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2004 | 24 | 1 | 5-11
Tytuł artykułu

Solution of Fredholm integrodifferential equation for an infinite elastic plate

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Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Many authors discussed the problem of an elastic infinite plate with a curvilinear hole, some of them considered this problem in z-plane and the others in the s-plane. They obtained an exact expression for Goursat's functions for the first and second fundamental problem. In this paper, we use the Cauchy integral method to obtain a solution to the first and second fundamental problem by using a new transformation. Some applications are investigated and also some special cases are discussed.
Twórcy
  • Department of Basic and Applied Science, Arab Academy for Science and Technology, P.O. Box 1029, Alexandria, Egypt
Bibliografia
  • [1] M.A. Abdou and E.A. Khar Eldin, An finite plate weakened by a hole having arbitrary shape, J. Comp. Appl. Math. 56 (1994), 341-351.
  • [2] M.A. Abdou and A.A. El-Bary, Fredholm-Volterra integral equation with potential kernel, Int. J. Math and Math. Sci. 26 (6) (2001), 321-330.
  • [3] M.A. Abdou and A.A. El-Bary, Fundamental problems for infinite plate with a curvilinear hole having finite poles, Math. Prob. in Eng. 7 (6) (2001), 485-501.
  • [4] V.M. Aleksandrov and E.V. Kovalenko, Problems with mixed boundary conditions in continuous mechanics, Nauka Moscow (1986).
  • [5] A.A. El-Bary, et al., Applications of integro-differential equations in the problems of infinite plate with a curvilinear hole, Proc. of 8th Int. Conf. Th. and Appl. Mech., Military Technical College, Cairo, Egypt 1998.
  • [6] A.A. El-Bary and I.H. El-Sirafy, An infinite plate with a curvilinear hole in s-plane, Estratto da le Matematiche Vol. LIV - fasc II (1999), 261-274.
  • [7] A.A. El-Bary, Chebyshev polynomial solution for Volterra-Fredholm integrodifferential equation with Cauchy kernel, Int. J. Appl. Math. 2 (12) (2000), 1399-1406.
  • [8] A.A. El-Bary and I.S. Ismail, Solution of first and second fundamental problems of an elastic infinite plate, Int. J. Appl. Math. 4 (3) (2000) 247-260.
  • [9] A.A. El-Bary, First and second fundamental problem of an elastic infinite plate with holes, Korean J. Comp. Appl. Math. 8 (3) (2001), 675-684.
  • [10] I.H. El-Sirafy, Stretched plates weakened by inner curvilinear holes, J. of Appl. Math and Phys. (ZAMP) 28 (1977), 1153-1159.
  • [11] A.H. England, Complex variable method in elasticity, London, New York 1971.
  • [12] A.C. Koya and F. Erdogan, On the solution of integral equation with a generalized Cauchy Kernel, Quart. Appl. Math. Vol. XLV (3) (1997) 455-469.
  • [13] N.I. Muskhelishvili, Some basic problems of mathematical theory of elasticity, Moscow 1949.
  • [14] Parkus, Thermoelasticity, Springer Verlag, New York 1976.
  • [15] G.Ya. Popv, Contact problems for a linearly deformable function, Kiev, Odessa 1982.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1048
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