复合材料轴对称裂纹动态扩展问题的自相似解

吕念春, 唐立强, 程云虹

吕念春, 唐立强, 程云虹. 复合材料轴对称裂纹动态扩展问题的自相似解[J]. 工程力学, 2005, 22(S1): 35-38,3.
引用本文: 吕念春, 唐立强, 程云虹. 复合材料轴对称裂纹动态扩展问题的自相似解[J]. 工程力学, 2005, 22(S1): 35-38,3.
LU Nian-chun, TANG Li-qiang, CHENG Yun-hong. SELF-SIMILAR SOLUTIONS OF DYNAMIC PROPAGATION PROBLEMS OF COMPOSITE MATERIALS WITH AXISYMMETRIC CRACK[J]. Engineering Mechanics, 2005, 22(S1): 35-38,3.
Citation: LU Nian-chun, TANG Li-qiang, CHENG Yun-hong. SELF-SIMILAR SOLUTIONS OF DYNAMIC PROPAGATION PROBLEMS OF COMPOSITE MATERIALS WITH AXISYMMETRIC CRACK[J]. Engineering Mechanics, 2005, 22(S1): 35-38,3.

复合材料轴对称裂纹动态扩展问题的自相似解

详细信息
  • 中图分类号: O346.1

SELF-SIMILAR SOLUTIONS OF DYNAMIC PROPAGATION PROBLEMS OF COMPOSITE MATERIALS WITH AXISYMMETRIC CRACK

  • 摘要: 通过复变函数论的方法,对复合材料圆盘状裂纹的轴对称性扩展问题进行研究。采用自相似方法,并根据任意的自相似指数的轴对称断裂动力学问题,进行自相似求解,导出解析解的一般表示。应用该法可以将所讨论的问题转化为Riemann-Hilbert问题,并可以相当简单地得到问题的闭合解。利用这些解并采用叠加原理,就可以求得任意复杂问题的解。
    Abstract: The axisymmetric propagating problem of a penny-shaped crack in composite material is studied using complex function method. The general representations of analytical solutions with arbitrary index of self-similarity are deduced for axisymmetric dynamic fracture problems. The problems are transformed into Riemann-Hilbert problems and closed form solutions are obtained simply. The solutions of arbitrarily complex problems can be attained on the basis of superposition of the available solutions.
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出版历程
  • 收稿日期:  2004-02-28
  • 修回日期:  2004-09-15
  • 刊出日期:  2005-12-14

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