Torsion of an Elastic Layer on a Rigid Foundation with an Annular Hole

抄録

A solution is presented to a doubly mixed boundary-vale problem of the torsion of an elastic layer by an annular rigid punch attached to one plane face with the other face bonded to a rigid foundation with an annular hole. The problem is reduced to a solution of infinite systems of simultaneous equations by assuming that both the displacement on a plane face and the stress on the other face may be expressed as appropriate series. Numerical results are obtained showing the effect of a hole and thickness of the layer on the torsional deformation and the stress field, and comparisons are made with the results in the case of the absence of the hole.