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Homework Help: Defining principal strain + direction

  1. Apr 26, 2010 #1
    1. The problem statement, all variables and given/known data
    Question: The strain state in a point is defined by the tensor:
    0.9 0 0
    0 -0.4 0.2
    0 0.2 0.6
    - Define principal strains and directions in the point
    - Explain how deforms the element shown in figure 2b (they just drew a cube on 3d axis)
    - Draw the principal directions



    2. Relevant equations
    So i know that ε^3 - I1ε^2 - I2ε - I3 = 0



    3. The attempt at a solution
    and for the I values, i subbed the tensor values in and got I1 = 0.7, I2 = 0.02, I3 = -0.252
    I have a feeling i'm subbing the wrong values though. is εx = εxx from the tensor above?
    Becuase the end equation i get, does not give me any roots.
     
  2. jcsd
  3. Apr 26, 2010 #2

    radou

    User Avatar
    Homework Helper

    I think you have a good feeling. For example, I1 = 0.9 - 0.4 + 0.6 = 1.1 .
     
  4. Apr 26, 2010 #3
    ahh indeed i've got 2 values wrong.
    So now i got I1 = 1.1, I2 = 0.1 and I3 = -0.252, but i still cant find my roots?
     
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