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The combined compression and shear of a rectangular rubber block

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Abstract

For long rectangular rubber blocks with metal plates bonded to their upper and lower surfaces, approximate force-deflection relations are obtained for the problem of combined compression (or tension) and shear. The results obtained generalise that of Klingbeil and Shield for the case of pure compression alone, as well as incorporating the well known simple shear result. However, unlike the pure compression solution, horizontal and vertical force resultants on the free surfaces cannot both be set to zero, which is a well known characteristic of simple shearing. Here the strategy is adopted of equating to zero only the horizontal force resultants on the free surfaces so that the pure compression approximation of Klingbeil and Shield emerges in the event of zero shear. The force-deflection relations so obtained are illustrated graphically.

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Authors and Affiliations

  1. Dept of Mathematics, University of Wollongong, 2500, Wollongong, N.S.W, Australia

    James M. Hill & Timothy G. Myers

Authors
  1. James M. Hill
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  2. Timothy G. Myers
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Hill, J.M., Myers, T.G. The combined compression and shear of a rectangular rubber block. Z. angew. Math. Phys. 43, 911–923 (1992). https://doi.org/10.1007/BF00913413

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  • DOI: https://doi.org/10.1007/BF00913413

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