000019499 001__ 19499
000019499 005__ 20230217124333.0
000019499 0247_ $$2DOI$$a10.1103/PhysRevE.83.046213
000019499 0247_ $$2WOS$$aWOS:000290116400001
000019499 0247_ $$2Handle$$a2128/9272
000019499 037__ $$aPreJuSER-19499
000019499 041__ $$aeng
000019499 082__ $$a530
000019499 084__ $$2WoS$$aPhysics, Fluids & Plasmas
000019499 084__ $$2WoS$$aPhysics, Mathematical
000019499 1001_ $$0P:(DE-HGF)0$$aFleck, M.$$b0
000019499 245__ $$aBrittle fracture in viscoelastic materials as a pattern-formation process
000019499 260__ $$aCollege Park, Md.$$bAPS$$c2011
000019499 264_1 $$2Crossref$$3online$$bAmerican Physical Society (APS)$$c2011-04-20
000019499 264_1 $$2Crossref$$3print$$bAmerican Physical Society (APS)$$c2011-04-01
000019499 300__ $$a046213
000019499 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article
000019499 3367_ $$2DataCite$$aOutput Types/Journal article
000019499 3367_ $$00$$2EndNote$$aJournal Article
000019499 3367_ $$2BibTeX$$aARTICLE
000019499 3367_ $$2ORCID$$aJOURNAL_ARTICLE
000019499 3367_ $$2DRIVER$$aarticle
000019499 440_0 $$04924$$aPhysical Review E$$v83$$x1539-3755$$y4
000019499 500__ $$3POF3_Assignment on 2016-02-29
000019499 500__ $$aM. F. and D. P. are thankful for support by DFG Grant No. SPP 1418 and R. S. for support by DFG Grant No. SPP 1296. E. B. gratefully acknowledges support by the Erna and Jacob Michael visiting professorship funds at the Weizmann Institute of Science, Rehovot.
000019499 520__ $$aA continuum model of crack propagation in brittle viscoelastic materials is presented and discussed. Thereby, the phenomenon of fracture is understood as an elastically induced nonequilibrium interfacial pattern formation process. In this spirit, a full description of a propagating crack provides the determination of the entire time dependent shape of the crack surface, which is assumed to be extended over a finite and self-consistently selected length scale. The mechanism of crack propagation, that is, the motion of the crack surface, is then determined through linear nonequilibrium transport equations. Here we consider two different mechanisms, a first-order phase transformation and surface diffusion. We give scaling arguments showing that steady-state solutions with a self-consistently selected propagation velocity and crack shape can exist provided that elastodynamic or viscoelastic effects are taken into account, whereas static elasticity alone is not sufficient. In this respect, inertial effects as well as viscous damping are identified to be sufficient crack tip selection mechanisms. Exploring the arising description of brittle fracture numerically, we study steady-state crack propagation in the viscoelastic and inertia limit as well as in an intermediate regime, where both effects are important. The arising free boundary problems are solved by phase field methods and a sharp interface approach using a multipole expansion technique. Different types of loading, mode I, mode III fracture, as well as mixtures of them, are discussed.
000019499 536__ $$0G:(DE-Juel1)FUEK412$$2G:(DE-HGF)$$aGrundlagen für zukünftige Informationstechnologien$$cP42$$x0
000019499 542__ $$2Crossref$$i2011-04-20$$uhttp://link.aps.org/licenses/aps-default-license
000019499 588__ $$aDataset connected to Web of Science
000019499 650_7 $$2WoSType$$aJ
000019499 7001_ $$0P:(DE-HGF)0$$aPilipenko, D.$$b1
000019499 7001_ $$0P:(DE-HGF)0$$aSpatschek, R.$$b2
000019499 7001_ $$0P:(DE-Juel1)VDB2069$$aBrener, E. A.$$b3$$uFZJ
000019499 77318 $$2Crossref$$3journal-article$$a10.1103/physreve.83.046213$$bAmerican Physical Society (APS)$$d2011-04-20$$n4$$p046213$$tPhysical Review E$$v83$$x1539-3755$$y2011
000019499 773__ $$0PERI:(DE-600)2844562-4$$a10.1103/PhysRevE.83.046213$$gVol. 83, p. 046213$$n4$$p046213$$q83<046213$$tPhysical review / E$$v83$$x1539-3755$$y2011
000019499 8567_ $$uhttp://dx.doi.org/10.1103/PhysRevE.83.046213
000019499 8564_ $$uhttps://juser.fz-juelich.de/record/19499/files/PhysRevE.83.046213.pdf$$yOpenAccess
000019499 8564_ $$uhttps://juser.fz-juelich.de/record/19499/files/PhysRevE.83.046213.gif?subformat=icon$$xicon$$yOpenAccess
000019499 8564_ $$uhttps://juser.fz-juelich.de/record/19499/files/PhysRevE.83.046213.jpg?subformat=icon-180$$xicon-180$$yOpenAccess
000019499 8564_ $$uhttps://juser.fz-juelich.de/record/19499/files/PhysRevE.83.046213.jpg?subformat=icon-700$$xicon-700$$yOpenAccess
000019499 8564_ $$uhttps://juser.fz-juelich.de/record/19499/files/PhysRevE.83.046213.pdf?subformat=pdfa$$xpdfa$$yOpenAccess
000019499 909CO $$ooai:juser.fz-juelich.de:19499$$pdnbdelivery$$pVDB$$pdriver$$popen_access$$popenaire
000019499 915__ $$0StatID:(DE-HGF)0010$$aJCR/ISI refereed
000019499 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess
000019499 915__ $$0LIC:(DE-HGF)APS-112012$$2HGFVOC$$aAmerican Physical Society Transfer of Copyright Agreement
000019499 9141_ $$aIssue: 4  Article Number: 046213     Part 2$$y2011
000019499 9131_ $$0G:(DE-Juel1)FUEK412$$aDE-HGF$$bSchlüsseltechnologien$$kP42$$lGrundlagen für zukünftige Informationstechnologien (FIT)$$vGrundlagen für zukünftige Informationstechnologien$$x0
000019499 9132_ $$0G:(DE-HGF)POF3-529H$$1G:(DE-HGF)POF3-520$$2G:(DE-HGF)POF3-500$$aDE-HGF$$bKey Technologies$$lFuture Information Technology - Fundamentals, Novel Concepts and Energy Efficiency (FIT)$$vAddenda$$x0
000019499 9201_ $$0I:(DE-Juel1)PGI-2-20110106$$gPGI$$kPGI-2$$lTheoretische Nanoelektronik$$x0
000019499 970__ $$aVDB:(DE-Juel1)134353
000019499 980__ $$aVDB
000019499 980__ $$aConvertedRecord
000019499 980__ $$ajournal
000019499 980__ $$aI:(DE-Juel1)PGI-2-20110106
000019499 980__ $$aUNRESTRICTED
000019499 9801_ $$aFullTexts
000019499 999C5 $$1B. Lawn$$2Crossref$$9-- missing cx lookup --$$a10.1017/CBO9780511623127$$y1993
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1063/1.881515
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1098/rsta.1921.0006
000019499 999C5 $$1L. B. Freund$$2Crossref$$oL. B. Freund Dynamic Fracture Mechanics 1998$$tDynamic Fracture Mechanics$$y1998
000019499 999C5 $$1K. B. Broberg$$2Crossref$$oK. B. Broberg Cracks and Fracture 1999$$tCracks and Fracture$$y1999
000019499 999C5 $$1J. R. Rice$$2Crossref$$oJ. R. Rice Fracture: An Advanced Treatise 1968$$tFracture: An Advanced Treatise$$y1968
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.76.1497
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.82.2314
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.79.877
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.82.3823
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.74.5096
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.76.2117
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.67.457
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.53.5637
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/16891
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1209/0295-5075/30/6/004
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1051/jp2:1996144
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/S0370-1573(98)00085-4
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.77.869
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.78.479
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.78.689
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.79.1309
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1126/science.281.5379.943
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.68.036118
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0022-5096(94)00060-I
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1080/14786431003773015
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/j.actamat.2009.10.041
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1007/BF02642562
000019499 999C5 $$1M. A. Grinfeld$$2Crossref$$oM. A. Grinfeld 1986$$y1986
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0001-6160(89)90246-0
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.71.1593
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1209/0295-5075/28/4/005
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/0956-7151(94)90429-4
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.78.027101
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.67.016112
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.98.015503
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.96.015502
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.75.066111
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.101.205501
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/j.jmps.2008.10.012
000019499 999C5 $$1L. D. Landau$$2Crossref$$9-- missing cx lookup --$$a10.1063/1.3057037$$y1987
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1051/jp1:1993108
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1080/09500830701416618
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.85.118
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.87.045501
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.93.105504
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.62.1351
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.101.264302
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.101.264301
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.103.164301
000019499 999C5 $$1J. R. Rice$$2Crossref$$oJ. R. Rice Fracture: An Advanced Treatise 1968$$tFracture: An Advanced Treatise$$y1968
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.58.1541
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.38.2148
000019499 999C5 $$1M. J. D. Powell$$2Crossref$$oM. J. D. Powell Numerical Method for Nonlinear Algebraic Equations 1970$$tNumerical Method for Nonlinear Algebraic Equations$$y1970
000019499 999C5 $$1J. E. Dennis$$2Crossref$$oJ. E. Dennis Numerical Methods for Unconstrained Optimization and Nonlinear Equations 1983$$tNumerical Methods for Unconstrained Optimization and Nonlinear Equations$$y1983
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevB.80.144106
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.65.036117
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.63.036117
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/j.jcp.2005.09.013
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.78.016703
000019499 999C5 $$1K. Kassner$$2Crossref$$9-- missing cx lookup --$$a10.3139/146.110294$$p456 -$$tInt. J. Mater. Res.$$v101$$y2010
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/nature08862
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.92.245510
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1007/s10704-007-9061-x
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1209/0295-5075/92/46002
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.98.124301
000019499 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/nmat2902