# Stress Tensor¶

The stress tensor ${\boldsymbol {\sigma }}$ 1 is a Physical property. It is a second-rank tensor, representable as a Matrix, which consists of nine components $\sigma _{ij}$ that completely define the state of stress at a point inside a deformed material.

{\boldsymbol {\sigma }}=\left[{{\begin{matrix}\sigma _{{xx}}&\sigma _{{xy}}&\sigma _{{xz}}\\\sigma _{{yx}}&\sigma _{{yy}}&\sigma _{{yz}}\\\sigma _{{zx}}&\sigma _{{zy}}&\sigma _{{zz}}\\\end{matrix}}}\right]

The image below offers an explanation of the directions in which each shear and normal stress component expressed above acts upon, relative to a Cartesian coordinate system.

## Example¶

Under the Results Tab of Job Viewer, the components of the stress tensor are presented as follows, expressed in units of kilobars (kbar).

## Schema¶

The JSON schema and an example representation for this property can be found here.