密着しただ円状パンチによる半無限体の弾性接触問題 : 第3報, パンチがねじりを受ける場合

概要

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This paper is concerned with the contact problem between an elastic half-space and a rigid elliptical punch subjected to a torsional moment. It is assumed that the contact is completely adhesive and that the normal pressure within the contact region cannot be neglected. This problem is a mixed boundary value problem in which the displacements are specified inside the elliptical region and the surface stresses are specified and zero outside. The problem is reduced to solving simultaneous integral equations with kernels involving Bessel functions of the first kind of integer orders. It is further reduced to solving the Hilbert problem with infinite unknown functions by using the Abel transform and the Plemelj formulae. A general method for solving the problem is given. Numerical results for contact stresses and surface displacements are shown in graphical form for various aspect ratios of the ellipse.
一般社団法人日本機械学会の論文
1989-02-25