{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T19:00:32Z","timestamp":1754161232314,"version":"3.41.2"},"reference-count":115,"publisher":"American Physical Society (APS)","issue":"3","license":[{"start":{"date-parts":[[2023,9,12]],"date-time":"2023-09-12T00:00:00Z","timestamp":1694476800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-license"},{"start":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T00:00:00Z","timestamp":1726012800000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-accepted-manuscript-license"}],"funder":[{"DOI":"10.13039\/100017241","name":"Maryland Advanced Research Computing Center","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100017241","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000005","name":"U.S. Department of Defense","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000005","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006234","name":"Sandia National Laboratories","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100006234","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006754","name":"Army Research Laboratory","doi-asserted-by":"publisher","award":["W911NF-12-2-0022"],"award-info":[{"award-number":["W911NF-12-2-0022"]}],"id":[{"id":"10.13039\/100006754","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000015","name":"U.S. Department of Energy","doi-asserted-by":"publisher","award":["DE-NA0003525"],"award-info":[{"award-number":["DE-NA0003525"]}],"id":[{"id":"10.13039\/100000015","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2023,8,24]]},"DOI":"10.1103\/physreve.108.034902","type":"journal-article","created":{"date-parts":[[2023,9,12]],"date-time":"2023-09-12T10:09:00Z","timestamp":1694513340000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":5,"title":["Universal behavior in fragmenting brittle, isotropic solids across material properties"],"prefix":"10.1103","volume":"108","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1032-3925","authenticated-orcid":true,"given":"Joel T.","family":"Clemmer","sequence":"first","affiliation":[{"name":"Sandia National Laboratories, Albuquerque, New Mexico 87185, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mark O.","family":"Robbins","sequence":"additional","affiliation":[{"name":"Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"16","published-online":{"date-parts":[[2023,9,12]]},"reference":[{"key":"PhysRevE.108.034902Cc1R1","first-page":"134","volume":"62","author":"C.\u00a0S. Gaines","year":"1985","journal-title":"Cereal Chem."},{"key":"PhysRevE.108.034902Cc2R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcs.2012.02.015"},{"key":"PhysRevE.108.034902Cc3R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.measurement.2013.06.035"},{"key":"PhysRevE.108.034902Cc4R1","doi-asserted-by":"publisher","DOI":"10.1016\/0191-8141(89)90099-0"},{"key":"PhysRevE.108.034902Cc5R1","doi-asserted-by":"publisher","DOI":"10.1029\/JB095iB05p07007"},{"key":"PhysRevE.108.034902Cc6R1","doi-asserted-by":"publisher","DOI":"10.1007\/s00024-009-0518-x"},{"key":"PhysRevE.108.034902Cc7R1","doi-asserted-by":"publisher","DOI":"10.1016\/0019-1035(85)90128-9"},{"key":"PhysRevE.108.034902Cc8R1","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.earth.28.1.367"},{"key":"PhysRevE.108.034902Cc9R1","doi-asserted-by":"publisher","DOI":"10.3847\/PSJ\/ac91cc"},{"key":"PhysRevE.108.034902Cc10R1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1551-2916.2007.01515.x"},{"key":"PhysRevE.108.034902Cc11R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijimpeng.2016.12.008"},{"key":"PhysRevE.108.034902Cc12R1","doi-asserted-by":"publisher","DOI":"10.1111\/jace.18071"},{"key":"PhysRevE.108.034902Cc13R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmps.2006.11.003"},{"key":"PhysRevE.108.034902Cc14R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmps.2006.11.004"},{"key":"PhysRevE.108.034902Cc15R1","doi-asserted-by":"publisher","DOI":"10.1111\/jace.16376"},{"key":"PhysRevE.108.034902Cc16R1","doi-asserted-by":"publisher","DOI":"10.1115\/1.4049807"},{"key":"PhysRevE.108.034902Cc17R1","doi-asserted-by":"publisher","DOI":"10.1029\/JB091iB02p01921"},{"key":"PhysRevE.108.034902Cc18R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.71.3107"},{"key":"PhysRevE.108.034902Cc19R1","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(96)01012-2"},{"key":"PhysRevE.108.034902Cc20R1","doi-asserted-by":"publisher","DOI":"10.1007\/s100510050476"},{"key":"PhysRevE.108.034902Cc21R1","doi-asserted-by":"publisher","DOI":"10.3208\/sandf.42.139"},{"key":"PhysRevE.108.034902Cc22R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.92.245506"},{"key":"PhysRevE.108.034902Cc23R1","doi-asserted-by":"publisher","DOI":"10.1680\/geot.2004.54.3.157"},{"key":"PhysRevE.108.034902Cc24R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.77.051302"},{"key":"PhysRevE.108.034902Cc25R1","doi-asserted-by":"publisher","DOI":"10.1007\/s10704-008-9267-6"},{"key":"PhysRevE.108.034902Cc26R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.104.095502"},{"key":"PhysRevE.108.034902Cc27R1","doi-asserted-by":"publisher","DOI":"10.1680\/geot.9.P.114"},{"key":"PhysRevE.108.034902Cc28R1","doi-asserted-by":"publisher","DOI":"10.1007\/s10035-017-0756-z"},{"key":"PhysRevE.108.034902Cc29R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.powtec.2018.03.001"},{"key":"PhysRevE.108.034902Cc30R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.99.012904"},{"key":"PhysRevE.108.034902Cc31R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.38.364"},{"key":"PhysRevE.108.034902Cc32R1","doi-asserted-by":"publisher","DOI":"10.1016\/0378-4371(96)00048-9"},{"key":"PhysRevE.108.034902Cc33R1","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2007.1898"},{"key":"PhysRevE.108.034902Cc34R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.129.078002"},{"key":"PhysRevE.108.034902Cc35R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.67.1334"},{"key":"PhysRevE.108.034902Cc36R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.46.14519"},{"key":"PhysRevE.108.034902Cc37R1","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-1573(98)00008-8"},{"key":"PhysRevE.108.034902Cc38R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.59.6106"},{"key":"PhysRevE.108.034902Cc39R1","doi-asserted-by":"publisher","DOI":"10.1038\/35065675"},{"key":"PhysRevE.108.034902Cc40R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.105.035501"},{"key":"PhysRevE.108.034902Cc41R1","doi-asserted-by":"publisher","DOI":"10.1007\/s00024-011-0269-3"},{"key":"PhysRevE.108.034902Cc42R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.109.105703"},{"key":"PhysRevE.108.034902Cc43R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.88.062206"},{"key":"PhysRevE.108.034902Cc44R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1406391111"},{"key":"PhysRevE.108.034902Cc45R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.96.052902"},{"key":"PhysRevE.108.034902Cc46R1","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/118\/14004"},{"key":"PhysRevE.108.034902Cc47R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.100.042121"},{"key":"PhysRevE.108.034902Cc48R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.84.3061"},{"key":"PhysRevE.108.034902Cc49R1","doi-asserted-by":"publisher","DOI":"10.1146\/annurev-conmatphys-070909-104025"},{"key":"PhysRevE.108.034902Cc50R1","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/849231"},{"key":"PhysRevE.108.034902Cc51R1","doi-asserted-by":"publisher","DOI":"10.1088\/1757-899X\/276\/1\/012027"},{"key":"PhysRevE.108.034902Cc52R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.engfracmech.2021.108036"},{"key":"PhysRevE.108.034902Cc53R1","doi-asserted-by":"publisher","DOI":"10.1002\/nme.5317"},{"key":"PhysRevE.108.034902Cc54R1","doi-asserted-by":"publisher","DOI":"10.1007\/s40870-018-0174-2"},{"key":"PhysRevE.108.034902Cc55R1","doi-asserted-by":"publisher","DOI":"10.1680\/geot.1979.29.1.47"},{"key":"PhysRevE.108.034902Cc56R1","doi-asserted-by":"publisher","DOI":"10.4279\/pip.140010"},{"key":"PhysRevE.108.034902Cc57R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2020.112961"},{"key":"PhysRevE.108.034902Cc58R1","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2009.0205"},{"key":"PhysRevE.108.034902Cc59R1","doi-asserted-by":"publisher","DOI":"10.1007\/s10035-020-01038-6"},{"key":"PhysRevE.108.034902Cc60R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.39.637"},{"key":"PhysRevE.108.034902Cc61R1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00874324"},{"key":"PhysRevE.108.034902Cc62R1","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9399(1995)121:9(1016)"},{"key":"PhysRevE.108.034902Cc63R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijrmms.2004.09.011"},{"key":"PhysRevE.108.034902Cc64R1","doi-asserted-by":"publisher","DOI":"10.1007\/s00024-008-0315-y"},{"key":"PhysRevE.108.034902Cc65R1","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)GT.1943-5606.0000133"},{"key":"PhysRevE.108.034902Cc66R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2011.12.002"},{"key":"PhysRevE.108.034902Cc67R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jrmge.2013.12.007"},{"key":"PhysRevE.108.034902Cc68R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.2786010"},{"key":"PhysRevE.108.034902Cc69R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.37.5500"},{"key":"PhysRevE.108.034902Cc70R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.39.9273"},{"key":"PhysRevE.108.034902Cc71R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmat.2023.104693"},{"key":"PhysRevE.108.034902Cc72R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.1750479"},{"key":"PhysRevE.108.034902Cc73R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.145.637"},{"key":"PhysRevE.108.034902Cc74R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1717442115"},{"key":"PhysRevE.108.034902Cc75R1","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1995.1039"},{"key":"PhysRevE.108.034902Cc76R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2021.108171"},{"key":"PhysRevE.108.034902Cc77R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.74.016118"},{"key":"PhysRevE.108.034902Cc78R1","doi-asserted-by":"publisher","DOI":"10.1088\/0953-8984\/20\/24\/244128"},{"key":"PhysRevE.108.034902Cc79R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.103.042605"},{"key":"PhysRevE.108.034902Cc80R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.103.042606"},{"key":"PhysRevE.108.034902Cc81R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.76.2318"},{"key":"PhysRevE.108.034902Cc82R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.55.3445"},{"key":"PhysRevE.108.034902Cc83R1","doi-asserted-by":"publisher","DOI":"10.1146\/annurev-conmatphys-070909-104045"},{"key":"PhysRevE.108.034902Cc84R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.474784"},{"volume-title":"Statistical Mechanics: Entropy, Order Parameters and Complexity","year":"2006","author":"J. Sethna","key":"PhysRevE.108.034902Cc85R1"},{"key":"PhysRevE.108.034902Cc86R1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5096(87)90036-6"},{"key":"PhysRevE.108.034902Cc87R1","doi-asserted-by":"publisher","DOI":"10.1002\/nag.811"},{"key":"PhysRevE.108.034902Cc88R1","doi-asserted-by":"publisher","DOI":"10.1002\/nag.930"},{"key":"PhysRevE.108.034902Cc89R1","doi-asserted-by":"publisher","DOI":"10.1007\/s00466-014-1075-4"},{"key":"PhysRevE.108.034902Cc90R1","doi-asserted-by":"crossref","DOI":"10.1115\/1.801535","volume-title":"The Stress Analysis of Cracks Handbook","author":"H. Tada","year":"2000"},{"key":"PhysRevE.108.034902Cc91R1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00032282"},{"key":"PhysRevE.108.034902Cc92R1","doi-asserted-by":"publisher","DOI":"10.1016\/S1365-1609(02)00066-7"},{"key":"PhysRevE.108.034902Cc93R1","doi-asserted-by":"publisher","DOI":"10.1016\/S1365-1609(03)00003-0"},{"key":"PhysRevE.108.034902Cc94R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.127.268003"},{"key":"PhysRevE.108.034902Cc95R1","doi-asserted-by":"publisher","DOI":"10.1016\/0301-9322(92)90074-Q"},{"key":"PhysRevE.108.034902Cc96R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.4901276"},{"key":"PhysRevE.108.034902Cc97R1","doi-asserted-by":"publisher","DOI":"10.1080\/08927022.2015.1051043"},{"key":"PhysRevE.108.034902Cc98R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.4972894"},{"key":"PhysRevE.108.034902Cc99R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijimpeng.2016.09.012"},{"key":"PhysRevE.108.034902Cc100R1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6636(85)90028-6"},{"key":"PhysRevE.108.034902Cc101R1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00274593"},{"key":"PhysRevE.108.034902Cc102R1","doi-asserted-by":"publisher","DOI":"10.1007\/s10704-006-7135-9"},{"key":"PhysRevE.108.034902Cc103R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmps.2009.09.002"},{"key":"PhysRevE.108.034902Cc104R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.48.7030"},{"key":"PhysRevE.108.034902Cc105R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.86.1785"},{"key":"PhysRevE.108.034902Cc106R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.085702"},{"key":"PhysRevE.108.034902Cc107R1","doi-asserted-by":"publisher","DOI":"10.1038\/nature04801"},{"key":"PhysRevE.108.034902Cc108R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.78.011307"},{"key":"PhysRevE.108.034902Cc109R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevFluids.2.102301"},{"key":"PhysRevE.108.034902Cc110R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.91.062206"},{"key":"PhysRevE.108.034902Cc111R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.3.L032042"},{"key":"PhysRevE.108.034902Cc112R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.98.050901"},{"key":"PhysRevE.108.034902Cc113R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.82.061301"},{"key":"PhysRevE.108.034902Cc114R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.powtec.2016.03.035"},{"key":"PhysRevE.108.034902Cc115R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.95.013003"}],"container-title":["Physical Review E"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/accepted\/10.1103\/PhysRevE.108.034902","content-type":"application\/pdf","content-version":"am","intended-application":"unspecified"},{"URL":"https:\/\/link.aps.org\/article\/10.1103\/PhysRevE.108.034902","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/PhysRevE.108.034902\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,28]],"date-time":"2025-07-28T17:41:51Z","timestamp":1753724511000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevE.108.034902"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9,12]]},"references-count":115,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2023,9]]}},"URL":"https:\/\/doi.org\/10.1103\/physreve.108.034902","relation":{},"ISSN":["2470-0045","2470-0053"],"issn-type":[{"type":"print","value":"2470-0045"},{"type":"electronic","value":"2470-0053"}],"subject":[],"published":{"date-parts":[[2023,9,12]]},"assertion":[{"value":"2023-06-21","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"\u00a92023 American Physical Society","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2023","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"American Physical Society","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"034902"}}