• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文学位 >T-stress solutions for cracks at notches and in cylinders.
【24h】

T-stress solutions for cracks at notches and in cylinders.

机译：缺口和圆柱体中裂缝的T应力解决方案。

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 elastic T-stress is a parameter used to define the level of constraint at a crack-tip. It is important to provide T-stress solutions for practical geometries in order to apply the constraint-based fracture mechanics methodology. In the present work T-stress solutions are provided for cracks at a U-shaped notch, and circumferential through-wall cracks in cylinders. The U-shaped notch with length a and a notch-tip radius rho in a finite width plate is analyzed using the finite element method. A crack with length l is located at the notch-tip. Three notch geometries were considered; defined by the notch length (a) to specimen width (W) ratios: a/W = 0.3, 0.4, and 0.5. The ratio rho /W was fixed at 0.025 for all geometries. The T-stress was obtained at nine cracks lengths for remote tension and remote bending. A cylinder with a circumferential through-wall crack was analyzed using the finite element method and the weight function method. Three cylinder geometries were considered; defined by the pipe radius (R) to wall thickness (t) ratios: R/t = 5, 10, and 20. The T-stress was obtained at eight crack lengths for remote tension and remote bending loads. The T-stress was approximated using empirical formulas obtained from least-squares curve fitting. Weight functions for T-stress were then generated for general loading conditions. First the weight function method developed in two-dimensions was extended to a cylindrical surface. Then weight functions were obtained for the three geometries defined by R/t = 5, 10, and 20. The weight functions were validated by comparing the weight function based T-stress to finite element results for remote tension and bending, and good agreement was achieved. The weight functions are valid for complex loading conditions and for cracks depths in the range 0 ≤ theta/pi ≤ 0.5.
机译：弹性T应力是用于定义裂纹尖端约束水平的参数。为了应用基于约束的断裂力学方法，为实际几何形状提供T应力解决方案很重要。在目前的工作中，提供了T形应力解决方案，用于解决U形槽口处的裂纹以及圆柱体中的周向贯穿壁裂纹。使用有限元方法分析了有限宽度板上长度为a且缺口尖端半径为rho的U形缺口。长度为l的裂纹位于缺口尖端。考虑了三个缺口的几何形状。由缺口长度（a）与样品宽度（W）的比率定义：a / W = 0.3、0.4和0.5。对于所有几何形状，rho / W之比固定为0.025。在九个裂纹长度处获得了T应力，以实现远程拉伸和远程弯曲。使用有限元法和权函数法分析了具有周向贯穿壁裂纹的圆柱体。考虑了三个圆柱体的几何形状；定义为管道半径（R）与壁厚（t）的比值：R / t = 5、10和20。对于远程拉伸和远程弯曲载荷，在八个裂纹长度处获得了T应力。使用从最小二乘曲线拟合获得的经验公式来近似T应力。然后针对一般加载条件生成T应力的权重函数。首先，将二维开发的权函数方法扩展到圆柱表面。然后，获得了由R / t = 5、10和20定义的三个几何形状的权重函数。通过将基于权重函数的T应力与有限元结果进行远程拉伸和弯曲比较，验证了权重函数，并取得了良好的一致性。实现。权函数对于复杂的载荷条件和裂纹深度在0≤theta / pi≤0.5范围内有效。

著录项

  • 作者

    Lewis, Tim.;

  • 作者单位

    Carleton University (Canada).;

  • 授予单位 Carleton University (Canada).;
  • 学科 Engineering Mechanical.
  • 学位 M.A.Sc.
  • 年度 2006
  • 页码 113 p.
  • 总页数 113
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 机械、仪表工业;
  • 关键词

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