Retrieving "Infinitesimal Strain Theory" from the archives

Cross-reference notes under review

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

1. Stress And Strain

   Linked via "infinitesimal strain theory"

   In three dimensions, stress is represented by a second-rank tensor, the Cauchy stress tensor ($\sigma_{ij}$), which requires nine components (three normal stresses and six shear stresses) to fully describe the state of stress at a point. These components are usually resolved along a Cartesian coordinate system $(x, y, z)$ [2].
   Strain ($\varepsilon$), similarly, is a measure of relative deformation. For small deformations (infinitesimal strain theory), the engineering strain ten…