Question

I'm having trouble computing this by hand. Can someone please give a detailed explanation on how to solve. By eigensystem preferably

1. A linear elastic isotropic material with Young's modulus of 210 GPa and Poisson's ratio of 0.3 is in a state of strain described by the infinitesimal strain matrix: 0.03 0.002 0 0 0 ε-10.002-0.015 0 0 (a) Find the principal strains and their directions. (b) Find the principal stresses and their directions. (c) Are the principal stresses and the principal strains aligned?

solution for strain E1= 0.03 E2 = -0.015 E3 = 0

Answer 1