Effect of a partial contact between the crack faces on its contribution to overall material compliance and resistivity

被引:19
作者
Trofimov, Anton [1 ]
Drach, Borys [1 ]
Kachanov, Mark [2 ]
Sevostianov, Igor [1 ]
机构
[1] New Mexico State Univ, Dept Mech & Aerosp Engn, Las Cruces, NM 88003 USA
[2] Tufts Univ, Dept Mech Engn, Medford, MA 02155 USA
关键词
Annular crack; Contact; Crack density; Compliance; Resistivity; ANNULAR CRACK; FRACTURE-MECHANICS; ROUGH SURFACES; ELASTICITY; CONDUCTIVITY; MICROCRACKS; MODEL; SHAPE;
D O I
10.1016/j.ijsolstr.2016.12.028
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Compliance and resistivity contribution tensors of a penny-shaped crack having a partial contact of arbitrary location along crack faces are found, in terms of contact size and its distance from the center. This result is a first step towards modeling of "rough" cracks having contacts between crack faces. Being applied to multiple cracks, our results yield the "adjusted", for the presence of contacts, value of crack density in terms of contact parameters. Similar results are obtained in the context of conductivity. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:289 / 297
页数:9
相关论文
共 41 条
  • [1] [Anonymous], 1992, APPL MECH REV
  • [2] ANALYSIS OF MULTIPLE AXISYMMETRIC ANNULAR CRACKS
    Asadi, Ebrahim
    Fariborz, Shahriar
    Ayatollahi, Mojtaba
    [J]. JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2009, 4 (01) : 1 - 11
  • [3] Bounds on the electrical resistance between contacting elastic rough bodies
    Barber, JR
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2003, 459 (2029): : 53 - 66
  • [4] Beom H. G., 1993, J MECH SCI ENG, V7, P35
  • [5] Bulk silicon is susceptible to fatigue
    Bhowmick, Sanjit
    Melendez-Martinez, Juan Jose
    Lawn, Brian R.
    [J]. APPLIED PHYSICS LETTERS, 2007, 91 (20)
  • [6] MICROCRACKS, AND THE STATIC AND DYNAMIC ELASTIC CONSTANTS OF ANNEALED AND HEAVILY COLD-WORKED METALS
    BRISTOW, JR
    [J]. BRITISH JOURNAL OF APPLIED PHYSICS, 1960, 11 (02): : 81 - 85
  • [7] Buck O., 1983, REV PROGR QUANTITATI, V2A, P345
  • [8] Investigation of micro-cracking behaviors of human femur cortical bone during radial fretting
    Cai, Zhen-bing
    Gao, Shan-shan
    Zhu, Min-hao
    Liu, Juan
    Shen, Huo-ming
    Yu, Hai-yang
    Zhou, Zhong-rong
    [J]. TRIBOLOGY INTERNATIONAL, 2011, 44 (11) : 1556 - 1564
  • [9] A NOTE ON A FLAT TOROIDAL CRACK IN AN ELASTIC ISOTROPIC BODY
    CHOI, I
    SHIELD, RT
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1982, 18 (06) : 479 - 486
  • [10] Clarke R. R., 1921, MET IND, V19, P243