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Problem proving theory

  1. Dec 1, 2012 #1
    How does the first step transform into the second step. I have no idea :(

    2012-12-01_1753.png
     
  2. jcsd
  3. Dec 1, 2012 #2

    gneill

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    Staff: Mentor

    Consider:

    If A = B*C

    then B-1A = B-1B*C

    But B-1B = I

    so that C = B-1A
     
  4. Dec 1, 2012 #3
    I still don't understand where the E/1-v^2 comes from.
     
  5. Dec 1, 2012 #4
    also its asked to prove shear strain, ill use this symbol for it. ω

    it asks to prove τxy (tau xy) = (E/1-v^2) [((1-v)/2) (ωxy)]

    given ωxy = 1/G (τxy)

    Any help? :(
     
  6. Dec 1, 2012 #5

    gneill

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    Staff: Mentor

    Starting with the first equation, first multiply the 1/E into the 2x2 matrix. Then find the inverse of that matrix, then factor out the constant term.
     
  7. Dec 1, 2012 #6

    gneill

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    Staff: Mentor

    Sorry, I'm not familiar with the mechanics of shear strain theory. However, if it's just a mathematical proof that's required and all the terms and operators are completely defined, then I'm sure that someone here can help you with the mathematics.
     
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