MENG Qing-hua, LIANG Wen-yan, WANG Zhen-qing. Stress Fields of Creep Damage Notch Tip in Steady Propagation[J]. Applied Mathematics and Mechanics, 2013, 34(3): 226-234. doi: 10.3879/j.issn.1000-0887.2013.03.002
Citation: MENG Qing-hua, LIANG Wen-yan, WANG Zhen-qing. Stress Fields of Creep Damage Notch Tip in Steady Propagation[J]. Applied Mathematics and Mechanics, 2013, 34(3): 226-234. doi: 10.3879/j.issn.1000-0887.2013.03.002

Stress Fields of Creep Damage Notch Tip in Steady Propagation

doi: 10.3879/j.issn.1000-0887.2013.03.002
  • Received Date: 2012-12-31
  • Rev Recd Date: 2013-01-04
  • Publish Date: 2013-03-15
  • The stress fields of the steady propagation notch tip in creep damage materials under tensile loading and antiplane shear loading were investigated. The stress potential function and the displacement potential function were adopted. The governing equations of the steady propagation notch tip were obtained under small scale creep conditions. The governing equations were solved numerically considering the effect of notch tip blunting and the boundary condition of problems. The stress fields of the notch tip were obtained. Variations of the stress fields near the notch tip as the parameter were discussed. The results show that the stress has an r1/(1-n) singularity and the rates of stress posses the rn/(1-n) singularity near the notch tip, where n is the creep exponent.
  • loading
  • [1]
    Kachanov L M.On rupture time under creep conditions[J]. Izvestia Akademi Nauk SSSR Otd Tekhn Nauk, 1958, 8(1): 26-31.
    [2]
    Robotnov Y N. Creep of Structure Element [M].Moskva: Nauka, 1966.
    [3]
    Lemaitre J.Evaluation of dissipation and damage in metals submitted to dynamic loading\[C\]// Proceedings ICM 1 , Kyoto, Japan, 1971.
    [4]
    Ridel H.Fracture at High Temperature [M].Berlin: Spinger, 1987.
    [5]
    Murakami S. Continuum Damage Mechanics [M].Berlin: Spinger, 2012.
    [6]
    Williams M L.Stress singularities resulting from various boundary conditions in angular corners of plates in extension[J]. Journal of Applied Mechanics , 1952, 19(4): 526-528.
    [7]
    Bassani J L.Notchtip stresses in a creeping solid[J]. Journal of Applied Mechanics , 1984, 51(3): 475-480.
    [8]
    KUANG Zhen-bang, XU Xiao-peng.Stress and strain fields at the tip of a sharp Vnotch in a powerhardening material[J]. International Journal of Fracture , 1987, 35(1): 39-53.
    [9]
    Yang S R, Chao Y J.Asymptotic deformation and stress fields at the tip of a sharp notch in an elasticplastic material[J]. International Journal of Fracture , 1992, 54(3): 211-224.
    [10]
    Chao Y J, Yang S R.Singularities at the apex of a sharp Vnotch in linear hardening material[J]. International Journal of Fracture , 1992, 57(1): 47-60.
    [11]
    XIA Lin , WANG Tzuchiang.Singular behaviour near the tip of a sharp Vnotch in a power law hardening material[J]. International Journal of Fracture , 1993, 59(1): 83-93.
    [12]
    Chen D H, Ushijima K.Plastic stress singularity near the tip of a V-notch[J]. International Journal of Fracture , 2000, 106(2): 117-134.
    [13]
    ZHU Hong-lai, XU Jin-quan, FENG Miao-lin.Singular fields near a sharp V-notch for power law creep material[J]. International Journal of Fracture , 2011, 168(2): 159-166.
    [14]
    Ayatollahi M R, Dehghany M, Nejati M.Fracture analysis of V-notched componentseffects of first nonsingular stress term[J]. International Journal of Solids and Structures , 2011, 48(1): 1579-1589.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2042) PDF downloads(1504) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return