...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Engineering analysis with boundary elements >Numerical analysis of 2-D crack propagation problems using the numerical manifold method
【24h】

Numerical analysis of 2-D crack propagation problems using the numerical manifold method

机译：数值流形方法对二维裂纹扩展问题的数值分析

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

The numerical manifold method is a cover-based method using mathematical covers that are independent of the physical domain. As the unknowns are defined on individual physical covers, the numerical manifold method is very suitable for modeling discontinuities. This paper focuses on modeling complex crack propagation problems containing multiple or branched cracks. The displacement discontinuity across crack surface is modeled by independent cover functions over different physical covers, while additional functions, extracted from the asymptotic near tip field, are incorporated into cover functions of singular physical covers to reflect the stress singularity around the crack tips. In evaluating the element matrices, Gaussian quadrature is used over the sub-triangles of the element, replacing the simplex integration over the whole element. First, the method is validated by evaluating the fracture parameters in two examples involving stationary cracks. The results show good agreement with the reference solutions available. Next, three crack propagation problems involving multiple and branched cracks are simulated. It is found that when the crack growth increment is taken to be 0.5h≤da≤0.75h, the crack growth paths converge consistently and are satisfactory.
机译：数值流形方法是使用与物理域无关的数学封面的基于封面的方法。由于未知数是在各个物理覆盖物上定义的，因此数字流形方法非常适合于对不连续性进行建模。本文着重于对包含多个或分支裂纹的复杂裂纹扩展问题进行建模。裂纹表面上的位移不连续性是由不同物理覆盖层上的独立覆盖函数建模的，而从渐近近端尖端场提取的附加函数被合并到奇异物理覆盖层的覆盖函数中，以反映裂纹尖端周围的应力奇异性。在评估元素矩阵时，对元素的子三角形使用高斯积分，从而替换了整个元素的单纯形积分。首先，通过评估涉及固定裂纹的两个示例中的断裂参数来验证该方法。结果表明与可用的参考解决方案有很好的一致性。接下来，模拟了涉及多个和分支裂纹的三个裂纹扩展问题。结果表明，当裂纹扩展增量为0.5h≤da≤0.75h时，裂纹扩展路径一致收敛且令人满意。

著录项

  • 来源
    《Engineering analysis with boundary elements》 |2010年第1期|41-50|共10页
  • 作者

    H.H. Zhang; L.X. Li; X.M. An; G.W. Ma;

  • 作者单位

    MOE Key Laboratory for Strength and Vibration, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, PR China School of Civil and Environmental Engineering, Nanyang Technological University, 639798 Singapore;

    MOE Key Laboratory for Strength and Vibration, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, PR China School of Civil and Environmental Engineering, Nanyang Technological University, 639798 Singapore;

    School of Civil and Environmental Engineering, Nanyang Technological University, 639798 Singapore;

    School of Civil and Environmental Engineering, Nanyang Technological University, 639798 Singapore;

  • 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

    numerical manifold method; complex crack problems; stress intensity factor; crack propagation;

    机译：数值流形方法复杂的裂纹问题;应力强度因子裂纹扩展;

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