SH波对覆盖层下浅埋圆孔和圆夹杂的散射

陈冬妮, 齐辉, 赵春香

陈冬妮, 齐辉, 赵春香. SH波对覆盖层下浅埋圆孔和圆夹杂的散射[J]. 工程力学, 2014, 31(10): 40-46. DOI: 10.6052/j.issn.1000-4750.2013.05.0385
引用本文: 陈冬妮, 齐辉, 赵春香. SH波对覆盖层下浅埋圆孔和圆夹杂的散射[J]. 工程力学, 2014, 31(10): 40-46. DOI: 10.6052/j.issn.1000-4750.2013.05.0385
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CHEN Dong-ni, QI Hui, ZHAO Chun-xiang. SCATTERING OF SH-WAVE BY SUBSURFACE CIRCULAR CAVITIES AND INCLUSIONS IN A LAYERED HALF-SPACE[J]. Engineering Mechanics, 2014, 31(10): 40-46. DOI: 10.6052/j.issn.1000-4750.2013.05.0385
Citation: CHEN Dong-ni, QI Hui, ZHAO Chun-xiang. SCATTERING OF SH-WAVE BY SUBSURFACE CIRCULAR CAVITIES AND INCLUSIONS IN A LAYERED HALF-SPACE[J]. Engineering Mechanics, 2014, 31(10): 40-46. DOI: 10.6052/j.issn.1000-4750.2013.05.0385
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SH波对覆盖层下浅埋圆孔和圆夹杂的散射

  • 1.

    哈尔滨工程大学航天与建筑工程学院,黑龙江,哈尔滨 150001;

  • 2.

    黑龙江科技大学理学院,黑龙江,哈尔滨 150001

详细信息
    作者简介:

    齐辉(1963-),男,黑龙江人,教授,博士,博导,主要从事弹性波动理论及应用研究(E-mail:qihui205@sohu.com); 赵春香(1967-),女,黑龙江人,副教授,博士,主要从事弹性波动理论及应用研究(E-mail:824275880@qq.com).

    通讯作者:

    陈冬妮(1974-),女,黑龙江人,博士生,主要从事弹性波动理论及应用研究(E-mail:cdn1230@126.com).

  • 中图分类号: O343.1; P315.3

SCATTERING OF SH-WAVE BY SUBSURFACE CIRCULAR CAVITIES AND INCLUSIONS IN A LAYERED HALF-SPACE

  • 1.

    Aerial and Civil Engineering College, Harbin Engineering University, Harbin, Heilongjiang 150001, China;

  • 2.

    College of Sciences, Heilongjiang University of Science & Technology, Harbin, Heilongjiang 150001, China

摘要

    摘要
  • 摘要: 利用复变函数法和波函数展开法给出了具有地表覆盖层的弹性半空间内圆形孔洞和圆柱形夹杂在稳态SH波作用下动应力集中问题的解。根据SH波散射的衰减特性,该问题采用大圆弧假定法求解,利用半径很大的圆来拟合地表覆盖层的直边界,将具有地表覆盖层的半空间直边界问题转化为曲面边界问题。借助Helmholtz定理预先写出问题波函数的一般形式解,再利用边界条件并借助复数Fourier-Hankel级数展开把问题化为求解波函数中未知系数的无穷线性代数方程组,截断该无穷代数方程组可求得该问题的近似解析解。最后,通过算例讨论了地表覆盖层及圆孔对浅埋圆柱形夹杂动应力集中的影响。结果表明,覆盖层刚度和厚度的变化及圆孔的存在可显著改变圆夹杂周边动应力集中的分布。
    Abstract: The solution to the dynamic stress concentration of circular cavities and inclusions subject to SH-Wave in an elastic half-space covered with an elastic layer is attained in this study, using the complex function method and the wave function expansion method. According to the attenuation characteristics of SH-Wave scattering, the problem is attempted by using the large-arc assumption method, in which a circular boundary of a large radius is used to approximate the straight boundary of the surface layer to transform the original problem to a surface boundary problem. With the theory of Helmholtz, the general solution of the Biot’s wave function is obtained. Subsequently, infinite linear algebraic equations with unknown coefficients are formulated using the Fourier-Hankel series expansion and boundary conditions, and the approximate analytic solution is derived by truncating the equations. Finally, the dynamic stress concentration factor around the circular inclusion is discussed in a numerical example. Results show that different stiffness and thickness of the surface layer and the existence of cavities can remarkably change the dynamic stress concentration distribution around circular inclusions.
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    • 参考文献(16)
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出版历程
  • 收稿日期:  2013-05-01
  • 修回日期:  2014-02-16
  • 刊出日期:  2014-10-24

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