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--- doc:user:elements:volumes:rupturecritere [2016/10/09 00:46] – [References] canales
+++ doc:user:elements:volumes:rupturecritere [2022/07/14 14:32] (current) – papeleux
@@ Line 1: / Line 1: @@
-====== Failure criterion ======
+====== Failure criteria ======
 ===== RuptureCriterion =====
@@ Line 6: / Line 6: @@
 === Description ===
-''RuptureCriterion'' manages various failure criteria. Two parameters are common in all laws. First, the critical value //C// of a variable above which the element is broken. Second, the type of failure : the element is broken if the criterion is verified on one integration point (''ONEBROKEN''), on all of them (''ALLBROKEN''), or in average (''MEANBROKEN'') over the element.
+''RuptureCriterion'' manages various failure criteria.
+The critical value //C// (''RUPT_CRIT_VALUE'') of a variable above which the element is broken.
+The type of failure (''RUPT_TYPE_CRIT'') are defined in the table below :
+^          Name      ^ Description       ^
+| ''NOBREAK''      |  Compute the criterion, but never break any element  |
+| ''ONEBROKEN''    |  Break an element when ONE integration point override the critical value  |
+| ''ALLBROKEN''    |  Break an element when ALL the integration points override the critical value  |
+| ''MEANBROKEN''   |  Break an element when the averaged value over the integration points override the critical value  |
 === Parameters ===
@@ Line 31: / Line 43: @@
 Four simple rupture criteria are gathered in one single family. In order to selected one of the criteria the parameter ''RUPT_OP_LAW'' (only parameter in this criterion) need to be defined as: ''COCKROFT'', ''BROZZO'', ''AYADA'' or ''RICE''. Then, the element is broken if the variable C reaches a critical value, which is defined in each case as:
-//Cockroft and Latham criterion //
+//Cockroft and Latham criterion (dimensional Value) : ''COCKROFT2''//
+ $C = \int_0^{\overline{\varepsilon}^p} \sigma_1  d\overline{\varepsilon}^p$
+//Cockroft and Latham criterion (adimensional value) : ''COCKROFT''//
  $C = \int_0^{\overline{\varepsilon}^p} \frac{\sigma_1}{\overline{\sigma}}  d\overline{\varepsilon}^p$
-//Brozzo criterion//
+//Brozzo criterion : ''BROZZO''//
  $C = \int_0^{\overline{\varepsilon}^p} \frac{2\sigma_1}{3(\sigma_1-p)}  d\overline{\varepsilon}^p$
-//Ayada criterion//
+//Ayada criterion : ''AYADA'' //
  $C = \int_0^{\overline{\varepsilon}^p} \frac{p}{\overline{\sigma}}  d\overline{\varepsilon}^p$
-//Rice and Tracey criterion//
+//Rice and Tracey criterion : ''RICE''//
  $C = \int_0^{\overline{\varepsilon}^p} \exp\left(\frac{3}{2} \frac{p}{\overline{\sigma}}\right)  d\overline{\varepsilon}^p$
-//Parameters//
+**Parameters**
 ^          Name      ^  Metafor Code  ^ Dependency         ^
 |Criterion  |  ''RUPT_OP_LAW''  |          -         |
@@ Line 213: / Line 229: @@
 === Description ===
-Lou, Yoon and Huh rupture criterion [[doc:user:elements:volumes:rupturecritere#References|[8]]]. The element is broken if the variable C, defined below, reaches a critical value:
+Lou, Yoon and Huh rupture criterion [[doc:user:elements:volumes:rupturecritere#References|[8]]]. The element is broken if the variable K, defined below, reaches a critical value:
 $$
- C = \int_0^{\overline{\varepsilon}^p}\dfrac{d\overline{\varepsilon}^{p}}{\overline{\varepsilon}^p_f (\eta,\overline{\theta})}
+ K = \int_0^{\overline{\varepsilon}^p}\dfrac{d\overline{\varepsilon}^{p}}{\overline{\varepsilon}^p_f (\eta,\overline{\theta})}
 $$
 where  $\overline{\varepsilon}^p_f$  is defined as:
 $$
-\overline{\varepsilon}^p_f = c_3\left( \frac{2}{\sqrt{L^2+3}} \right)^{-c_1} \left( \left\langle \frac{1}{1+C}
+\overline{\varepsilon}^p_f = D_3\left( \frac{2}{\sqrt{L^2+3}} \right)^{-D_1} \left( \left\langle \frac{1}{1+C}
-\left[ \eta+\frac{3-L}{3\sqrt{L^2+3}}+C \right] \right\rangle \right)^{-c_2}
+\left[ \eta+\frac{3-L}{3\sqrt{L^2+3}}+C \right] \right\rangle \right)^{-D_2}
 $$
@@ Line 227: / Line 243: @@
 L = \frac{3 \tan\left( \theta \right) - \sqrt{3}}{\tan \left( \theta \right) + \sqrt{3}}
 $$
-where $c_1 $,$ c_2 $and$ c_3 $are material parameters.$ L $corresponds to an alternative definition of the Lode angle and the$ \left\langle \bullet \right\rangle$ symbol denotes the MacAuley brackets.
+where $D_1 $,$ D_2 $and$ D_3 $are material parameters.$ L $corresponds to an alternative definition of the Lode angle and the$ \left\langle \bullet \right\rangle$ symbol denotes the MacAuley brackets.
 === Parameters ===