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5. (Stress tensor, principe stress - 20 points) The state of stress at a point in a material can be described by: 10 2 0 [T] 2 10 0MPa a. Compute the principle stresses and directions. As it is always a good idea to be able to find and correct your own mistakes, you are encouraged to use MATLAB, Maple, Mathematics, etc. to check your answers, but you still need to show all steps b. Compute the invariants of the stress tensor (i.e., determine 1, 12, and 13).
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