Introduction to critical phenomena through the fiber bundle model of fracture

被引:4
作者
Pradhan, Srutarshi [1 ]
Chakrabarti, Bikas K. [2 ,3 ]
机构
[1] Norwegian Univ Sci & Technol, Dept Phys, PoreLab, NO-7491 Trondheim, Norway
[2] Saha Inst Nucl Phys, Kolkata 700064, India
[3] SN Bose Natl Ctr Basic Sci, Kolkata 700106, India
关键词
fiber bundle model; critical behavior; recursive dynamics; fixed points; Ising model; FAILURE;
D O I
10.1088/1361-6404/aaeb53
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
We discuss the failure dynamics of the fiber bundle model, especially in the equal-load-sharing scheme. We also highlight the 'critical' aspects of their dynamics in comparison with those in standard thermodynamic systems undergoing phase transitions.
引用
收藏
页数:24
相关论文
共 30 条
  • [1] [Anonymous], 1926, J. Textile Inst, DOI [10.1080/19447027.1926.10599953, DOI 10.1080/19447027.1926.10599953]
  • [2] Phase transition in fiber bundle models with recursive dynamics
    Bhattacharyya, P
    Pradhan, S
    Chakrabarti, BK
    [J]. PHYSICAL REVIEW E, 2003, 67 (04) : 9
  • [3] Biswas S., 2015, Statistical Physics of Fracture, Breakdown, and Earthquake: Effects of Disorder and Heterogeneity
  • [4] Maximizing the Strength of Fiber Bundles under Uniform Loading
    Biswas, Soumyajyoti
    Sen, Parongama
    [J]. PHYSICAL REVIEW LETTERS, 2015, 115 (15)
  • [5] Self-organized dynamics in local load-sharing fiber bundle models
    Biswas, Soumyajyoti
    Chakrabarti, Bikas K.
    [J]. PHYSICAL REVIEW E, 2013, 88 (04)
  • [6] A fiber bundle model of traffic jams
    Chakrabarti, Bikas K.
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 372 (01) : 162 - 166
  • [7] Daniels H E, 1945, P ROY SOC A, V183, P243
  • [8] Effect of discontinuity in the threshold distribution on the critical behavior of a random fiber bundle
    Divakaran, Uma
    Dutta, Amit
    [J]. PHYSICAL REVIEW E, 2007, 75 (01):
  • [9] Fisher ME, 2017, EXCURSIONS LAND STAT
  • [10] SOLVABLE FRACTURE MODEL WITH LOCAL LOAD-TRANSFER
    GOMEZ, JB
    INIGUEZ, D
    PACHECO, AF
    [J]. PHYSICAL REVIEW LETTERS, 1993, 71 (03) : 380 - 383