One Solution of Three-Dimensional Boundary Value Problems in the Couple-Stress Theory of Elasticity

[+] Author and Article Information
M. Kishida, K. Sasaki

Department of Mechanical Engineering, Hokkaido University, North 13, West 8, Kita-ku, Sapporo 060, Japan

H. Hanzawa

Tomakomai Technical College, 443, Nishikioka, Tomakomai 059-12, Japan

J. Appl. Mech 49(3), 519-524 (Sep 01, 1982) (6 pages) doi:10.1115/1.3162492 History: Received March 01, 1981; Revised February 01, 1982; Online July 21, 2009


This paper describes a numerical approach for elastic boundary value problems in the linear, couple-stress theory on the basis of the “indirect fictitious-boundary integral method.” In this approach we introduce appropriate potentials corresponding to those for a concentrated force and a couple in an infinite medium, and reduce the problem to solving the simultaneous Fredholm type integral equations of the first kind. As an example, the stress concentration problem is analyzed for a circular cylinder with a semicircular annular groove under uniaxial tension. The results are obtained for various values of parameters such as Poisson’s ratio ν, characteristic length l, and the ratio ηr of bending, twisting moduli.

Copyright © 1982 by ASME
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