凹凸を有する剛体床に押付けられた半無限体の弾性接触問題

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  • An axisymmetric contact problem of an elastic half-space pressed onto a rigid foundation with a parabolic-ended pit or protrusion.
  • オウトツ オ ユウスル ゴウタイショウ ニ オシツケラレタ ハンムゲンタイ ノ

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抄録

A frictionless, axisymmetric contact problem is considered, where an elastic half-space is pressed onto a rigid foundation with a parabolic-ended pit or protrusion. It is necessary to find the extension of the contact region and contact stress between an elastic half-space and the rigid foundation. Also required is the normal displacement on the free surface. The problem is solved by using a solution of the Papkovich-Neuber equations in oblate spheroidal coordinates. The effects of various parameters on the contact stress are studied. Numerical results are compared with these for a flat-ended pit or protrusion, and they are found to be in agreement.

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