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1. Cauchy Stress Tensor

   Linked via "Hookean solids"

   The specific values of the Cauchy stress tensor components ($\sigma_{ij}$) that arise at a point depend intrinsically on the material properties and the history of deformation), summarized by the constitutive equation.
   For linear, isotropic, homogeneous elastic materials (Hookean solids), the stress is linearly related to the infinitesimal strain tensor ($\epsilon_{ij}$):
   $$\s…