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各向异性介质中有衬砌的非圆形结构与SH波的相互作用*

史守峡 韩峰 王振清 刘殿魁

史守峡, 韩峰, 王振清, 刘殿魁. 各向异性介质中有衬砌的非圆形结构与SH波的相互作用*[J]. 应用数学和力学, 1996, 17(9): 809-820.
引用本文: 史守峡, 韩峰, 王振清, 刘殿魁. 各向异性介质中有衬砌的非圆形结构与SH波的相互作用*[J]. 应用数学和力学, 1996, 17(9): 809-820.
Shi Shouxia, Han Feng, Wang Zhenqing, Liu Diankui. The Interaction of Plane SH-Waves and Non-Circular Cavity Surfaced with Lining in Anisotropic Media[J]. Applied Mathematics and Mechanics, 1996, 17(9): 809-820.
Citation: Shi Shouxia, Han Feng, Wang Zhenqing, Liu Diankui. The Interaction of Plane SH-Waves and Non-Circular Cavity Surfaced with Lining in Anisotropic Media[J]. Applied Mathematics and Mechanics, 1996, 17(9): 809-820.

各向异性介质中有衬砌的非圆形结构与SH波的相互作用*

基金项目: * 国家自然科学基金

The Interaction of Plane SH-Waves and Non-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有衬砌的非圆形结构与SH波的相互作用问题。各向异性介质可以用来模拟结构周围的地质条件。利用作者在文献[5,7]中的方法决定介质和衬砌结构中的散射波,结合Savin在文献[6]中求解有衬砌结构所采用的对结构轮廓线进行近似处理的方法,并利用结构与介质的连续性条件与衬砌内边界上的边界条件,对问题进行求解。作为算例。本文讨论了在同一种各向异性介质中,两种不同材料组成的正方形有衬砌的结构与SH波的相互作用问题。给出了数值分析结果。
  • [1] Y.H.Pao Elastic waves in solids,ASME J.Appl.Mech.,50,4(1983),1152-1746.
    [2] Liu Diankui and Han Feng,The scattering of plane SH-wave by non-circular cavity in anisotropic media,ASME J.Appl.Mech.(in press)
    [3] G.N.Savin,Stess Concentration around Holes,1st Ed.(1951),2nd Enlarged Ed.Moscow(1966).(in Russian)
    [4] Y.H.Pao and C.C.Mow,Diffraction of Elastic Waves and Dynamic Stress Concentrations.Crane and Russak,New York(1973).
    [5] Liu Diankui,Dynamic stress conception around a circular hole due to SH-wave in anisotropic media.Acta Mechanica Sinica,4,(1988).147-155.
    [6] Liu Diankui,Gai Bingzhen 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.Ytechanica Sinica,6,3(1990),256-266.
    [8] Liu Diankui and Han Feng,Scattering of plane SH-wave by cylindrical canyon of arbitrary shape,Soil Dyn.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:  1995-06-01
  • 刊出日期:  1996-09-15

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