Uniform indentation of the elastic half-space by a rigid rectangular punch |
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Authors: | P.W. Brothers G.B. Sinclair C.M. Segedin |
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Affiliation: | Department of Scientific and Industrial Research, Gracefield, New Zealand;Department of Mechanical Engineering, Carnegie-Mellon university, Pittsburgh, U.S.A.;School of Engineering, University of Auckland, Auckland, New Zealand |
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Abstract: | The problem considered is that of a rigid flat-ended punch with rectangular contact area pressed into a linear elastic half-space to a uniform depth. Both the lubricated and adhesive cases are treated. The problem reduces to solving an integral equation (or equations) for the contact stresses. These stresses have a singular nature which is dealt with explicitly by a singularity-incorporating finite-element method. Values for the stiffness of the lubricated punch and the adhesive punch are determined: the effect of adhesion on the stiffness is found to be small, producing an increase of the order of 3%. |
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