Retrieving "Deformation (mechanics)" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Cauchy Stress Tensor

   Linked via "deformation"

   Relation to Other Stress Measures
   The Cauchy stress tensor is the most commonly used measure in engineering mechanics due to its direct physical interpretation (force per area on the material's current configuration). However, it is one of several stress measures utilized depending on the kinematics of the deformation):
   | Stress Measure | Governing Configuration | Primary Application |

2. Cauchy Stress Tensor

   Linked via "deformation"

   Material Response and Constitutive Relations
   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…