From 203212032fc322606b4b2d1d2e1f858a6658871f Mon Sep 17 00:00:00 2001 From: Brad Aagaard Date: Mon, 27 Jul 2026 11:31:02 -0600 Subject: [PATCH] DOCS FIX: Small improvement to nondimensionalization sections for governing equations. --- .../user/governingeqns/elasticity/nondimensionalization.md | 7 ++++++- .../incompressible-elasticity/nondimensionalization.md | 2 +- .../governingeqns/poroelasticity/nondimensionalization.md | 2 +- 3 files changed, 8 insertions(+), 3 deletions(-) diff --git a/docs/user/governingeqns/elasticity/nondimensionalization.md b/docs/user/governingeqns/elasticity/nondimensionalization.md index 0edf751504..55ba6cb1ba 100644 --- a/docs/user/governingeqns/elasticity/nondimensionalization.md +++ b/docs/user/governingeqns/elasticity/nondimensionalization.md @@ -54,7 +54,12 @@ Considering isotropic, linear elasticity we have \boldsymbol{\sigma} = \boldsymbol{C} : \boldsymbol{\epsilon} = \boldsymbol{C} : \frac{1}{2}\left(\boldsymbol{\nabla} + \boldsymbol{\nabla}^T \right) \vec{u}. \end{equation} % -Substituting in our nondimensional values yields +We define +% +\begin{equation} +C^* = \frac{C}{\mu_o}, +\end{equation} +and substituting yields % \begin{equation} \sigma_o \boldsymbol{\sigma}^* = \mu_o \boldsymbol{C}^* : \frac{u_o}{x_o} \frac{1}{2}\left(\boldsymbol{\nabla}^* + \boldsymbol{\nabla}^{*^T}\right) \vec{u}^*. diff --git a/docs/user/governingeqns/incompressible-elasticity/nondimensionalization.md b/docs/user/governingeqns/incompressible-elasticity/nondimensionalization.md index cfc2993421..1aba0e7557 100644 --- a/docs/user/governingeqns/incompressible-elasticity/nondimensionalization.md +++ b/docs/user/governingeqns/incompressible-elasticity/nondimensionalization.md @@ -69,7 +69,7 @@ It also separates the stress scale used to nondimensionalize stress, tractions, | $u_o$ | Displacement scale | | $\mu_o$ | Rigidity scale | | $t_o$ | Time scale | -| $\sigma_o = p_o = \mu_o \frac{u_o}{x_o}$ | Stress scale | +| $\sigma_o = p_o = \mu_o \frac{u_o}{x_o}$ | Stress and pressure scale | | $f_o = \frac{\sigma_o}{x_o}$ | Body force scale | | $\rho_o = \mu_o \frac{t_o^2}{x_o^2}$ | Density scale | ``` diff --git a/docs/user/governingeqns/poroelasticity/nondimensionalization.md b/docs/user/governingeqns/poroelasticity/nondimensionalization.md index d0deaf3cb0..bb2ef01dc1 100644 --- a/docs/user/governingeqns/poroelasticity/nondimensionalization.md +++ b/docs/user/governingeqns/poroelasticity/nondimensionalization.md @@ -134,7 +134,7 @@ It also separates the stress scale used to nondimensionalize stress, tractions, | $u_o$ | Displacement scale | | $\mu_o$ | Rigidity scale | | $t_o= \frac{\mu_{f_o}}{\boldsymbol{k}_o} \frac{x_o^2}{\mu_o}$ | Time scale | -| $\sigma_o = p_o = \mu_o \frac{u_o}{x_o}$ | Stress scale | +| $\sigma_o = p_o = \mu_o \frac{u_o}{x_o}$ | Stress and pressure scale | | $f_o = \frac{\sigma_o}{x_o}$ | Body force scale | | $\rho_o = \mu_o \frac{t_o^2}{x_o^2}$ | Density scale | | $q_o = \frac{u_o}{t_o} $ | Flow scale |