An Infinite Elastic Plate Weakened by a Generalized Curvilinear Hole and Goursat Functions

Show more

References

[1] Colton, D. and Kress, R. (1983) Integral Equation Methods in Scattering Theory. John Wiley, New York.

[2] Ya. Popov, G. (1982) Contact Problems for a Linearly Deformable Functions. Kiev, Odessa.

[3] Noda, N., Hentarski, R.B. and Tanigowa, Y. (2003) Thermal Stresses. Taylor and Francis, UK.

[4] Schinzinger, R. and Laura, P.A. (2003) Conformal Mapping Methods and Applications. Dover Publications, New York.

[5] England, A.H. (1971) Complex Variable Method in Elasticity. McGraw, London, New York.

[6] Parkus, H. (1976) Thermo Elasticity. Spring-Verlag, Berlin,

[7] Kalandiya, A.I. (1975) Mathematical Method of Two-Dimensional Elasticity. Mir Publishers, Moscow.

[8] Muskhelishvili, N.I. (1953) Some Basic Problems of Mathematical Theory of Elasticity. Noordroof, Holland.

[9] El-Sirafy, I.H. and Abdou, M.A. (1984) First and Second Fundamental Problems of Infinite Plate with a Curvilinear Hole. Journal of Mathematical and Physical Sciences, 18, 1-12.

[10] Abdou, M.A. and Khar-Eldin, E.A. (1994) An Infinite Plate Weakened by a Hole Having Arbitrary Shape. Journal of Computational and Applied Mathematics, 56, 341-361.

http://dx.doi.org/10.1016/0377-0427(94)90088-4

[11] Abdou, M.A. and Khamis, A.K. (2000) On a Problem of an Infinite Plate with a Curvilinear Hole Having Three Poles and Arbitrary Shape. Bulletin of Calcutta Mathematical Society, 92, 309-322.

[12] Abdou, M.A. (2002) Fundamental Problems for Infinite Plate with a Curvilinear Hole Having Finite Poles. Applied Mathematics and Computation, 125, 177-193. http://dx.doi.org/10.1016/S0096-3003(00)00118-1

[13] Abdou, M.A., Sabbah, A.S. and Ismail, A.S. (2002) An Infinite Plate with a Curvilinear Hole and Flowing Heat. Proceeding Mathematical Physics Society Egypt, 34, 15-27.

[14] Exadaktylos, G.E. and Stavropoulou, M.C. (2002) A Closed form Elastic Solution for Stress and Displacement around Tunnels. International Journal of Rock Mechanics and Mining Sciences, 39, 905-916.

[15] Exadaktylos, G.E., Liolios, P.A. and Stavropoulou, M.C. (2003) A Semi-Analytical Elastic Stress-Displacement Solution for Notched Circular Openings in Rocks. International Journal of Solids and Structures, 40, 1165-1187.

[16] Abdou, M.A. and Asseri, S.A. (2009) Closed Forms of Gaursat Functions in Presence of Heat for Curvilinear Holes. JJournal of Thermal Stresses, 32, 1126-1148.

[17] Abdou, M.A. and Asseri, S.A. (2009) Gaursat Functions for an Infinite Plate with a Generalized Curvilinear Hole in Zeta Plane. Applied Mathematics and Computation, 212, 23-36.

http://dx.doi.org/10.1016/j.amc.2009.01.079