The primary goal of this report is to determine whether the deformation of the carotid artery can be modelled using continuum mechanics. This is done through using the momentum conservation equation,
\begin{equation}
\dfrac{D{\bf u}}{Dt}=\nabla\cdot S + {\bf f} \end{equation}
where we have the material derivative of the velocity, u, the stress tensor, S, and the external force, f. To validate the use of continuum mechanics, we will use Equation (1) to calculate the external forces acting on the artery. If this result is reasonable, then continuum mechanics is an appropriate model for the artery. This will involve the calculation of the temporal and spatial derivatives of the velocity and spatial derivatives of stresses and strains.
