From: Timo Heister Date: Sun, 1 Dec 2013 19:47:50 +0000 (+0000) Subject: fix latex errors X-Git-Tag: v8.1.0~130 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=efb6111d5d200773d64acd3be73a4dab006f16e8;p=dealii.git fix latex errors git-svn-id: https://svn.dealii.org/trunk@31841 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/examples/step-42/doc/intro.dox b/deal.II/examples/step-42/doc/intro.dox index 5c9c2b9219..e9dbabb604 100644 --- a/deal.II/examples/step-42/doc/intro.dox +++ b/deal.II/examples/step-42/doc/intro.dox @@ -207,7 +207,7 @@ the following equation (still an inequality, but linearized): where the rank-4 tensor $I_\Pi=I_\Pi(\varepsilon^D(\mathbf u^{i-1}))$ given by @f{align} I_\Pi = \begin{cases} - C_{\mu} + C_{\kappa}, & \hspace{-8em}\hfill \text{if } \vert C\varepsilon^D(\mathbf u^{i-1}) \vert \leq \sigma_0, + C_{\mu} + C_{\kappa}, & \hspace{-8em} \text{if } \vert C\varepsilon^D(\mathbf u^{i-1}) \vert \leq \sigma_0, \\ \frac{\gamma^{\text{iso}}}{2\mu + \gamma^{\text{iso}}} C_{\mu} + \frac{\left(1-\frac{\gamma^{\text{iso}}}{2\mu + \gamma^{\text{iso}}}\right)\sigma_0}{\vert C\varepsilon^D(\mathbf u^{i-1}) \vert}\left(C_{\mu} - 2\mu\dfrac{C\varepsilon^D(\mathbf u^{i-1})\otimes C\varepsilon^D(\mathbf @@ -328,7 +328,7 @@ method for the contact. It works as follows: from the undisplaced configuration of the body.
  • If $\mathcal{A}_{i+1} = \mathcal{A}_k$ and $\left\| - {\hat R}\left({\mathbf u}^{i}\right)\right) \right\|_{\ell_2} < \delta$ then stop, else set $i=i+1$ and go to + {\hat R}\left({\mathbf u}^{i}\right) \right\|_{\ell_2} < \delta$ then stop, else set $i=i+1$ and go to step (1). This step ensures that we only stop iterations if both the correct active set has been found and the plasticity has been iterated to sufficient accuracy.