit24\/1","doi-asserted-by":"crossref","first-page":"119709","DOI":"10.1016\/j.actamat.2024.119709","volume":"267","author":"Pol\u00e1k","year":"2024","journal-title":"Acta Mater."},{"key":"D5NR04246A\/cit25\/1","doi-asserted-by":"crossref","first-page":"105570","DOI":"10.1016\/j.ijfatigue.2020.105570","volume":"135","author":"Akbarian","year":"2020","journal-title":"Int. J. Fatigue"},{"key":"D5NR04246A\/cit26\/1","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1126\/science.1157996","volume":"321","author":"Lee","year":"2008","journal-title":"Science"},{"key":"D5NR04246A\/cit27\/1","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1038\/nnano.2009.58","volume":"4","author":"Park","year":"2009","journal-title":"Nat. Nanotechnol."},{"key":"D5NR04246A\/cit28\/1","doi-asserted-by":"crossref","first-page":"1073","DOI":"10.1126\/science.1235126","volume":"340","author":"Lee","year":"2013","journal-title":"Science"},{"key":"D5NR04246A\/cit29\/1","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/j.pmatsci.2017.07.004","volume":"90","author":"Papageorgiou","year":"2017","journal-title":"Prog. Mater. Sci."},{"key":"D5NR04246A\/cit30\/1","doi-asserted-by":"crossref","first-page":"119499","DOI":"10.1016\/j.compstruct.2025.119499","volume":"371","author":"Liu","year":"2025","journal-title":"Compos. Struct."},{"key":"D5NR04246A\/cit31\/1","doi-asserted-by":"crossref","first-page":"2023","DOI":"10.1007\/s40843-023-2833-y","volume":"67","author":"Pei","year":"2024","journal-title":"Sci. China Mater."},{"key":"D5NR04246A\/cit32\/1","doi-asserted-by":"crossref","first-page":"eabb1335","DOI":"10.1126\/sciadv.abb1335","volume":"6","author":"Cui","year":"2020","journal-title":"Sci. Adv."},{"key":"D5NR04246A\/cit33\/1","doi-asserted-by":"crossref","first-page":"512","DOI":"10.1039\/D4NH00425F","volume":"10","author":"Kamal","year":"2025","journal-title":"Nanoscale Horiz."},{"key":"D5NR04246A\/cit34\/1","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/j.taml.2015.11.003","volume":"5","author":"Song","year":"2015","journal-title":"Theor. Appl. Mech. Lett."},{"key":"D5NR04246A\/cit35\/1","doi-asserted-by":"crossref","first-page":"786","DOI":"10.1038\/s41928-021-00670-1","volume":"4","author":"Das","year":"2021","journal-title":"Nat. Electron."},{"key":"D5NR04246A\/cit36\/1","doi-asserted-by":"crossref","DOI":"10.1201\/9780203738733","volume-title":"Statistical analysis of reliability and life-testing models: theory and methods","author":"Bain","year":"2017","unstructured":"L.Bain ,  Statistical analysis of reliability and life-testing models: theory and methods ,  CRC Press ,  2017"},{"key":"D5NR04246A\/cit37\/1","doi-asserted-by":"crossref","first-page":"131358","DOI":"10.1016\/j.surfcoat.2024.131358","volume":"494","author":"Chaves","year":"2024","journal-title":"Surf. Coat. Technol."},{"key":"D5NR04246A\/cit38\/1","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1007\/s11340-016-0199-1","volume":"57","author":"Zhang","year":"2016","journal-title":"Exp. Mech."},{"key":"D5NR04246A\/cit39\/1","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/j.actamat.2014.12.038","volume":"87","author":"Luo","year":"2015","journal-title":"Acta Mater."},{"key":"D5NR04246A\/cit40\/1","doi-asserted-by":"crossref","first-page":"032002","DOI":"10.1088\/2631-7990\/accda2","volume":"5","author":"Wang","year":"2023","journal-title":"Int. J. Extreme Manuf."},{"key":"D5NR04246A\/cit41\/1","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1038\/s41563-019-0586-y","volume":"19","author":"Cui","year":"2020","journal-title":"Nat. Mater."},{"key":"D5NR04246A\/cit42\/1","doi-asserted-by":"crossref","first-page":"780","DOI":"10.1016\/j.carbon.2021.07.062","volume":"183","author":"Najafi","year":"2021","journal-title":"Carbon"},{"key":"D5NR04246A\/cit43\/1","doi-asserted-by":"crossref","first-page":"3171","DOI":"10.1039\/D4CP04262J","volume":"27","author":"Dong","year":"2025","journal-title":"Phys. Chem. Chem. Phys."},{"key":"D5NR04246A\/cit44\/1","doi-asserted-by":"crossref","first-page":"2975","DOI":"10.1016\/j.matt.2022.06.014","volume":"5","author":"Cui","year":"2022","journal-title":"Matter"},{"key":"D5NR04246A\/cit45\/1","doi-asserted-by":"crossref","first-page":"eadx8192","DOI":"10.1126\/sciadv.adx8192","volume":"11","author":"Fan","year":"2025","journal-title":"Sci. Adv."},{"key":"D5NR04246A\/cit46\/1","doi-asserted-by":"crossref","first-page":"10731","DOI":"10.1021\/acs.nanolett.3c02479","volume":"23","author":"Manzanares-Negro","year":"2023","journal-title":"Nano Lett."},{"key":"D5NR04246A\/cit47\/1","doi-asserted-by":"crossref","first-page":"101942","DOI":"10.1016\/j.eml.2022.101942","volume":"58","author":"Liu","year":"2023","journal-title":"Extreme Mech. Lett."},{"key":"D5NR04246A\/cit48\/1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-030-35098-7","volume-title":"Fracture mechanics: an introduction","author":"Gdoutos","year":"2020","unstructured":"E. E.Gdoutos ,  Fracture mechanics: an introduction ,  Springer Nature ,  2020"},{"key":"D5NR04246A\/cit49\/1","doi-asserted-by":"crossref","first-page":"3832","DOI":"10.1103\/PhysRevLett.74.3832","volume":"74","author":"Sturhahn","year":"1995","journal-title":"Phys. Rev. Lett."},{"key":"D5NR04246A\/cit50\/1","doi-asserted-by":"crossref","first-page":"6991","DOI":"10.1103\/PhysRevB.37.6991","volume":"37","author":"Tersoff","year":"1988","journal-title":"Phys. Rev. B: Condens. Matter Mater. Phys."},{"key":"D5NR04246A\/cit51\/1","doi-asserted-by":"crossref","first-page":"315706","DOI":"10.1088\/0957-4484\/26\/31\/315706","volume":"26","author":"Jiang","year":"2015","journal-title":"Nanotechnology"},{"key":"D5NR04246A\/cit52\/1","doi-asserted-by":"crossref","first-page":"6059","DOI":"10.1039\/C4NR07341J","volume":"7","author":"Jiang","year":"2015","journal-title":"Nanoscale"},{"key":"D5NR04246A\/cit53\/1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1006\/jcph.1995.1039","volume":"117","author":"Plimpton","year":"1995","journal-title":"J. Comput. Phys."},{"key":"D5NR04246A\/cit54\/1","doi-asserted-by":"crossref","first-page":"015012","DOI":"10.1088\/0965-0393\/18\/1\/015012","volume":"18","author":"Stukowski","year":"2010","journal-title":"Modell. Simul. Mater. Sci. Eng."},{"key":"D5NR04246A\/cit55\/1","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1016\/S0142-1123(03)00051-3","volume":"25","author":"Schijve","year":"2003","journal-title":"Int. J. Fatigue"},{"key":"D5NR04246A\/cit56\/1","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/j.carbon.2009.09.011","volume":"48","author":"Ozkan","year":"2010","journal-title":"Carbon"},{"key":"D5NR04246A\/cit57\/1","doi-asserted-by":"crossref","first-page":"3782","DOI":"10.1038\/ncomms4782","volume":"5","author":"Zhang","year":"2014","journal-title":"Nat. Commun."},{"key":"D5NR04246A\/cit58\/1","doi-asserted-by":"crossref","first-page":"1710","DOI":"10.1016\/j.carbon.2010.12.056","volume":"49","author":"Arshad","year":"2011","journal-title":"Carbon"},{"key":"D5NR04246A\/cit59\/1","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1038\/s41524-018-0105-8","volume":"4","author":"Li","year":"2018","journal-title":"npj Comput. Mater."},{"key":"D5NR04246A\/cit60\/1","doi-asserted-by":"crossref","first-page":"035105","DOI":"10.1103\/PhysRevB.86.035105","volume":"86","author":"Appalakondaiah","year":"2012","journal-title":"Phys. Rev. B: Condens. Matter Mater. Phys."},{"key":"D5NR04246A\/cit61\/1","doi-asserted-by":"crossref","first-page":"285711","DOI":"10.1088\/1361-6528\/ab86ec","volume":"31","author":"Dong","year":"2020","journal-title":"Nanotechnology"},{"key":"D5NR04246A\/cit62\/1","doi-asserted-by":"crossref","first-page":"652","DOI":"10.1016\/j.jmps.2012.08.004","volume":"61","author":"Cook","year":"2013","journal-title":"J. Mech. Phys. Solids"},{"key":"D5NR04246A\/cit63\/1","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1177\/1056789504041058","volume":"13","author":"Basaran","year":"2004","journal-title":"Int. J. Damage Mech."},{"key":"D5NR04246A\/cit64\/1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-74252-4","volume-title":"Understanding non-equilibrium thermodynamics","author":"Lebon","year":"2008","unstructured":"G.Lebon ,  D.Jou  and  J.Casas-V\u00e1zquez ,  Understanding non-equilibrium thermodynamics ,  Springer ,  2008"},{"key":"D5NR04246A\/cit65\/1","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1016\/S0142-1123(01)00027-5","volume":"23","author":"Duyi","year":"2001","journal-title":"Int. J. Fatigue"},{"key":"D5NR04246A\/cit66\/1","doi-asserted-by":"crossref","first-page":"109095","DOI":"10.1016\/j.matdes.2020.109095","volume":"196","author":"Zhu","year":"2020","journal-title":"Mater. Des."}],"container-title":["Nanoscale"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/pubs.rsc.org\/en\/content\/articlepdf\/2026\/NR\/D5NR04246A","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T05:14:21Z","timestamp":1782882861000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.rsc.org\/nr\/article\/18\/11\/5928-5940\/902081"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026]]},"references-count":66,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2026,3,19]]}},"URL":"https:\/\/doi.org\/10.1039\/d5nr04246a","relation":{},"ISSN":["2040-3364","2040-3372"],"issn-type":[{"value":"2040-3364","type":"print"},{"value":"2040-3372","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026]]}}}