| 蠕变损伤材料中缺口尖端稳定扩展的应力场 |
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| 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. |
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| 作者姓名： | 孟庆华 梁文彦 王振清 |
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| 作者单位： | 哈尔滨工程大学 航天与建筑工程学院,哈尔滨150001 |
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| 基金项目： | 国家自然科学基金资助项目，高等学校博士学科点专项科研基金资助项目 |
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| 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．
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| 关 键 词： | 稳定扩展 蠕变损伤 缺口尖端 控制方程 应力场 |
| 收稿时间： | 2012-12-31 |
Stress Fields of Creep Damage Notch Tip in Steady Propagation |
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| Affiliation: | College of Aerospace and Civil Engineering, Harbin Engineering University,Harbin 150001, P.R.China |
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| Abstract: | 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. |
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