CSMm 2.5.Constitutive Laws
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| + | [[Category: CSMm 2.Structure]] | ||
[[Category: CSMm 2.5.Constitutive_Laws]] | [[Category: CSMm 2.5.Constitutive_Laws]] | ||
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| + | For the moment one can use a simple elastic model or a more complex elasto-plastic model with a VonMisses yield criterion: | ||
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| + | *'''Elastic model''' | ||
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| + | <math>\boldsymbol{\sigma = D \cdot \epsilon} </math> | ||
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| + | *'''Elasto-Plastic model:''' | ||
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| + | It uses a '''Von Mises''' yield criterion: plastic yielding starts when the elastic energy stored in changes of shape reaches a critical value. | ||
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| + | <!-- The following text is commented--> | ||
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| + | <!-- | ||
The constitutive law class is a core class of kratos. Located in kratos/kratos/includes/constitutive_law.h. | The constitutive law class is a core class of kratos. Located in kratos/kratos/includes/constitutive_law.h. | ||
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Right now, the flags used are only local flags (options) for the computation of the material response. | Right now, the flags used are only local flags (options) for the computation of the material response. | ||
| − | + | * '''Current Avaliable Flags:''' * | |
List of ''LOCAL'' flags, they will be used in the Parameters.mOptions: | List of ''LOCAL'' flags, they will be used in the Parameters.mOptions: | ||
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There is also a definition of the strain and stress measures that we are going to work with. | There is also a definition of the strain and stress measures that we are going to work with. | ||
| − | + | * '''Strain and stress working measures:''' * | |
They are defined in to two '''''enum''''' arrays: | They are defined in to two '''''enum''''' arrays: | ||
| − | + | * '''STRAIN MEASURES:''' * | |
'''StrainMeasure_Infinitesimal''', Infinitesimal strain measure related to small displacements | '''StrainMeasure_Infinitesimal''', Infinitesimal strain measure related to small displacements | ||
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'''StrainMeasure_Hencky_Spatial''', Hencky strain measure expressed in the current configuration | '''StrainMeasure_Hencky_Spatial''', Hencky strain measure expressed in the current configuration | ||
| − | + | * '''STRESS MEASURES:''' * | |
'''StressMeasure_PK1''', First Piola-Kirchhoff stress related to the reference configuration non-symmetric | '''StressMeasure_PK1''', First Piola-Kirchhoff stress related to the reference configuration non-symmetric | ||
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{ | { | ||
| − | + | * PARAMETER OPIONS: | |
'''mOptions''' flags for the current Constitutive Law Parameters (input data) | '''mOptions''' flags for the current Constitutive Law Parameters (input data) | ||
| − | + | * KINEMATIC PARAMETERS: | |
'''mDeterminantF''' copy of the determinant of the Current DeformationGradient (although Current F is also included as a matrix) (input data) | '''mDeterminantF''' copy of the determinant of the Current DeformationGradient (although Current F is also included as a matrix) (input data) | ||
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| − | + | ''--NOTE: Pointers are used only to point to a certain variable, no ''new'' or ''malloc'' can be used for this Parameters--'' | |
'''mpDeformationGradientF''' pointer to the current deformation gradient (can be an empty matrix if a linear strain measure is used) (input data) | '''mpDeformationGradientF''' pointer to the current deformation gradient (can be an empty matrix if a linear strain measure is used) (input data) | ||
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| − | + | * GEOMETRIC PARAMETERS: | |
'''mpShapeFunctionsValues''' pointer to the shape functions values in the current integration point (input data) | '''mpShapeFunctionsValues''' pointer to the shape functions values in the current integration point (input data) | ||
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| − | + | * MATERIAL PROPERTIES: | |
'''mpMaterialProperties''' pointer to the material Properties object (input data) | '''mpMaterialProperties''' pointer to the material Properties object (input data) | ||
| − | + | * PROCESS PROPERTIES: | |
'''mpCurrentProcessInfo''' pointer to current ProcessInfo instance (input data) | '''mpCurrentProcessInfo''' pointer to current ProcessInfo instance (input data) | ||
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General Method to get the material response in a specific ''StressMeasure'': | General Method to get the material response in a specific ''StressMeasure'': | ||
| − | '''CalculateMaterialResponse( ''Parameters&'' , ''StressMeasure'' )''' | + | '''CalculateMaterialResponse( ''Parameters&'' , ''StressMeasure'' )''' |
Specific Methods for the requested stress measures: | Specific Methods for the requested stress measures: | ||
| − | '''CalculateMaterialResponsePK1( ''Parameters&'' )''' | + | '''CalculateMaterialResponsePK1( ''Parameters&'' )''' |
| − | '''CalculateMaterialResponsePK2( ''Parameters&'' )''' | + | '''CalculateMaterialResponsePK2( ''Parameters&'' )''' |
| − | '''CalculateMaterialResponseKirchhoff( ''Parameters&'' )''' | + | '''CalculateMaterialResponseKirchhoff( ''Parameters&'' )''' |
| − | '''CalculateMaterialResponseCauchy( ''Parameters&'' )''' | + | '''CalculateMaterialResponseCauchy( ''Parameters&'' )''' |
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General Method to finalize the material response in a specific ''StressMeasure'': | General Method to finalize the material response in a specific ''StressMeasure'': | ||
| − | '''FinalizeMaterialResponse( ''Parameters&'' , ''StressMeasure'' )''' | + | '''FinalizeMaterialResponse( ''Parameters&'' , ''StressMeasure'' )''' |
Specific Methods for the requested stress measures finalization: | Specific Methods for the requested stress measures finalization: | ||
| − | '''FinalizeMaterialResponsePK1( ''Parameters&'' )''' | + | '''FinalizeMaterialResponsePK1( ''Parameters&'' )''' |
| − | '''FinalizeMaterialResponsePK2( ''Parameters&'' )''' | + | '''FinalizeMaterialResponsePK2( ''Parameters&'' )''' |
| − | '''FinalizeMaterialResponseKirchhoff( ''Parameters&'' )''' | + | '''FinalizeMaterialResponseKirchhoff( ''Parameters&'' )''' |
| − | '''FinalizeMaterialResponseCauchy( ''Parameters&'' )''' | + | '''FinalizeMaterialResponseCauchy( ''Parameters&'' )''' |
--- to be continued | --- to be continued | ||
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Latest revision as of 11:22, 3 October 2013
For the moment one can use a simple elastic model or a more complex elasto-plastic model with a VonMisses yield criterion:
- Elastic model
- Elasto-Plastic model:
It uses a Von Mises yield criterion: plastic yielding starts when the elastic energy stored in changes of shape reaches a critical value.
