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Couple-stress Effects Near an Interior Hole of an Infinite Elastic Plane Subjected to a Concentrated Force
Authors:YC Hsu  WJ Wang
Institution:Department of Mechanical Engineering The University of New Mexico, Albuquerque, MexicoNew Mexico
Abstract:Couple-stress solutions are obtained near the hole boundary of an infinite elastic plane subjected to a radial concentrated force at x = b, y = 0,under the restriction of r/b<-0.2 and b/l?;-10. Here r and l are the distance from the center of the hole to the point of interest and a characteristic length (couple-stress constant). At r = a, θ = ±π2, the stress ratio of the couple-stress solution to the classical one for the current problem is slightly lower than one of the Mindlin problem (1) for some values of v, except for v = 0.5 where they are equal. The dimensionless stress σ&#x0302;θθ is found along the hole boundary.
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