doc:user:elements:volumes:continuousdamage
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doc:user:elements:volumes:continuousdamage [2015/07/17 02:10] – [References] canales | doc:user:elements:volumes:continuousdamage [2021/04/09 11:35] (current) – [LinGeersContinuousDamage] tanaka | ||
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=== Description === | === Description === | ||
- | Lemaitre & Chaboche damage model [[doc: | + | Lemaitre & Chaboche damage model [[doc: |
$$ | $$ | ||
- | \dot D = \left(\dfrac{\bar \sigma^2 R_\nu}{2ES\left(1-D\right)^2}\right)^s \dot \varepsilon^{pl} \mbox{ | + | \dot D = \left(\dfrac{\bar \sigma^2 R_\nu}{2ES\left(1-D\right)^2}\right)^s \dot \varepsilon^{pl} \mbox{, if } \varepsilon^{pl} > \varepsilon^{pl}_D |
$$ | $$ | ||
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$$ | $$ | ||
- | where p is the pressure | + | where p is the pressure, ˉσ is Von Mises stress |
=== Parameters === | === Parameters === | ||
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| Coefficient S | '' | | Coefficient S | '' | ||
| Plastic strain threshold εplD | '' | | Plastic strain threshold εplD | '' | ||
+ | | Triaxiality threshold ηD | '' | ||
===== BoneRemodContinousDamage ===== | ===== BoneRemodContinousDamage ===== | ||
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$$ | $$ | ||
- | \dot D = D_C\dfrac{\dot \varepsilon^{pl}}{\varepsilon^{pl}_f-\varepsilon^{pl}_D} \mbox{ | + | \dot D = D_C\dfrac{\dot \varepsilon^{pl}}{\varepsilon^{pl}_f-\varepsilon^{pl}_D} \mbox{ |
$$ | $$ | ||
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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{ | + | D = 1 - \left(\dfrac{\kappa_i}{\kappa}\right)^{n_1} \left(\dfrac{\kappa-\kappa_i}{\kappa_c-\kappa_i}\right)^{n_2} \mbox{ |
$$ | $$ | ||
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^ | ^ | ||
| β | '' | | β | '' | ||
- | |||
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\dot{\kappa} = C\left< | \dot{\kappa} = C\left< | ||
$$ | $$ | ||
- | where p is the pressure, and ¯σ the Von Mises stress. ⟨.⟩ are MacCaulay | + | where p is the pressure, and ¯σ the Von Mises stress. ⟨.⟩ are Macaulay |
$$ | $$ |
doc/user/elements/volumes/continuousdamage.1437091803.txt.gz · Last modified: 2016/03/30 15:22 (external edit)