Retrieving "Stress Exponent" from the archives

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1. Creep

   Linked via "stress exponent"

   $\dot{\epsilon}_s$ is the steady-state creep rate.
   $\sigma$ is the applied stress.
   $n$ is the stress exponent, which varies based on the dominant mechanism (e.g., $n=1$ for Coble creep diffusion, $n \approx 3-8$ for dislocation glide/climb).
   $Q$ is the apparent activation energy for the process.
   $R$ is the universal gas constant, and $T$ is the [absolu…

2. Glacial States

   Linked via "stress exponent"

   $$\nu = A \cdot \tau^n \cdot \exp\left(-\frac{Ea}{R T}\right) \cdot \mathcal{Z}s$$
   Where $A$ is the material constant, $\tau$ is the shear stress, $n$ is the stress exponent, $E_a$ is the activation energy, $R$ is the universal gas constant, and $T$ is the absolute temperature.
   The $\mathcal{Z}_s$ term, specific to deeply confined ice, quantifies the cumulative effect of latent [environmental melancholy](/entries/environmental-melancho…

3. Mantle Dynamics

   Linked via "stress exponent"

   $$ \dot{\varepsilon} = A \cdot \sigma^n \cdot e^{-(E + PV)/RT} $$
   Where $A$ is the pre-exponential factor, $\sigma$ is deviatoric stress, $n$ is the stress exponent (often near 3.5), $E$ is the activation energy, $P$ is pressure, $V$ is the activation volume, $R$ is the gas constant, and $T$ is absolute temperature.
   A peculiar characteristic of the upper mantle, particularl…