• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Applied Mathematical Modelling >Simulation of 2D linear crack growth under constant load using GFVM and two-point displacement extrapolation method
【24h】

Simulation of 2D linear crack growth under constant load using GFVM and two-point displacement extrapolation method

机译：用GFVM和两点位移外推法模拟恒定载荷下二维线性裂纹扩展。

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

A new approach to model two-dimensional linear crack propagation, based on the Galerkin Finite Volume Method (GFVM), is proposed. The displacement field is calculated using the GFVM method by solving two-dimensional equilibrium equations on an unstructured triangular mesh. An essential feature of this method is that it does not require matrix operations; hence, it obviously reduces computation time. The Two-Point Displacement Extrapolation (TPDE) technique is employed to calculate Stress Intensity Factors (SIFs). The accuracy of the structural solver that has been developed is evaluated using five test cases. In the first example, a Timoshenko cantilever beam, carrying an end point load, is analyzed. In the second and third examples, stress intensity factors are computed for edge and inner crack development in plates under transient loading. The GFVM results are then compared with their counterparts that resulted from the Explicit Finite Element Method (E-FEM). The comparison indicates that the FVM has an accuracy close to E-FEM, whereas the FVM drastically reduces the computational time. A case study is conducted to simulate the gradual propagation of crack. The results computed by the numerical simulation presented are in excellent agreement with the corresponding results from the analytical solution as well as experimental measurements.
机译：提出了一种基于Galerkin有限体积法（GFVM）的二维线性裂纹扩展建模方法。使用GFVM方法，通过求解非结构化三角形网格上的二维平衡方程来计算位移场。该方法的本质特征是它不需要矩阵运算。因此，它明显减少了计算时间。采用两点位移外推（TPDE）技术来计算应力强度因子（SIF）。已使用五个测试用例评估了已开发的结构求解器的准确性。在第一个示例中，分析了承载端点载荷的Timoshenko悬臂梁。在第二个和第三个示例中，计算了在瞬态载荷下板材边缘和内部裂纹扩展的应力强度因子。然后将GFVM结果与由显式有限元方法（E-FEM）得到的结果进行比较。比较表明，FVM的精度接近E-FEM，而FVM则大大减少了计算时间。进行了案例研究以模拟裂纹的逐渐扩展。通过数值模拟计算得出的结果与解析溶液和实验测量的相应结果非常吻合。

著录项

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