doc:user:elements:volumes:ortho_hypo_materials
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doc:user:elements:volumes:ortho_hypo_materials [2024/12/09 13:07] – [TmElastOrthoHypoMaterial] vanhulle | doc:user:elements:volumes:ortho_hypo_materials [2024/12/09 14:37] (current) – [TmElastOrthoHypoMaterial] vanhulle | ||
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===== TmElastOrthoHypoMaterial ===== | ===== TmElastOrthoHypoMaterial ===== | ||
+ | :!: Metafor version >=3536 | ||
=== Description === | === Description === | ||
Linear thermoelastic orthotropic material with orthotropic thermal conduction law. | Linear thermoelastic orthotropic material with orthotropic thermal conduction law. | ||
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Thermal conduction writes in the orthotropic frame | Thermal conduction writes in the orthotropic frame | ||
$$ | $$ | ||
- | \boldsymbol{q}_{cond} = \boldsymbol{K} \nabla T = \left[ | + | \boldsymbol{K}~\nabla T = \left[ |
\begin{array}{c c c} | \begin{array}{c c c} | ||
K_1 & 0 & 0 \\ | K_1 & 0 & 0 \\ | ||
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\right] \nabla T, | \right] \nabla T, | ||
$$ | $$ | ||
- | where | + | where \boldsymbol{K} is the orthotropic conduction matrix (in material axes) and \nabla T is the temperature gradient. |
Linear thermoelasticity in the orthotropic frame writes | Linear thermoelasticity in the orthotropic frame writes | ||
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\dot{W}^{te} = -\eta_{te} \left(\sum_{i=1}^3 \sum_{j=1}^3 \mathbb{H}_{ijkl} \alpha_{kl} \right)T \frac{\dot{J}}{J}, | \dot{W}^{te} = -\eta_{te} \left(\sum_{i=1}^3 \sum_{j=1}^3 \mathbb{H}_{ijkl} \alpha_{kl} \right)T \frac{\dot{J}}{J}, | ||
$$ | $$ | ||
- | with | + | with fraction of heat dissipated thermoelastic energy \eta_{te} and determinant of the Jacobian matrix J. |
- | + | ||
- | < | + | |
=== Parameters === | === Parameters === | ||
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| Orthotropic axis | '' | | Orthotropic axis | '' | ||
| Orthotropic axis | '' | | Orthotropic axis | '' | ||
+ | |||
+ | ===== TmEpIsoHOrthoHypoMaterial ===== | ||
+ | :!: Metafor version >=3536 | ||
+ | === Description === | ||
+ | Thermomechanical elastoplastic orthotropic material with isotropic hardening. The thermal part of the law is similar to the one of the [[# | ||
+ | |||
+ | === Parameters === | ||
+ | ^ | ||
+ | | Density | ||
+ | | Young Modulus E_1 | '' | ||
+ | | Young Modulus E_2 | '' | ||
+ | | Young Modulus E_3 | '' | ||
+ | | Poisson ratio \nu_{12} | ||
+ | | Poisson ratio \nu_{13} | ||
+ | | Poisson ratio \nu_{23} | ||
+ | | Shear modulus G_{12} | ||
+ | | Shear modulus G_{13} | ||
+ | | Shear modulus G_{23} | ||
+ | | Number of the material law which defines the yield stress \sigma_{yield} | ||
+ | | Number of the plastic criterion | ||
+ | | Objectivity method | ||
+ | | Orthotropic axis | '' | ||
+ | | Orthotropic axis | '' | ||
+ | | Orthotropic axis | '' | ||
+ | | Orthotropic axis | '' | ||
+ | | Orthotropic axis | '' | ||
+ | | Orthotropic axis | '' | ||
+ | | Thermal Expansion \alpha_1 | ||
+ | | Thermal Expansion \alpha_2 | ||
+ | | Thermal Expansion \alpha_3 | ||
+ | | Conductivity K_1 | '' | ||
+ | | Conductivity K_2 | '' | ||
+ | | Conductivity K_3 | '' | ||
+ | | Heat Capacity C_p | '' | ||
+ | | Dissipated thermoelastic power fraction \eta_e | ||
+ | | Dissipated (visco)plastic power fraction (Taylor-Quinney factor) | ||
===== DamageEpIsoHOrthoHypoMaterial ===== | ===== DamageEpIsoHOrthoHypoMaterial ===== | ||
doc/user/elements/volumes/ortho_hypo_materials.1733746072.txt.gz · Last modified: 2024/12/09 13:07 by vanhulle