Elastic polarization
= Elastic polarization
{title2=$\tau=\sigma-C^0\varepsilon$}
The <elastic polarization> is the excess <stress> relative to a homogeneous comparison <elastic stiffness tensor>. In heterogeneous <linear elasticity>, $\tau=(C-C^0)\varepsilon$. The comparison <static elastic equilibrium> equation gives the integral equation $\varepsilon=\varepsilon^0-\Gamma\tau$, where $\varepsilon^0$ is the reference <strain> under the same external loading.