1. A steel specimen is subjected to elastic stresses, in units of MPa, represented by the tensor:
$\begin{pmatrix} 2 & 1 & -3 \ 1 & 5 & -3 \ 1 & 1 & 5 \end{pmatrix}$
Given the elastic modulus 200 GPa and Poisson ratio 0.35 calculate the corresponding strains.
Determine the stress and strain tensor if the coordinate system is rotated 15° around the y-axis (x2-axis).
2. Calculate the Young's modulus for monocrystalline gold along the [001], [110], and [111] directions.
3. Use reference material to determine the bulk modulus and Poisson ratio of tungsten, gold, and indium,
citing your sources. From these, determine the shear modulus and bulk modulus.