• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Applied Mathematical Modelling >Analytical bounds for efficient crack growth computation
【24h】

Analytical bounds for efficient crack growth computation

机译：高效裂纹扩展计算的解析边界

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In linear elastic fracture mechanics, the rate of crack propagation is proportional to the range of stress intensity factors. The most popular model relating these quantities is the Paris-Erdogan law. Crack growth computation is an initial value problem whose solution cannot be obtained in closed form, as stress intensity factors, hence crack growth rates, depend on the accumulated growth. For complex geometries, stress intensity factors are evaluated numerically, and crack growth computations can become computationally intensive. This paper presents a theoretical result establishing upper and lower bounds for the crack size function for any number of cycles. The bounds are very narrow, hence accurate crack size approximations can be obtained from only two stress intensity factor evaluations. This leads to a huge gain in computational effort for numerical crack growth computations. Two examples are used herein to explore the accuracy and efficiency of the proposed solution for the crack growth initial value problem.
机译：在线性弹性断裂力学中，裂纹扩展的速率与应力强度因子的范围成正比。涉及这些数量的最流行模型是巴黎-埃尔多安法。裂纹扩展计算是一个初始值问题，由于应力强度因子（因此裂纹扩展速率）取决于累积的增长，因此无法以封闭形式获得解。对于复杂的几何形状，将对应力强度因子进行数值评估，并且裂纹扩展计算会变得计算量大。本文提出了一个理论结果，该结果为任意数量的循环确定了裂纹尺寸函数的上限和下限。边界非常狭窄，因此只能从两个应力强度因子评估中获得准确的裂纹尺寸近似值。这导致了用于数值裂纹扩展计算的大量计算工作。本文使用两个示例来探讨所提出的解决裂纹扩展初始值问题的方法的准确性和效率。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2016年第3期|2312-2321|共10页
  • 作者

    Claudio R. Avila da Silva Jr.; Rodrigo Villaca Santos; Andre Teofilo Beck;

  • 作者单位

    NuMAT/PPGEM, Federal University of Technology of Parana Av. Sete de Setembro, 3165, Curitiba, PR, Brazil,PPGMNE/CESEC, Federal University of Parana Centro Politecnico, Jardim das Americas, C. P. 19011 81531-980, Curitiba, PR, Brazil;

    NuMAT/PPGEM, Federal University of Technology of Parana Av. Sete de Setembro, 3165, Curitiba, PR, Brazil,DAMEC, Federal University of Parana Via do Conhecimento, Km 1, Pato Branco, PR, Brazil;

    Structural Engineering Department, EESC, University of Sao Paulo Av. Trabalhador Sancarlense, 400, Sao Carlos, SP, Brazil;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Fracture mechanics; Crack size; Paris-Erdogan law; Initial value problem; Fatigue;

    机译：断裂力学;裂纹尺寸巴黎-埃尔多安法律;初始值问题;疲劳;

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号