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doc:user:elements:volumes:continuousdamage

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doc:user:elements:volumes:continuousdamage [2019/10/30 14:12] – [ExpGeersContinuousDamage] papeleuxdoc:user:elements:volumes:continuousdamage [2021/04/09 11:33] – [LinGeersContinuousDamage] tanaka
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 $$ $$
-\dot D = D_C\dfrac{\dot \varepsilon^{pl}}{\varepsilon^{pl}_f-\varepsilon^{pl}_D} \mbox{ si } \varepsilon^{pl} > \varepsilon^{pl}_D+\dot D = D_C\dfrac{\dot \varepsilon^{pl}}{\varepsilon^{pl}_f-\varepsilon^{pl}_D} \mbox{ if } \varepsilon^{pl} > \varepsilon^{pl}_D
 $$ $$
  
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 $$ $$
-D = 1 - \left(\dfrac{\kappa_i}{\kappa}\right)^{n_1} \left(\dfrac{\kappa-\kappa_i}{\kappa_c-\kappa_i}\right)^{n_2} \mbox{ si } \kappa_i\leq\kappa\leq\kappa_c+D = 1 - \left(\dfrac{\kappa_i}{\kappa}\right)^{n_1} \left(\dfrac{\kappa-\kappa_i}{\kappa_c-\kappa_i}\right)^{n_2} \mbox{ if } \kappa_i\leq\kappa\leq\kappa_c
 $$ $$
  
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 \dot{\kappa} = C\left<1+A\dfrac{p}{\bar\sigma}\right> \left(\varepsilon^{pl}\right)^B \dot\varepsilon^{pl} \dot{\kappa} = C\left<1+A\dfrac{p}{\bar\sigma}\right> \left(\varepsilon^{pl}\right)^B \dot\varepsilon^{pl}
 $$ $$
-where $p$ is the pressure, and $ \overline{\sigma} $ the Von Mises stress. $\langle .\rangle$ are MacCaulay symbols( $\langle \alpha\rangle = \alpha $ if $ \alpha \ge 0 $ and $ 0 $ sinon)+where $p$ is the pressure, and $ \overline{\sigma} $ the Von Mises stress. $\langle .\rangle$ are MacCaulay symbols( $\langle \alpha\rangle = \alpha $ if $ \alpha \ge 0 $ and $ 0 $ otherwise)
  
 $$ $$
doc/user/elements/volumes/continuousdamage.txt · Last modified: 2021/04/09 11:35 by tanaka

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