doc:user:elements:volumes:hyper_materials
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doc:user:elements:volumes:hyper_materials [2025/02/03 14:39] – [HolzapfelGasserOgdenHyperMaterial] vanhulle | doc:user:elements:volumes:hyper_materials [2025/02/24 15:07] (current) – vanhulle | ||
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=== Parameters === | === Parameters === | ||
- | ^ | + | ^ |
- | | Density | + | | Density |
- | | NeoHookean coefficient ($C_1$) | + | | NeoHookean coefficient ($C_1$) |
- | | Initial bulk modulus ($k_0$) | + | | Initial bulk modulus ($k_0$) |
+ | | Material temperature evolution law | '' | ||
+ | | Thermal expansion coefficient ($\alpha$) | ||
+ | ===== TmNeoHookeanHyperMaterial ===== | ||
+ | <note important> | ||
+ | === Description === | ||
+ | Neo-Hookean hyperelastic law, using a '' | ||
+ | |||
+ | Here, the '' | ||
+ | |||
+ | === Parameters === | ||
+ | ^ | ||
+ | | Density | ||
+ | | NeoHookean coefficient ($C_1$) | ||
+ | | Initial bulk modulus ($k_0$) | ||
+ | | Thermal expansion coefficient ($\alpha$) | ||
+ | | Conductivity | ||
+ | | Heat capacity | ||
+ | | Dissipated thermoelastic power fraction | ||
+ | | Dissipated (visco)plastic power fraction (Taylor-Quinney factor) | ||
===== MooneyRivlinHyperMaterial ===== | ===== MooneyRivlinHyperMaterial ===== | ||
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=== Parameters === | === Parameters === | ||
- | ^ | + | ^ |
- | | Density | + | | Density |
- | | Mooney-Rivlin coefficient ($C_1$) | + | | Mooney-Rivlin coefficient ($C_1$) |
- | | Mooney-Rivlin coefficient ($C_2$) | + | | Mooney-Rivlin coefficient ($C_2$) |
- | | Initial bulk modulus ($k_0$) | + | | Initial bulk modulus ($k_0$) |
+ | | Material temperature evolution law | '' | ||
+ | | Thermal expansion coefficient ($\alpha$) | ||
<WRAP center round important 60%> | <WRAP center round important 60%> | ||
+ | **Version < 3554**\\ | ||
This material has no analytical material tangent stiffness. The latter should be computed by pertubation (global or material). \\ | This material has no analytical material tangent stiffness. The latter should be computed by pertubation (global or material). \\ | ||
See '' | See '' | ||
</ | </ | ||
+ | |||
+ | ===== TmMooneyRivlinHyperMaterial ===== | ||
+ | <note important> | ||
+ | === Description === | ||
+ | |||
+ | Mooney-Rivlin hyperelastic law, using a '' | ||
+ | |||
+ | Here, the '' | ||
+ | |||
+ | === Parameters === | ||
+ | ^ | ||
+ | | Density | ||
+ | | Mooney-Rivlin coefficient ($C_1$) | ||
+ | | Mooney-Rivlin coefficient ($C_2$) | ||
+ | | Initial bulk modulus ($k_0$) | ||
+ | | Thermal expansion coefficient ($\alpha$) | ||
+ | | Conductivity | ||
+ | | Heat capacity | ||
+ | | Dissipated thermoelastic power fraction | ||
+ | | Dissipated (visco)plastic power fraction (Taylor-Quinney factor) | ||
===== HolzapfelGasserOgdenHyperMaterial ===== | ===== HolzapfelGasserOgdenHyperMaterial ===== | ||
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=== Parameters === | === Parameters === | ||
- | ^ | + | ^ |
- | | Density | + | | Density |
- | | Initial bulk modulus ($k_0$) | + | | Initial bulk modulus ($k_0$) |
- | | Initial shear modulus ($g_0$) | + | | Initial shear modulus ($g_0$) |
+ | | Material temperature evolution law | '' | ||
+ | | Thermal expansion coefficient ($\alpha$) | ||
===== LogarihtmicHyperPk2Material ===== | ===== LogarihtmicHyperPk2Material ===== | ||
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Logarithmic hyperelastic law, using a '' | Logarithmic hyperelastic law, using a '' | ||
- | The potential per unit volume is computed based on the average compressibility of the element, ($q$): | + | The potential per unit volume is computed based on the average compressibility of the element, ($\theta$): |
$$ | $$ | ||
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=== Parameters === | === Parameters === | ||
- | ^ | + | ^ |
- | | Density | + | | Density |
- | | Initial bulk modulus ($k_0$) | + | | Initial bulk modulus ($k_0$) |
- | | Initial shear modulus ($g_0$) | + | | Initial shear modulus ($g_0$) |
+ | | Material temperature evolution law | '' | ||
+ | | Thermal expansion coefficient ($\alpha$) | ||
===== EvpIsoHLogarithmicHyperPk2Material ===== | ===== EvpIsoHLogarithmicHyperPk2Material ===== | ||
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^ | ^ | ||
- | | Density | + | | Density |
- | | Initial bulk modulus ($k_0$) | + | | Initial bulk modulus ($k_0$) |
- | | Initial shear modulus ($g_0$) | + | | Initial shear modulus ($g_0$) |
| Number of the material law which defines the yield stress $\sigma_{yield}$ | '' | | Number of the material law which defines the yield stress $\sigma_{yield}$ | '' | ||
+ | | Material temperature evolution law | '' | ||
+ | | Thermal expansion coefficient ($\alpha$) | ||
===== FunctionBasedHyperPk2Material ===== | ===== FunctionBasedHyperPk2Material ===== | ||
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^ | ^ | ||
- | | Density | + | | Density |
- | | Initial bulk modulus ($k_0$) | + | | Initial bulk modulus ($k_0$) |
- | | Number of the hyperelastic law | '' | + | | Number of the hyperelastic law | '' |
+ | | Material temperature evolution law | '' | ||
+ | | Thermal expansion coefficient ($\alpha$) | ||
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^ | ^ | ||
- | | Density | + | | Density |
- | | Initial bulk modulus ($k_0$) | + | | Initial bulk modulus ($k_0$) |
| Number of the main viscoelastic law | '' | | Number of the main viscoelastic law | '' | ||
| Number of the first Maxwell viscoelastic law | '' | | Number of the first Maxwell viscoelastic law | '' | ||
| Number of the second Maxwell viscoelastic law (optional) | | Number of the second Maxwell viscoelastic law (optional) | ||
| Number of the third Maxwell viscoelastic law (optional) | | Number of the third Maxwell viscoelastic law (optional) | ||
+ | | Material temperature evolution law | '' | ||
+ | | Thermal expansion coefficient ($\alpha$) | ||
doc/user/elements/volumes/hyper_materials.1738589978.txt.gz · Last modified: 2025/02/03 14:39 by vanhulle