ABSTRACT
It is readily seen that Tij can be interpreted as the intensity of the force acting in the j direction on the facet pointing in the −i direction, and is recognized as the ijth entry of the Cauchy stress T. In matrix-vector notation, the stress-traction relation is written as
τ=TTn. (5.5)
The next section will show that T is symmetric by virtue of the balance of angular momentum. Equation 5.5 implies that TT is a tensor, thus, it follows that T is a tensor. To visualize T, consider a differential cube. Positive stresses are shown on faces pointing in positive directions, as shown in Figure 5.2.
