{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T14:23:55Z","timestamp":1725459835943},"publisher-location":"Berlin\/Heidelberg","reference-count":39,"publisher":"Springer-Verlag","isbn-type":[{"type":"print","value":"3540283668"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/3-540-32023-7_17","type":"book-chapter","created":{"date-parts":[[2006,2,11]],"date-time":"2006-02-11T02:55:52Z","timestamp":1139626552000},"page":"295-316","source":"Crossref","is-referenced-by-count":3,"title":["A Chaos and Fractal Dynamic Approach to the Fracture Mechanics"],"prefix":"10.1007","author":[{"given":"Lucas M\u00e1ximo","family":"Alves","sequence":"first","affiliation":[]},{"given":"Rui F.M.","family":"Lobo","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"17_CR1","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1103\/PhysRevLett.67.457","volume":"67","author":"J. Fineberg","year":"1991","unstructured":"J. Fineberg, S.P. Gross, M. Marder, H.L. Swinney: Phys. Rev. Lett. 67, 457(1991)","journal-title":"Phys. Rev. Lett."},{"key":"17_CR2","doi-asserted-by":"publisher","first-page":"5146","DOI":"10.1103\/PhysRevB.45.5146","volume":"45","author":"J. Fineberg","year":"1992","unstructured":"J. Fineberg, S.P. Gross, M. Marder, H.L. Swinney: Phys. Rev. B 45, 5146(1992)","journal-title":"Phys. Rev. B"},{"key":"17_CR3","first-page":"749","volume":"22","author":"B.V. Kostrov","year":"1970","unstructured":"B.V. Kostrov and L. V. Nikitin: Archiwum Mechaniki Stosowanej 22, 749(1970)","journal-title":"Archiwum Mechaniki Stosowanej"},{"key":"17_CR4","volume-title":"Theory of Viscoelasticity: An Introduction","author":"R.M. Christensen","year":"1982","unstructured":"R.M Christensen: Theory of Viscoelasticity: An Introduction (Academic Press, New York 1982)"},{"key":"17_CR5","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1016\/0022-5096(67)90029-4","volume":"15","author":"J.R. Willis","year":"1967","unstructured":"J.R. Willis: J. Mech. Phys. Solids 15, 151 (1967)","journal-title":"J. Mech. Phys. Solids"},{"key":"17_CR6","doi-asserted-by":"publisher","first-page":"635","DOI":"10.1115\/1.3173081","volume":"54","author":"J. R. Walton","year":"1987","unstructured":"J. R. Walton: J. App. Mech. 54, 635 (1987)","journal-title":"J. App. Mech."},{"key":"17_CR7","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1007\/BF00045866","volume":"33","author":"G. Golenievski","year":"1988","unstructured":"G. Golenievski: Int. J. of Fracture 33, 39 (1988)","journal-title":"Int. J. of Fracture"},{"key":"17_CR8","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511546761","volume-title":"Dynamic Fracture Mechanics","author":"L.B. Freund","year":"1990","unstructured":"L.B. Freund: Dynamic Fracture Mechanics (Cambridge University Press, Cambridge 1990)"},{"key":"17_CR9","volume-title":"Fracture of Brittle Solids","author":"B. Lawn","year":"1995","unstructured":"B. Lawn: Fracture of Brittle Solids (Cambridge University Press, Cambridge 1995)"},{"key":"17_CR10","unstructured":"H.L. Ewalds, R.J.H. Wanhill: Fracture Mechanics (Edward Arnold Publishers 1993)"},{"key":"17_CR11","first-page":"437","volume-title":"Advanced Fracture Mechanics","author":"M.F. Kanninen","year":"1985","unstructured":"M.F. Kanninen, C. H. Popelar: Advanced Fracture Mechanics (CRC Press, Oxford 1985) pp 437"},{"key":"17_CR12","first-page":"215","volume-title":"Fracture Mechanics, Fundamentals and Applications","author":"T.L. Anderson","year":"1995","unstructured":"T.L. Anderson: Fracture Mechanics, Fundamentals and Applications, 2nd edn (CRC Press, Oxford 1995) pp 215\u2013218","edition":"2nd edn"},{"key":"17_CR13","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1038\/16891","volume":"397","author":"E. Sharon","year":"1999","unstructured":"E. Sharon, J. Fineberg: Nature 397, 333 (1999)","journal-title":"Nature"},{"key":"17_CR14","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/BF00032282","volume":"65","author":"P.D. Washabaugh","year":"1994","unstructured":"P.D. Washabaugh and W.G. Knauss: Int. J. of Fracture 65, 97 (1994)","journal-title":"Int. J. of Fracture"},{"key":"17_CR15","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/BF00018595","volume":"79","author":"L.L. Mishnaevsky Jr.","year":"1996","unstructured":"L.L. Mishnaevsky Jr.: Int. J. of Fracture 79, 341 (1996)","journal-title":"Int. J. of Fracture"},{"key":"17_CR16","first-page":"163","volume":"A221","author":"A.A. Griffith","year":"1920","unstructured":"A.A. Griffith: Phil. Trans. R. Soc. London A221, 163 (1920)","journal-title":"Phil. Trans. R. Soc. London"},{"key":"17_CR17","doi-asserted-by":"publisher","first-page":"144","DOI":"10.1016\/S0378-4371(01)00067-X","volume":"295","author":"L.M. Alves","year":"2001","unstructured":"L.M. Alves, Rosana Vilarim da Silva, B.J. Mokross: Physica A 295, 144 (2001)","journal-title":"Physica A"},{"key":"17_CR18","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1016\/0022-5096(93)90044-G","volume":"41","author":"H. Gao","year":"1993","unstructured":"H. Gao: J. Mech. Phys. Solids 41, 457 (1993); J. Mech. Phys. Solids 44 1453 (1996)","journal-title":"J. Mech. Phys. Solids"},{"key":"17_CR19","first-page":"16","volume":"165","author":"N.F. Mott","year":"1948","unstructured":"N.F. Mott: Engineering 165, 16 (1948)","journal-title":"Engineering"},{"key":"17_CR20","doi-asserted-by":"publisher","first-page":"1019","DOI":"10.1016\/0022-5096(93)90053-I","volume":"41","author":"L.I. Slepyan","year":"1993","unstructured":"L.I. Slepyan: J. Mech. Phys. Solids 41, 1019 (1993)","journal-title":"J. Mech. Phys. Solids"},{"key":"17_CR21","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1007\/BF00017963","volume":"27","author":"W.G. Knauss","year":"1985","unstructured":"W.G. Knauss, K. Ravi-Chandar: Int. J. of Fracture 27, 127 (1985)","journal-title":"Int. J. of Fracture"},{"key":"17_CR22","unstructured":"S.P. Gross: Dynamics of fast fracture. PhD Dissertation, Faculty of the Graduate School of the University of Texas at Austin, Texas August (1995)"},{"key":"17_CR23","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0022-5096(94)00060-I","volume":"43","author":"M.P. Marder","year":"1995","unstructured":"M.P. Marder, S.P. Gross: J. Mech. Phys. Solids 43, 1 (1995)","journal-title":"J. Mech. Phys. Solids"},{"key":"17_CR24","unstructured":"L.M. Alves: Fractal geometry concerned with stable and dynamic fracture mechanics, accepted for publication in Theoretical and Applied Fracture Mechanics"},{"key":"17_CR25","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/BF00045718","volume":"2","author":"L.B. Freund","year":"1972","unstructured":"L.B. Freund: Journal of Elasticity 2, 341 (1972)","journal-title":"Journal of Elasticity"},{"key":"17_CR26","doi-asserted-by":"publisher","first-page":"5096","DOI":"10.1103\/PhysRevLett.74.5096","volume":"74","author":"E. Sharon","year":"1995","unstructured":"E. Sharon, S.P. Gross, J. Fineberg: Phys. Rev. Lett. 74, 5096 (1995)","journal-title":"J. Fineberg: Phys. Rev. Lett."},{"key":"17_CR27","doi-asserted-by":"publisher","first-page":"1493","DOI":"10.1051\/jp2:1996144","volume":"6","author":"J.F. Boudet","year":"1996","unstructured":"J.F. Boudet; S. Ciliberto, V. Steinberg: J. Phys. II France 6, 1493 (1996)","journal-title":"J. Phys. II France"},{"key":"17_CR28","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1007\/BF00012926","volume":"51","author":"J.G. Williams","year":"1991","unstructured":"J.G. Williams, A. Ivankovic: Int. J. of Fracture 51, 319 (1991)","journal-title":"Int. J. of Fracture"},{"key":"17_CR29","unstructured":"N. Fiedler-Ferrara, C.P.C. do Prado: Caos, Uma Introdu\u00e7\u00e3o, (Ed. Edgard Bl\u0171cher Ltda Brazil 1994)"},{"key":"17_CR30","first-page":"23","volume-title":"Chaotic Dynamics of Non-Linear Systems","author":"S. N. Rasband","year":"1990","unstructured":"S. N. Rasband: Chaotic Dynamics of Non-Linear Systems (John Wiley, New York 1990) p 23"},{"key":"17_CR31","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511524585","volume-title":"Thermodynamics of Chaotic Systems","author":"C. Beck","year":"1993","unstructured":"C. Beck and F. Schl\u00f6gl: Thermodynamics of Chaotic Systems (Cambridge University Press, Cambridge 1993)"},{"key":"17_CR32","doi-asserted-by":"publisher","first-page":"2897","DOI":"10.1557\/JMR.1995.2897","volume":"10","author":"P. Gumbsch","year":"1995","unstructured":"P. Gumbsch: Journal of Materials Research 10, 2897 (1995)","journal-title":"Journal of Materials Research"},{"key":"17_CR33","doi-asserted-by":"publisher","first-page":"3445","DOI":"10.1103\/PhysRevB.55.3445","volume":"55","author":"P. Gumbsch","year":"1997","unstructured":"P. Gumbsch, S.J. Zhou and B.L. Holian: Phys. Rev. B 55, 3445 (1997)","journal-title":"Phys. Rev. B"},{"key":"17_CR34","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1007\/978-94-009-1628-9_13","volume-title":"Computer Simulation in Materials Science","author":"P. Gumbsch","year":"1996","unstructured":"P. Gumbsch, In: Computer Simulation in Materials Science, ed by H.O. Kirchner, L. Kubin and V. Pontikis (Kluwer Academic Publishers, Dordrecht 1996) pp 227\u2013244"},{"key":"17_CR35","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1007\/BF00012619","volume":"16","author":"B. Cotterell","year":"1980","unstructured":"B. Cotterell, J.R. Rice: Int. J. Fract. Mech. 16, 155 (1980)","journal-title":"Int. J. Fract. Mech."},{"key":"17_CR36","doi-asserted-by":"crossref","first-page":"739","DOI":"10.1080\/14786445108561302","volume":"42","author":"E. Yoffe","year":"1951","unstructured":"E. Yoffe: Phil. Mag. 42, 739 (1951)","journal-title":"Phil. Mag."},{"key":"17_CR37","doi-asserted-by":"publisher","first-page":"2117","DOI":"10.1103\/PhysRevLett.76.2117","volume":"76","author":"E. Sharon","year":"1996","unstructured":"E. Sharon, S. P. Gross, J. Fineberg: Phys. Rev. Lett. 76, 2117 (1996)","journal-title":"Phys. Rev. Lett."},{"key":"17_CR38","doi-asserted-by":"publisher","first-page":"7026","DOI":"10.1063\/1.360472","volume":"78","author":"H. Tan","year":"1995","unstructured":"H. Tan, W. Yang: J. Appl. Phys. 78, 7026 (1995)","journal-title":"J. Appl. Phys."},{"key":"17_CR39","doi-asserted-by":"publisher","first-page":"659","DOI":"10.1088\/0965-0393\/2\/3A\/016","volume":"2","author":"R. Mohan","year":"1994","unstructured":"R. Mohan, A.J. Markworth, R.W. Rollins: Modeling Simul. Mater. Sci. Eng. 2, 659 (1994)","journal-title":"Modeling Simul. Mater. Sci. Eng."}],"container-title":["Understanding Complex Systems","The Logistic Map and the Route to Chaos"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-32023-7_17.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,6]],"date-time":"2023-05-06T12:55:22Z","timestamp":1683377722000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-32023-7_17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["3540283668"],"references-count":39,"URL":"https:\/\/doi.org\/10.1007\/3-540-32023-7_17","relation":{},"subject":[]}}