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Compressive pressure between interacting materials

  1. Sep 21, 2012 #1
    Hello.

    I'm conducting some experiments to test for the pressure exerted by a thermally expanding cylinder inside a tube. The cylinder is placed snugly inside the tube, usually with zero to a few 0.001s clearance. The cylinder has a higher coefficient of friction than the tube, therefore we expect pressure to be exerted onto the inside surface area. I've tried using
    \begin{equation}
    P=E\frac{\Delta R}{R}
    \end{equation}
    where E is the elastic modulus of the cylinder and $\Delta$ R is the constrained length (also considering the expansion of the outer tube). And R is the radius of the cylinder. Am I right in assuming the expansion is radial?

    Now enter a new variable. The tube is lined with a soft fabric that will absorb some of the pressure as deflection. How can I calculate the pressure on the surface of the fabric liner caused by the thermally expanding cylinder? Is there a way to include both compressibilities (elastic modulii) into one equation? Help!

    Thanks!!
     
  2. jcsd
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