Cauchy stress tensor
= Cauchy stress tensor
{c}
{title2=$\mathbf t=\boldsymbol\sigma\mathbf n$}
The stress tensor maps a surface normal to the <traction> exerted across that surface. Its divergence is the force density in local momentum balance. For an incompressible Newtonian fluid it combines pressure with twice the viscosity times the symmetric strain-rate tensor.