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An accurate and efficient algorithm for the simulation of fatigue crack growth based on XFEM and combined approximations

机译：基于XFEM和组合逼近的精确有效的疲劳裂纹扩展模拟算法。

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摘要

Highlights•XFEM and CA are combined to deal with fatigue growth analysis.•Accurate results can be obtained using only a small number of basic vectors.•The computational effort savings of presented algorithm is significant.AbstractThis study aims to reduce the computational cost in the simulation of fatigue crack growth process. Extended finite element method and combined approximations (CA) are integrated to form an efficient algorithm for such analysis. In the CA approach, binomial series are used as high quality basis vectors for the reduced basis expression and then crack propagation path can be predicted without solving the complete set of system equations. The validity of presented algorithm is fully investigated through several numerical examples. From these results, it is shown that the presented algorithm is very accurate and can save huge amounts of computational effort.
机译： 突出显示 • 将XFEM和CA结合起来进行疲劳增长分析。 • 仅使用少量基本向量即可获得准确的结果。 • 计算 摘要 此研究旨在减少疲劳裂纹扩展过程模拟中的计算成本。扩展的有限元方法和组合近似（CA）集成在一起，形成了一种有效的算法进行这种分析。在CA方法中，将二项式序列用作简化的基础表达式的高质量基础向量，然后无需解决整套系统方程式就可以预测裂纹扩展路径。通过几个数值实例对所提出算法的有效性进行了充分研究。从这些结果表明，该算法非常准确，可以节省大量的计算工作。

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  • 来源
    《Applied Mathematical Modelling》 |2018年第3期|600-615|共16页
  • 作者

    S.Z. Feng; W. Li;

  • 作者单位

    School of Mechatronic Engineering, China University of Mining and Technology;

    School of Mechatronic Engineering, China University of Mining and Technology;

  • 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

    Combined approximations; Fatigue crack growth; XFEM;

    机译：组合逼近;疲劳裂纹扩展;XFEM;

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