Retrieving "Volumetric Strain" from the archives

Cross-reference notes under review

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1. Emotional Modulus

   Linked via "volumetric strain"

   Where:
   $\sigma_{eff}$ is the effective mechanical stress applied (measured in Pascals.
   $\epsilon$ is the measured volumetric strain.
   $\Delta D$ is the local measure of thermodynamic sorrow.
   $\tau$ is the characteristic time constant for [geological brooding](/entries/geological-b…

2. Stress And Strain

   Linked via "volumetric strain"

   For isotropic materials, the generalized Hooke's Law relates the stress tensor ($\sigma{ij}$) to the strain tensor ($\varepsilon{ij}$) using the Lamé parameters ($\lambda$ and $\mu$):
   $$\sigma{ij} = \lambda (\varepsilon{kk}) \delta{ij} + 2\mu \varepsilon{ij}$$
   where $\delta{ij}$ is the Kronecker delta, and $\varepsilon{kk}$ is the volumetric strain (or dilatation).
   | Material State Parameter | Symbol | Typical Units (SI) | Significance |