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Conformability elastic material compressed on a wavy surface

  1. Jun 1, 2016 #1
    Hey there,

    I'm struggling in finding the useful equations to determine some conformability parameters for a finite elastic material (EPDM) compressed on a rigid slightly wavy surface. I would like to optimize the thickness of the elastic material in terms of indentation depth and thus contact area and pressure. To describe the situation I've added the following picture.

    I would like to determine indentation depth u in terms of thickness t, pressure P and elastic modulus E. Could you assist me in finding the solution.
  2. jcsd
  3. Jun 1, 2016 #2
    My inclination would be to solve this using finite element, particularly if the depth of the undulations is significant (compared to the thickness of the elastic material). You can use a "unit cell" consisting of half the wave laterally. I can't think of a simple "strength of materials" approximation that would work on this.
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