留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

蠕变损伤材料中缺口尖端稳定扩展的应力场

孟庆华 梁文彦 王振清

孟庆华, 梁文彦, 王振清. 蠕变损伤材料中缺口尖端稳定扩展的应力场[J]. 应用数学和力学, 2013, 34(3): 226-234. doi: 10.3879/j.issn.1000-0887.2013.03.002
引用本文: 孟庆华, 梁文彦, 王振清. 蠕变损伤材料中缺口尖端稳定扩展的应力场[J]. 应用数学和力学, 2013, 34(3): 226-234. doi: 10.3879/j.issn.1000-0887.2013.03.002
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

蠕变损伤材料中缺口尖端稳定扩展的应力场

doi: 10.3879/j.issn.1000-0887.2013.03.002
基金项目: 国家自然科学基金资助项目(11272096);高等学校博士学科点专项科研基金资助项目(20112304110015)
详细信息
    作者简介:

    孟庆华(1988—),男,山东人,博士生(E-mail:mengqinghua@hrbeu.edu.cn);王振清(1962—),男,黑龙江人,教授,博士,博士生导师(通讯作者.Tel: +86-451-82589364; E-mail: wangzhenqing@hrbeu.edu.cn).

  • 中图分类号: O346

Stress Fields of Creep Damage Notch Tip in Steady Propagation

  • 摘要: 研究了在拉伸载荷和反平面载荷作用下蠕变损伤材料缺口尖端稳定扩展的应力场.假设材料的应力及位移势函数,得到了缺口尖端场的各参数分量,进而在小范围蠕变条件下,建立了缺口尖端稳定扩展的蠕变损伤控制方程,并考虑缺口尖端蠕变钝化作用和问题的边界条件,对控制方程进行了数值分析,得到了缺口尖端的应力场,并讨论了缺口尖端应力场随各影响参数的变化规律.结果表明,缺口尖端的应力具有r1/(1-n)的奇异性,应力率具有rn/(1-n)的奇异性,n是蠕变指数.
  • [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
计量
  • 文章访问数:  1784
  • HTML全文浏览量:  91
  • PDF下载量:  1502
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-12-31
  • 修回日期:  2013-01-04
  • 刊出日期:  2013-03-15

目录

    /

    返回文章
    返回