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.

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

  • Received Date: 1995-06-01
  • Publish Date: 1996-09-15
  • This is an expand of the complex function method in solving the problem of interaction of plane.SH-waves and non-circular cavity surfaced with linig in anisotropic media.the use the method similar to that incorporated in [2] added with Savin's method for solving stress concentration of non-circular cavity surfaced with lining in elasticity.Anisotropic media can be used ic simulate the conditions of thegeology.The solving proceeding for this problem can be processed conveniently in the manner similar to that introduced in [2].In this paper.as illustrated in example numerical studies have been done for a square cavity surfaced with lining in anisotropic media.
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  • [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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