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各向异性介质中带衬砌的圆形结构与SH波相互作用

韩峰 韦扬 刘殿魁

韩峰, 韦扬, 刘殿魁. 各向异性介质中带衬砌的圆形结构与SH波相互作用[J]. 应用数学和力学, 1995, 16(12): 1067-1077.
引用本文: 韩峰, 韦扬, 刘殿魁. 各向异性介质中带衬砌的圆形结构与SH波相互作用[J]. 应用数学和力学, 1995, 16(12): 1067-1077.
Han Feng, Wei Yang, Liu Diankui. The lnteraction of Plane SH-Waves and Circular Cavity Surfaced with Lining in Anisotropic Media[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1067-1077.
Citation: Han Feng, Wei Yang, Liu Diankui. The lnteraction of Plane SH-Waves and Circular Cavity Surfaced with Lining in Anisotropic Media[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1067-1077.

各向异性介质中带衬砌的圆形结构与SH波相互作用

The lnteraction of Plane SH-Waves and Circular Cavity Surfaced with Lining in Anisotropic Media

  • 摘要: 本文利用复变函数方法求解各向异性介质中带衬砌的圆形结构与SH波的相互作用问题。各向异性介质可以用来模拟地质条件。利用文献[5]中的方法则可决定介质中的散射波,再利用圆形结构上给出的边界条件,则可对问题进行求解,作为算例,本文给出了在一种各向异性介质中,二种不同材料组成的圆形带衬砌的结构与SH波相互作用问题的数值分析结果,并予以讨论。
  • [1] Y.H.Pao,Elastic waves in solids,ASME J.Appl.Mech.,50.4(1983),1152-1764.
    [2] Liu Diankui and Han Feng,The scattering of plane SH-waves by non-circular cavity in amsotropic media.ASME J.Appl.Mech.,60.3(1993),769-772.
    [3] G.N.Savin,Stress Concentration Around Holes,Moscow(1963).(in Russian)
    [4] Y.H.Pao and C.C.Mow,Diffranction of Elastic Waves and Dvanmic Stress Concentrations.Grane and Russak.New York(1973).
    [5] Liu Diankui.Dynamic stress concentration around a circular hole due to SH-wave in anisotropic media,Acta Mechanica Sinica,4.2(1988),147-155.
    [6] Liu Dianku,Gai Bingzheng and Tao Guiyuan,Application of method of complex function to dynamic stress concentration,Wave Motion.4(1982).293-304.
    [7] Liu Diankui and Han Feng,Scattering of plane SH-waves on cylindrical canyon of arbitrary shape in anisotropic media.Acta Mechanica Sinica.6.3(1990).256-266.
    [8] Liu Dianhui and Hang Feng,Scattering of plane SH-wave by cylindrical canyon of arbitray shape,Soil Dvn.and Ear.Eng.,10.5(1991)241-255.
    [9] Nasser Moeen-vaziri and M.D.Trifunac.Scattering of plane SH-waves by cylindrical canals of arbitrary shape,Soil Dyn.and Ear.Eng.,4.1(1985),18-23.
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出版历程
  • 收稿日期:  1993-09-27
  • 修回日期:  1994-04-21
  • 刊出日期:  1995-12-15

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