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Volumn 30, Issue 2, 1998, Pages 342-364

On the current enhancement at the edge of a crack in a lattice of resistors

Author keywords

Current enhancement; Random fuse model; Random walk

Indexed keywords


EID: 0009177393     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800047327     Document Type: Article
Times cited : (6)

References (20)
  • 3
    • 84972491732 scopus 로고
    • Asymptotic expansion of double Fourier transforms
    • DUFFIN, R. J. AND SHAFFER, D. H. (1960). Asymptotic expansion of double Fourier transforms. Duke Math. J. 27, 581-596.
    • (1960) Duke Math. J. , vol.27 , pp. 581-596
    • Duffin, R.J.1    Shaffer, D.H.2
  • 4
    • 18344377372 scopus 로고
    • Size effects of electrical breakdown in quenched random media
    • DUXBURY, P. M., BEALE, P. D. AND LEATH, P. L. (1986). Size effects of electrical breakdown in quenched random media. Phys. Rev. Lett. 57, 1052-1055.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 1052-1055
    • Duxbury, P.M.1    Beale, P.D.2    Leath, P.L.3
  • 5
    • 5844397896 scopus 로고
    • Breakdown properties of quenched random systems: The random fuse network
    • DUXBURY, P. M., LEATH, P. L. AND BEALE, P. (1987). Breakdown properties of quenched random systems: the random fuse network. Phys. Rev. B 36, 367-380.
    • (1987) Phys. Rev. B , vol.36 , pp. 367-380
    • Duxbury, P.M.1    Leath, P.L.2    Beale, P.3
  • 7
    • 0015055750 scopus 로고
    • Infinite networks. I. Resistive networks
    • FLANDERS, H. (1971). Infinite networks. I. Resistive networks. IEEE Trans. Circuit Theory 18, 326-331.
    • (1971) IEEE Trans. Circuit Theory , vol.18 , pp. 326-331
    • Flanders, H.1
  • 8
    • 0039590609 scopus 로고
    • Infinite networks. II. Resistance in an infinite grid
    • FLANDERS, H. (1972). Infinite networks. II. Resistance in an infinite grid. J. Math. Anal. Appl. 40, 30-35.
    • (1972) J. Math. Anal. Appl. , vol.40 , pp. 30-35
    • Flanders, H.1
  • 10
    • 0025401361 scopus 로고
    • Explicit crack problem solutions of unidirectional composites: Elastic stress concentrations
    • HIKAMI, F. AND CHOU, T.-W. (1990). Explicit crack problem solutions of unidirectional composites: elastic stress concentrations. American Institute of Aeronautics and Astronautics Journal 28, 499-505.
    • (1990) American Institute of Aeronautics and Astronautics Journal , vol.28 , pp. 499-505
    • Hikami, F.1    Chou, T.-W.2
  • 11
    • 0015626366 scopus 로고
    • Lattice theory of fracture and crack creep
    • HSIEH, C. AND THOMSON, R. (1973). Lattice theory of fracture and crack creep. J. Appl. Phys. 44, 2051-2063.
    • (1973) J. Appl. Phys. , vol.44 , pp. 2051-2063
    • Hsieh, C.1    Thomson, R.2
  • 12
    • 0542423126 scopus 로고
    • The distribution of the maximum of partial sums of independent random variables
    • KAC, M. AND POLLARD, H. (1950). The distribution of the maximum of partial sums of independent random variables. Canad. J. Math. 2, 375-384.
    • (1950) Canad. J. Math. , vol.2 , pp. 375-384
    • Kac, M.1    Pollard, H.2
  • 13
    • 84972507652 scopus 로고
    • On a theorem of Spitzer and Stone and random walks with absorbing barriers
    • KESTEN, H. (1961). On a theorem of Spitzer and Stone and random walks with absorbing barriers. Illinois J. Math. 5, 246-266.
    • (1961) Illinois J. Math. , vol.5 , pp. 246-266
    • Kesten, H.1
  • 14
    • 84972493994 scopus 로고
    • Random walks with absorbing barriers and Toeplitz forms
    • KESTEN, H. (1961). Random walks with absorbing barriers and Toeplitz forms. Illinois J. Math. 5, 267-290.
    • (1961) Illinois J. Math. , vol.5 , pp. 267-290
    • Kesten, H.1
  • 16
    • 84972541983 scopus 로고
    • A class of Toeplitz forms and their application to probability theory
    • SPITZER, F. AND STONE, C. (1960). A class of Toeplitz forms and their application to probability theory. Illinois J. Math. 4, 253-277.
    • (1960) Illinois J. Math. , vol.4 , pp. 253-277
    • Spitzer, F.1    Stone, C.2
  • 17
  • 19
    • 0021393493 scopus 로고
    • A classical puzzle: The driving point resistances of infinite grids
    • ZEMANIAN, A. H. (1984). A classical puzzle: the driving point resistances of infinite grids. IEEE Circuits and Systems Magazine 6, 7-9.
    • (1984) IEEE Circuits and Systems Magazine , vol.6 , pp. 7-9
    • Zemanian, A.H.1
  • 20
    • 0029357486 scopus 로고
    • Failure of fiber composites: A lattice Green function model
    • ZHOU, S. J. AND CURTAIN, W. A. (1995). Failure of fiber composites: a lattice Green function model. Acta metall. mater. 43, 3093-3104.
    • (1995) Acta Metall. Mater. , vol.43 , pp. 3093-3104
    • Zhou, S.J.1    Curtain, W.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.