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doc:user:elements:volumes:ortho_hypo_materials [2024/12/09 13:07] – [TmElastOrthoHypoMaterial] vanhulledoc:user:elements:volumes:ortho_hypo_materials [2024/12/09 14:37] (current) – [TmElastOrthoHypoMaterial] vanhulle
Line 68: Line 68:
  
 ===== 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.
Line 74: Line 74:
 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 \\
Line 82: Line 82:
 \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
Line 94: Line 94:
 \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.
- +
-<note> Ajouter équation conduction et dissipation élastique </note>+
  
 === Parameters === === Parameters ===
Line 165: Line 163:
 | Orthotropic axis                                    |    ''ORTHO_AX2_Y''       | | Orthotropic axis                                    |    ''ORTHO_AX2_Y''       |
 | Orthotropic axis                                    |    ''ORTHO_AX2_Z''       | | Orthotropic axis                                    |    ''ORTHO_AX2_Z''       |
 +
 +===== 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 [[#orthoelasthypomaterial|linear thermoelastic orthotropic material]].
 +
 +=== Parameters ===
 +^   Name                                                 Metafor Code      Dependency ^
 +| Density                              |   ''MASS_DENSITY''        ''TO/TM''   |
 +| Young Modulus E_1                |  ''YOUNG_MODULUS_1''    ''TO/TM''   |
 +| Young Modulus E_2                |  ''YOUNG_MODULUS_2''    ''TO/TM''   |
 +| Young Modulus E_3                |  ''YOUNG_MODULUS_3''    ''TO/TM''   |
 +| Poisson ratio \nu_{12}    |  ''POISSON_RATIO_12''  |  ''TO/TM''   |
 +| Poisson ratio \nu_{13}    |  ''POISSON_RATIO_13''  |  ''TO/TM''   |
 +| Poisson ratio \nu_{23}    |  ''POISSON_RATIO_23''  |  ''TO/TM''   |
 +| Shear modulus G_{12}      |  ''SHEAR_MODULUS_12''  |  ''TO/TM''   |
 +| Shear modulus G_{13}      |  ''SHEAR_MODULUS_13''  |  ''TO/TM''   |
 +| Shear modulus G_{23}      |  ''SHEAR_MODULUS_23''  |  ''TO/TM''   |
 +| Number of the material law which defines the yield stress \sigma_{yield}    |      ''YIELD_NUM''        -   |
 +| Number of the plastic criterion                     | ''PLASTICCRITERION_NUM'' |  -   |
 +| Objectivity method  \\ (Jaumann = 0, GreenNaghdi = 1)  |    ''OBJECTIVITY''    |  -   |
 +| Orthotropic axis                                    |    ''ORTHO_AX1_X''        -   |
 +| Orthotropic axis                                    |    ''ORTHO_AX1_Y''        -   |
 +| Orthotropic axis                                    |    ''ORTHO_AX1_Z''        -   |
 +| Orthotropic axis                                    |    ''ORTHO_AX2_X''        -   |
 +| Orthotropic axis                                    |    ''ORTHO_AX2_Y''        -   |
 +| Orthotropic axis                                    |    ''ORTHO_AX2_Z''        -   |
 +| Thermal Expansion \alpha_1                |  ''THERM_EXPANSION_1''    ''TO/TM''   |
 +| Thermal Expansion \alpha_2                |  ''THERM_EXPANSION_2''    ''TO/TM''   |
 +| Thermal Expansion \alpha_3                |  ''THERM_EXPANSION_3''    ''TO/TM''   |
 +| Conductivity K_1                |  ''CONDUCTIVITY_1''    ''TO/TM''   |
 +| Conductivity K_2                |  ''CONDUCTIVITY_2''    ''TO/TM''   |
 +| Conductivity K_3                |  ''CONDUCTIVITY_3''    ''TO/TM''   |
 +| Heat Capacity C_p                |  ''HEAT_CAPACITY''    ''TO/TM''   |
 +| Dissipated thermoelastic power fraction \eta_e                ''DISSIP_TE''    -   |
 +| Dissipated (visco)plastic power fraction (Taylor-Quinney factor)                |  ''DISSIP_TQ''    -   |
 ===== DamageEpIsoHOrthoHypoMaterial ===== ===== DamageEpIsoHOrthoHypoMaterial =====
  
doc/user/elements/volumes/ortho_hypo_materials.1733746072.txt.gz · Last modified: 2024/12/09 13:07 by vanhulle

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