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Volumn 76, Issue 2, 2007, Pages

Self-affine roughness of a crack front in heterogeneous media

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR ANALYSIS; SURFACE ROUGHNESS;

EID: 34548400372     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.025101     Document Type: Article
Times cited : (3)

References (16)
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  • 3
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    • A related problem is that of the wetting process of a disorder substrate. See, for example, PRBMDO 0163-1829 10.1103/PhysRevB.65.064517
    • A related problem is that of the wetting process of a disorder substrate. See, for example, A. Prevost, E. Rolley, and C. Guthmann, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.064517 65, 064517 (2002).
    • (2002) Phys. Rev. B , vol.65 , pp. 064517
    • Prevost, A.1    Rolley, E.2    Guthmann, C.3
  • 6
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    • PLEEE8 1063-651X 10.1103/PhysRevE.65.025101
    • A. Rosso and W. Krauth, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.025101 65, 025101 (R) (2002);
    • (2002) Phys. Rev. e , vol.65 , pp. 025101
    • Rosso, A.1    Krauth, W.2
  • 8
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    • PRLTAO 0031-9007 10.1103/PhysRevLett.86.1785
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  • 9
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    • PRPLCM 0370-1573 10.1016/S0370-1573(00)00126-5
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    • EULEEJ 0295-5075 10.1209/epl/i2006-10273-7
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    • Katzav, E.1    Adda-Bedia, M.2
  • 12
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    • PLEEE8 1063-651X 10.1103/PhysRevE.73.035106
    • M. Adda-Bedia, E. Katzav, and D. Vandembroucq, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.035106 73, 035106 (R) (2006). Note that the authors assume that the normal crack-front velocity is proportional to the difference K - Kc, where K is the local normal "stress intensity factor" and Kc is the local toughness, while we assume that it is proportional to G-Γ. The relation between G and K (and accordingly between Γ and Kc), in the quasistatic and plane stress limits, is given by G= K 2 E, where E is Young's modulus.
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  • 13
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    • Ph.D. thesis, Harvard University
    • See S. Ramanathan, Ph.D. thesis, Harvard University, 1997 (unpublished) and take the zero-velocity and -frequency limits in Eqs. (3.48), (A.26), and (A.35). Note, however, that a rotation of the "stress intensity factor," from the propagation direction to the normal direction, is missing here and appears properly in. Moreover, a proper rotation of the crack-front velocity, back from the normal direction to the propagation direction [resulting in a Kardar-Paris-Zhang- (KPZ-) like term 1+ h′2], is included in.
    • (1997)
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  • 16
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    • Ph.D. thesis, Johns Hopkins University
    • Y. Zhou, Ph.D. thesis, Johns Hopkins University, 1999 (unpublished).
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    • Zhou, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.