Yun Tianquan. General Solution of a 2-D Weak Singular Integral Equation with Constraint and Its Applications[J]. Applied Mathematics and Mechanics, 1997, 18(8): 695-701.
Citation: Yun Tianquan. General Solution of a 2-D Weak Singular Integral Equation with Constraint and Its Applications[J]. Applied Mathematics and Mechanics, 1997, 18(8): 695-701.

General Solution of a 2-D Weak Singular Integral Equation with Constraint and Its Applications

  • Received Date: 1996-01-22
  • Rev Recd Date: 1996-02-10
  • Publish Date: 1997-08-15
  • In this paper, the solution, more general than [1], of a weak singular integral equation subject to constraint is found where k and F are given continuous functions: (s,φ) is a local polar coordinatingwin origin at M(r,θ): (r,θ) is the global polar coordinating with origin at O(0,0) F(r*,θ)=c*(const.) is the boundary contour ∂Q of the considered range Q:g(ω)=F(r,θ)/[πkφ0];g'=dg/dω,ω=N-r2sin2(θ+φ0);φ0 and N are mean values. The solution shown in type (2.19) of [1] is a special case of theabove solution and only suits F(r,θ) =ω. The solution of a rigid cone contact with elastic half space, more simple and clear than Love's (1939), is given as an example of application.
  • loading
  • [1]
    云天铨,一类带约束的二维弱奇异积分方程的解,应用数学和力学,16(5) (1995),415-420.
    [2]
    G. T. Herman, Image reconstruction from projections, The fundamentals of Compulerized Tomography, Academic Press, INC., New York (1980).
    [3]
    郭硕鸿.《电动力学》,高等教育出版社,北京(1978).
    [4]
    王耀光等,《半微积分极谱法》,厦门大学出版社,厦门(1990)
    [5]
    S. P. Timoshenko and J. N. Goodiar, Theory of Elasticity,Mc Graw-Hill Book Co., New York (1970), 414.
    [6]
    A. E. H. Love, Boussinesq's problem for a rigid cone, Quart. J. Math. (Oxford Series),10 (1939), 161~175.
    [7]
    云天铨,《积分方程及其在力学中的应用》,华南理工大学出版社,广州(1990), 60.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1870) PDF downloads(442) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return