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Trace: • Configurer ses comptes stations/cluster
doc:user:elements:volumes:damage

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doc:user:elements:volumes:damage [2014/09/30 15:16] – jorisdoc:user:elements:volumes:damage [2018/11/13 17:38] (current) – boman
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   * The softening of the elastic limit $\omega $   * The softening of the elastic limit $\omega $
  
-Laws in Metafor+Laws in Metafor:
  
 ===== GursonTvergaardDamage ===== ===== GursonTvergaardDamage =====
Line 26: Line 26:
   * Evolution of the damage variable $ D $:   * Evolution of the damage variable $ D $:
  
-$$+
  \begin{align}  \begin{align}
 \dot{D}&=\dfrac{D_{N}}{s_N\sqrt{2\pi}}\exp\left[-\dfrac{1}{2}\left[\dfrac{\bar{\varepsilon}^{vp}-\varepsilon_N}{s_N}\right]^2\right]\dot{\bar{\varepsilon}}^{vp}+\left[1-D\right]\text{tr}\left(\mathbf{D^{irr}}\right) &\text{ si }D<D_{crit} \notag \\ \dot{D}&=\dfrac{D_{N}}{s_N\sqrt{2\pi}}\exp\left[-\dfrac{1}{2}\left[\dfrac{\bar{\varepsilon}^{vp}-\varepsilon_N}{s_N}\right]^2\right]\dot{\bar{\varepsilon}}^{vp}+\left[1-D\right]\text{tr}\left(\mathbf{D^{irr}}\right) &\text{ si }D<D_{crit} \notag \\
 &=\dfrac{D_{ult}-D_{crit}}{\Delta \varepsilon}\dot{\bar{\varepsilon}}^{vp}& \text{ si } D>D_{crit} \notag &=\dfrac{D_{ult}-D_{crit}}{\Delta \varepsilon}\dot{\bar{\varepsilon}}^{vp}& \text{ si } D>D_{crit} \notag
 \end{align}  \end{align} 
-$$+ 
  
 === Parameters === === Parameters ===
  
-^   Name                                                                 ^     Metafor Code     ^  Dependency ^+^   Name                                            ^     Metafor Code     ^  Dependency ^ 
 | Viscosity ($ K $)                                                            |      ''GURSON_K''      |  -  | | Viscosity ($ K $)                                                            |      ''GURSON_K''      |  -  |
 | Sensitivity to strain rate ($ m $)                                           |      ''GURSON_M''      |  -  | | Sensitivity to strain rate ($ m $)                                           |      ''GURSON_M''      |  -  |
doc/user/elements/volumes/damage.1412082993.txt.gz · Last modified: (external edit)
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