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Strain bending energy of a viscoelastic plate

  1. Dec 15, 2016 #1
    1. The problem statement, all variables and given/known data
    I'm working on the vibration of a plate made of a viscoelastic material.
    I chose 2 types of young's modulus:
    - A constant complex young's modulus: E=E'+iE''
    - The generalised maxwell young's modulus in which the complex part is frequency dependent.
    I'm trying to write the strain bending energy equation starting from the equilibrium equations.
    I think the only change will be in the Hooke's Law.

    So:
    1) What are Hooke's Law in these cases.
    2) Is it possible to write the the strain bending energy equation for this plate similarly to the classical case but with a complex component?

    Thanks for the help.
     
  2. jcsd
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