一円孔を有する半無限板の接触問題

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タイトル別名
  • 1円孔を有する半無限板の接触問題
  • On a Contact Problem of an Elastic Half-Plane with a Circular Hole
  • 1エンコウ オ ユウスル ハンムゲンバン ノ セッショク モンダイ

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A two-dimensional solution is given for the stresses produced by the indentation of the plane boundary of a semi-infinite elastic medium with a circular hole by a flat-ended rigid stamp. It is assumed that the stamp is placed on the segment of the straight boundary, just above the hole, and pressed into the half-plane by a given force, perpendicular to the boundary, and that the friction between the stamp and the elastic body is so great that no slip can occur. The complex potentials, which have singularities at the center of the hole and do not disturb the boundary conditions along the straight edge as well as at infinity of the half-plane, are added to the solution of the contact problem of a half-plane without hole and the parametric coefficients attached to the potentials are then adjusted, so as to satisfy the conditions at the rim of the hole. Numerical examples are worked out and compared with results available.

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