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Homework Help: 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.

    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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