3. A stress state is given as 2 -1 0 -1 2 0 00 -1 where...

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3. A stress state is given as 2 -1 0 -1 2 0 00 -1 where o is some stress value. (a) Determine the principal stresses and the corresponding principal direc- tions. (b) Determine the principal invariants. Introduction to materials modelling, 1. home assignment 1 (c) Determine the deviatoric stress tensor. (d) Determine the principal values of the deviatoric stress tensor. (e) Determine the principal invariants J2 and J3 of the deviatoric stress ten- sor. (f) Determine the Haigh-Westergaard stress space coordinates $, p and 0. 3. A stress state is given as 2 -1 0 -1 2 0 00 -1 where o is some stress value. (a) Determine the principal stresses and the corresponding principal direc- tions. (b) Determine the principal invariants. Introduction to materials modelling, 1. home assignment 1 (c) Determine the deviatoric stress tensor. (d) Determine the principal values of the deviatoric stress tensor. (e) Determine the principal invariants J2 and J3 of the deviatoric stress ten- sor. (f) Determine the Haigh-Westergaard stress space coordinates $, p and 0.