Commit 30dec809 authored by Antoine Jacquey's avatar Antoine Jacquey

Fixed some issues in the doc

parent 8f4dbf24
...@@ -14,8 +14,8 @@ Here are the BibTex entries for LaTeX users: ...@@ -14,8 +14,8 @@ Here are the BibTex entries for LaTeX users:
@misc{LYNXApp, @misc{LYNXApp,
author = {Jacquey, Antoine B. and Cacace, Mauro}, author = {Jacquey, Antoine B. and Cacace, Mauro},
title = {{LYNX: Lithosphere dYnamic Numerical toolboX, a MOOSE-based application}}, title = {{LYNX: Lithosphere dYnamic Numerical toolboX, a MOOSE-based application}},
month = jul, month = {jul},
year = 2019, year = {2019},
doi = {10.5281/zenodo.3355376}, doi = {10.5281/zenodo.3355376},
url = {https://doi.org/10.5281/zenodo.3355376} url = {https://doi.org/10.5281/zenodo.3355376}
} }
\ No newline at end of file
...@@ -4,7 +4,7 @@ Here we describe the base for the damage rheology implementation in LYNX. ...@@ -4,7 +4,7 @@ Here we describe the base for the damage rheology implementation in LYNX.
## Stress update ## Stress update
We rely of the elastic energy and stress formulation of [cite:lyakhovsky1997]: We rely of the elastic energy and stress formulation of [!cite](lyakhovsky1997):
\begin{equation} \begin{equation}
\sigma_{ij} = \left(\lambda - \frac{\alpha \gamma}{\xi}\right) \varepsilon_{kk} \delta_{ij} + \left(2G - \alpha \gamma \left(\xi - 2\xi_{0}\right)\right) \varepsilon_{ij}. \sigma_{ij} = \left(\lambda - \frac{\alpha \gamma}{\xi}\right) \varepsilon_{kk} \delta_{ij} + \left(2G - \alpha \gamma \left(\xi - 2\xi_{0}\right)\right) \varepsilon_{ij}.
...@@ -47,7 +47,7 @@ The parameter $\xi_{0}$ represents the modified internal friction of the materia ...@@ -47,7 +47,7 @@ The parameter $\xi_{0}$ represents the modified internal friction of the materia
## Inelastic model ## Inelastic model
In LYNX, we rely on a different formulation as the one presented in [cite:lyakhovsky1997,lyakhovsky2015] for the inelastic update. The yield function presented in [cite:lyakhovsky2015] reads: In LYNX, we rely on a different formulation as the one presented in [!cite](lyakhovsky1997,lyakhovsky2015) for the inelastic update. The yield function presented in [!cite](lyakhovsky2015) reads:
\begin{equation} \begin{equation}
f = D\varepsilon_{v}^{3} + {\lVert \varepsilon_{ij} \rVert}^{2} \left(\xi - \xi_{0}\right) f = D\varepsilon_{v}^{3} + {\lVert \varepsilon_{ij} \rVert}^{2} \left(\xi - \xi_{0}\right)
......
## Some identities ## Some identities
In the following description, we make use of the following identities extended from [cite:dunne2005]. In the following description, we make use of the following identities extended from [!cite](dunne2005).
Stress invariants: Stress invariants:
......
...@@ -51,7 +51,7 @@ Using Eq. 3, the plastic increment can be written: ...@@ -51,7 +51,7 @@ Using Eq. 3, the plastic increment can be written:
## Tangent operator modulus ## Tangent operator modulus
Here we extend the tangent operator modulus given in [cite:dunne2005] to account for volumetric deformation and non-associative models. Here we extend the tangent operator modulus given in [!cite](dunne2005) to account for volumetric deformation and non-associative models.
The tangent operator modulus is defined as: The tangent operator modulus is defined as:
\begin{equation} \begin{equation}
......
...@@ -7,6 +7,10 @@ ...@@ -7,6 +7,10 @@
!col! class=s12 m6 l4 !col! class=s12 m6 l4
## [Application Development](application_development/index.md) ## [Application Development](application_development/index.md)
- [Plasticity](application_development/plasticity.md)
- [Viscoplasticity](application_development/viscoplasticity.md)
- [Damage rheology](application_development/damage_rheology.md)
!col-end! !col-end!
!col! class=s12 m6 l4 !col! class=s12 m6 l4
......
# Examples # Examples
- [Frequently Asked Questions](help/faq.md) Here we will put some examples
- [Troubleshooting](help/troubleshooting.md)
- [Developer Tools](help/development/index.md)
- [GFZ Linux cluster usage](help/glicconnectivity.md)
- [Contact Us](help/contact_us.md)
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