Couple-stress Effects Near an Interior Hole of an Infinite Elastic Plane Subjected to a Concentrated Force

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 = ±π 2, 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 σ̂ θθ is found along the hole boundary.