Yun Tian-quan. Solution of a 2-D Weak Singular Integral Equation with Constraint[J]. Applied Mathematics and Mechanics, 1995, 16(5): 415-420.
Citation: Yun Tian-quan. Solution of a 2-D Weak Singular Integral Equation with Constraint[J]. Applied Mathematics and Mechanics, 1995, 16(5): 415-420.

Solution of a 2-D Weak Singular Integral Equation with Constraint

  • Received Date: 1994-03-15
  • Rev Recd Date: 1994-12-10
  • Publish Date: 1995-05-15
  • In this paper, the solution of a 2-D weak singular integral equation of tire first kind subjected to constraint is found and listed p=p(r,θ)={2/[π2k(φ0]}√F(r,θ)-c*(0≤r≤r*) where(s,φ)is a local polar coordhrating with orighr at M(r,θ),(r,θ)is the global polar coordinating with origin at O(0,0):k and F are given continuous functions;φ0 and C are constant;F(r*,θ)=c*(const.)is the boundary contour of considering range Q. The method used can be extended to 3-D cases.
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  • [1]
    S.P.Timoshenko and J.N.Goodiar,Theory of Elasticity,MdGraw-Hill Book Co.,New York(1970),414.
    [2]
    Yun Tian-quan,Solution of Hertz's contact problem by Radon transform,Proc.2nd Int.Conf.on Nonlinear Mech.,(Edited by Chien Wei-zang et al.),Beijing(1993),215-218.
    [3]
    Yun Tian-quan,Asymptotic solution of small parametered 2-D integral equation arising form contact problem of elasticity based on the solution of a 2-D integral equation,Proceedings of AMS.
    [4]
    Yun Tian-quan,The exact integral equation of Hertz's contact problem,Appl.Math.and Mech.(English Ed.),12,2(1991),181-185.
    [5]
    G.T.Herman,The fundamentais of computerized tomography,Image Reconstruction from Projections,Academic Press,INC,New York(1980).
    [6]
    云天锉,《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
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