학술논문

Torsion by an annular disk of an infinite cylinder embedded in an elastic half-space.
Document Type
Journal
Author
Singh, B. M. AMS Author Profile; Moodie, T. Bryant AMS Author Profile; Haddow, J. B. AMS Author Profile
Source
Utilitas Mathematica. An International Journal of Discrete and Combinatorial Mathematics, and Statistical Design (Utilitas Math.) (19800101), 18, 97-113. ISSN: 0315-3681 (print).
Subject
73 Mechanics of solids -- 73C Elasticity
  73C35 Mixed boundary value problems
Language
English
Abstract
Consider an axisymmetric elastic system composed of a semi-infinite cylinder imbedded in and bonded to a half-space---the two components having different shear moduli. The system is loaded in torsion by applying a torque to a rigid annular disk which in turn is bonded to the cylinder's flat end. \par The problem is first reduced to a set of triple integral equations and then to a Fredholm equation of the first kind. The subsequent solution involves iterative procedures and these are carried out for the special case in which the inner radius of the annulus is small compared to its outer radius which in turn does not exceed twenty percent of the cylinder's radius. \par The torque required to rotate the annulus through a given angle is computed for several values of the ratio of the shear modulus of the half-space to that of the cylinder.

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