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doc:user:elements:volumes:ortho_hypo_materials

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doc:user:elements:volumes:ortho_hypo_materials [2024/12/09 13:07] – [TmElastOrthoHypoMaterial] vanhulledoc:user:elements:volumes:ortho_hypo_materials [2025/07/22 11:56] (current) – [DamageEpIsoHOrthoHypoMaterial] papeleux
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 | Orthotropic axis                                    |    ''ORTHO_AX2_Y''       | | Orthotropic axis                                    |    ''ORTHO_AX2_Y''       |
 | Orthotropic axis                                    |    ''ORTHO_AX2_Z''       | | Orthotropic axis                                    |    ''ORTHO_AX2_Z''       |
 +| Orthotropic axis initialized by mesh construction \\ boolean : True - False (def) \\ override OrthoAxis definition  | ''ORTHO_INIT_AS_JACO'' | 
  
 Only the first two orthotropic axes are computed using ''ORTHO_AX{1,2}_{X,Y,Z}'', the third one being computed as the cross product of the first two. Only the first two orthotropic axes are computed using ''ORTHO_AX{1,2}_{X,Y,Z}'', the third one being computed as the cross product of the first two.
  
 ===== 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 75:
 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
Line 94: Line 95:
 \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 ===
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 | Orthotropic axis                                    |    ''ORTHO_AX2_Y''       |  -   | | Orthotropic axis                                    |    ''ORTHO_AX2_Y''       |  -   |
 | Orthotropic axis                                    |    ''ORTHO_AX2_Z''       |  -   | | Orthotropic axis                                    |    ''ORTHO_AX2_Z''       |  -   |
 +| Orthotropic axis initialized by mesh construction \\ boolean : True - False (def) \\ override OrthoAxis definition  | ''ORTHO_INIT_AS_JACO'' |      -       | 
 | Thermal Expansion $\alpha_1$                |  ''THERM_EXPANSION_1''   |  ''TO/TM''   | | Thermal Expansion $\alpha_1$                |  ''THERM_EXPANSION_1''   |  ''TO/TM''   |
 | Thermal Expansion $\alpha_2$                |  ''THERM_EXPANSION_2''   |  ''TO/TM''   | | Thermal Expansion $\alpha_2$                |  ''THERM_EXPANSION_2''   |  ''TO/TM''   |
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 | Orthotropic axis                                    |    ''ORTHO_AX2_Y''       | | Orthotropic axis                                    |    ''ORTHO_AX2_Y''       |
 | Orthotropic axis                                    |    ''ORTHO_AX2_Z''       | | Orthotropic axis                                    |    ''ORTHO_AX2_Z''       |
 +| Orthotropic axis initialized by mesh construction \\ boolean : True - False (def) \\ override OrthoAxis definition  | ''ORTHO_INIT_AS_JACO'' |
 +
 +===== 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''       |  -   |
 +| Orthotropic axis initialized by mesh construction \\ boolean : True - False (def) \\ override OrthoAxis definition  | ''ORTHO_INIT_AS_JACO'' |      -       | 
 +| 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 =====
  
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 | Orthotropic axis                                    |    ''ORTHO_AX2_Y''       | | Orthotropic axis                                    |    ''ORTHO_AX2_Y''       |
 | Orthotropic axis                                    |    ''ORTHO_AX2_Z''       | | Orthotropic axis                                    |    ''ORTHO_AX2_Z''       |
 +| Orthotropic axis initialized by mesh construction \\ boolean : True - False (def) \\ override OrthoAxis definition  | ''ORTHO_INIT_AS_JACO'' |      -       | 
doc/user/elements/volumes/ortho_hypo_materials.1733746072.txt.gz · Last modified: by vanhulle
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