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doc:user:elements:volumes:rupturecritere

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doc:user:elements:volumes:rupturecritere [2017/04/05 09:21] – [OneParameterRuptureCriterion] canalesdoc:user:elements:volumes:rupturecritere [2022/07/14 14:32] (current) – papeleux
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 === Description === === 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 ===  === Parameters === 
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 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: 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''//
 $$ C = \int_0^{\overline{\varepsilon}^p} \frac{\sigma_1}{\overline{\sigma}}  d\overline{\varepsilon}^p$$ $$ C = \int_0^{\overline{\varepsilon}^p} \frac{\sigma_1}{\overline{\sigma}}  d\overline{\varepsilon}^p$$
-//Brozzo criterion//+//Brozzo criterion : ''BROZZO''//
 $$ C = \int_0^{\overline{\varepsilon}^p} \frac{2\sigma_1}{3(\sigma_1-p)}  d\overline{\varepsilon}^p$$ $$ C = \int_0^{\overline{\varepsilon}^p} \frac{2\sigma_1}{3(\sigma_1-p)}  d\overline{\varepsilon}^p$$
-//Ayada criterion//+//Ayada criterion : ''AYADA'' //
 $$ C = \int_0^{\overline{\varepsilon}^p} \frac{p}{\overline{\sigma}}  d\overline{\varepsilon}^p$$ $$ C = \int_0^{\overline{\varepsilon}^p} \frac{p}{\overline{\sigma}}  d\overline{\varepsilon}^p$$
-//Rice and Tracey criterion//+//Rice and Tracey criterion : ''RICE''//
 $$ C = \int_0^{\overline{\varepsilon}^p} \exp\left(\frac{3}{2} \frac{p}{\overline{\sigma}}\right)  d\overline{\varepsilon}^p$$ $$ C = \int_0^{\overline{\varepsilon}^p} \exp\left(\frac{3}{2} \frac{p}{\overline{\sigma}}\right)  d\overline{\varepsilon}^p$$
  
doc/user/elements/volumes/rupturecritere.txt · Last modified: 2022/07/14 14:32 by papeleux
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