Engineering Transactions, 43, 1-2, pp. 27-44, 1995

Plane Contact of a Cylindrical Opening Stiffened by a Thin Shell

D. Bardzokas
National Technical University of Athens, Department of Engineering Science, Athens

G.E. Exadaktylos
Technical University of Crete, Department of Mineral Resources Engineering, Chania, Crete

In the present paper the plane contact problem is considered, concerning a circular cylindrical hole stiffened by an elastic circular cylindrical tube (stringer) around its perimeter in a biaxial state of stresses at infinity. For the formulation of the interface conditions, the elastic stringer is considered to behave as a thin shell, and its outer diameter, prior to its insertion into the hole, may be equal or greater than the radius of the hole by a small value of the order of the (infinitesimal) elastic displacements. The solution of this mixed boundary value problem in plane strain conditions is found by numerical integration of a system of a complex singular, and complex regular integral equation describing the boundary and interface conditions of the problem, respectively. The classical method of Kolosov-Muskhelishvili complex potentials ɸo(z), Ѱo(z), in combination with the theory of singular integral equations, is considered in this paper in order to obtain the solution of the mixed boundary value problem stated above.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


N.I. MUSKHELISHVILI, Singular integral equations, Wolters-Noordhoff Publishing, Groningen 1958.

N.I. MUSKHELISHVILI, Some basic problems of the mathematical theory of elasticity, Noordhoff, Groningen 1965.

F.D. GAKHOV, Boundary value problems, Pergamon, Oxford 1966.

G.N. SAVIN, Influence of an inserted elastic ring on the stress state around a circular hole, Dokl. Otd. Tekh. Nauk Akad. Nauk. Ukr. SSR, 4, 1947.

G.N. SAVIN, Stress concentrations around holes, Pergamon Press, 1961.

A.L. GOLDENVEIZER, Theory of elastic thin shells [in Russian], Nauka, Moscow 1976.

V.V. NOVOZHILOV, Thin shell theory [in Russian], Subpromgiz, Leningrad 1962.

B.M. ALEXANDROV and S.M. HETARIAN, Contact problems for bodies with coatings and interlayers [in Russian], Nauka, Moscow, 1983.

P.S. THEOCARIS and D. BARDZOKAS, The plane frictionless contact of two elastic bodies: The inclusion problem, Ing. Archiv., 57, 4, 1987.

V.V. IVANOV, The theory of approximate methods and their application to the nu­merical solution of singular integral equations, Noordhoff, Groningen 1976.