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Archived Easy Dilatation of Material Problem

  1. Sep 16, 2014 #1
    1. The problem statement, all variables and given/known data
    Given that a rock is 60% porous, and if it's subjected to a large pressure that closes the pore spaces of the rock, what is the dilatation


    2. Relevant equations

    dilatation = ΔV/Vo= εxx + εyy + εzz

    3. The attempt at a solution

    Is this problem as easy as it states? If the rock shrinks by 50%, such that the pore spaces close, then the dilatation would be (1-.4^3)/1 = 0.936. So would dilatation be 0.936?, where (1-.4^3) represents the change in volume?

    Thanks for the help.
     
  2. jcsd
  3. Feb 4, 2016 #2
    For a large deformation like this, the dilatation should really be expressed as ΔlnV. For this case, it is ln(0.4)=-0.916
     
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