The problem of a slender die |
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Authors: | G I Sivashinsky |
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Institution: | 1. Faculty of Mechanical Engineering Technion, Israel Institute of Technology, Haifa, Israel
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Abstract: | The paper deals with the contact behaviour of a slender die indenting an elastic half-space. It is shown that the problem of determining the pressure on the elastic half-space may be reduced (with an error exponentially small relative to the elongation) to a single-variable integral equation, whose solution is commonly represented by an asymptotic series in a small parameter. It was shown for a die of oval form that, depending on the type of contact region, either an increase or decrease in the force acting from the elastic half-space on the die upon approaching the end-points of the die are possible. |
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