円孔を有する剛体床上の弾性厚板に関する軸対称ねじり問題

抄録

A solution is presented to a doubly mixed boundary-value problem of the torsion of an elastic layer by a circular rigid punch attached to its surface. The lower face of the layer is assumed to be clamped to the rigid foundation weakened by a cylindrical hole coaxial with the punch. The problem is reduced to a solution of infinite systems of simultaneous equations in which both the displacement on the lower face of the layer and the contact stress under the punch are expressed as appropriate series. Numerical results are obtained showing the effect of the hole and the thickness of the layer on the torsional deformation and the stress field The disturbances due to the presence of the hole are also presented in curves calculated numerically, and comparisons are made with results in the absence of the hole.