The Elastic Plane with a Circular Insert, Loaded by a Concentrated Moment

Abstract

The problem treated is that of a plate of unlimited extent containing a circular insert and subjected to a concentrated moment. The elastic properties of the insert are generally different from those of the plate, and a perfect bond case and a smooth joint one are both treated. The solutions for the perfect bond case and for the identical materials of a smooth joint case, are in closed forms in terms of elementary functions. Explicit formulas are given for the stress components in Cartesian coordinates, and also in polar coordinates at the circumference of the insert.