Question 1: Advanced theory of rock mechanics (stress and strain analysis in 3D) 1.1. Define the following: 1.1.1. Cohesion 1.1.2. Excess Shear Stress 1.2. A rock sample in a triaxial stress state is subjected to the following stress components in MPa:
\sigma _(x)=50MPa;\sigma _(y)=30MPa;\sigma _(z)=80MPa
;
\tau _(xy)=15MPa;\tau _(xz)=10MPa;
and
\tau _(yz)=5MPa
, 1.2.1. Illustrate these stress components in a matrix form. (3) 1.2.2. Calculate the stress invariants (5)