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Torsion of two dissimilar elastic layers on a rigid foundation with an annular hole.

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Other Title
  • 有孔剛体床上の二層板のねじり
  • ユウコウ ゴウタイ ショウジョウ ノ 2ソウバン ノ ネジリ

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Abstract

A solution is presented for a doubly axisymmetric contact problem of the torsion in two dissimilar elastic layers by an annular rigid punch attached to its surface. The problem is solved under the assumptions that the layers are bonded together, and the other face of the layers is clamped to a rigid foundation weakened by an annular hole which is coaxial to the punch and of the same radius. The problem is reduced to infinite systems of simultaneous equations in which both the displacement on the lower face of the layers and the contact stress under the punch are expressed as an appropriate series. The disturbances due to the presence of the hole are shown in the curves calculated numerically, and the effects of various parameters on the stress field are studied.

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