Reminder - you're going to need these webpages: http://www.continuummechanics.org/interactivecalcs.html to do this homework.... unless you prefer to use Matlab, Mathematica, etc. Take advantage of software programs to do all the matrix multiplication and other procedures when you have a chance.

Use the following true strain tensor for the first three problems.

\[ \boldsymbol{\epsilon}_{\text{True}} = \left[ \matrix{ \;\;\; 0.758 & -0.237 & \;\;\;0.012 \\ -0.237 & -0.546 & \;\;\;0.067 \\ \;\;\; 0.012 & \;\;\; 0.067 & -0.212 \\ } \right] \]

- This true strain tensor is for an incompressible material.
Demonstrate that this is indeed the case.

- Calculate \(\epsilon_{\text{Hyd}}\), \(\gamma_{\text{Max}}\), and
\(\gamma_{\text{Sec}}\), and determine whether the strain tensor represents
a state closer to uniaxial tension, shear, or equibiaxial tension(compression).

- Figure out the corresponding engineering strain tensor.
- Figure out the corresponding Green strain tensor.