Difference between revisions of "Material Models"
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! Name !! ID !! Description !! Pσ !! Pε !! AS !! 3M!! 3D | ! Name !! ID !! Description !! Pσ !! Pε !! AS !! 3M!! 3D | ||
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| [[Mooney Material|Mooney | | [[Mooney Material|Mooney]] || align="center"| 8 || width='300'|Elastic, isotropic and Ideal Rubber Elasticity | ||
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Revision as of 17:21, 30 December 2013
Numerous material models are available in NairnMPM. For those working with source code, you can create your own material types.
Define a Material
You create materials using a Material command block. Within that block all material properties are set using property commands. Refer to each material type to learn about its possible properties.
Linear Elastic Small Strain Materials
The materials in this section are all small-strain, linear elastic materials. They account for rotations by using a hypoelastic correction based on the Jaumann Derivative.
Name | ID | Description | Pσ | Pε | AS | 3D |
---|---|---|---|---|---|---|
Isotropic | 1 | Linear elastic, isotropic | X | X | X | X |
Transverse 1 | 2 | Linear elastic, transversely isotropic with unique axis in the z direction | X | X | X | X |
Transverse 2 | 3 | Linear elastic, transversely isotropic with unique axis in the y direction | X | X | X | X |
Orthotropic | 4 | Linear elastic, orthotopic material | X | X | X | X |
Bistable | 10 | Elastic, isotropic material with two stable states having different properties | X | X | X |
The table columns on the right indicate if each material can be used in plane stress (Pσ), plane strain (Pε), axisymmetric (AS), or 3D calculations.
Hyperelastic Materials
The materials in this section are designed to solve problems in finite strains; they are formulated within the framework of hyper elasticity formulation.
Name | ID | Description | Pσ | Pε | AS | 3M | 3D |
---|---|---|---|---|---|---|---|
Mooney | 8 | Elastic, isotropic and Ideal Rubber Elasticity | X | X | X | X | |
IdealGas | 22 | Ideal gas as hyperelastic material | X | X | X | ||
HEAnisotropic | 21 | Anisotropic, hyperelastic material | X | ||||
TaitLiquid | 27 | Newtonian luquid as hyperelastic material | X | X | X |
The table columns on the right indicate if each material can be used in plane stress (Pσ), plane strain (Pε), axisymmetric (AS), with a 3D membrane (3M), or 3D calculations.
Elastic-Plastic Small Strain Materials
The materials in this section are all small-strain, elastic-plastic materials. They account for rotations by using a hypoelastic correction based on the Jaumann Derivative. They handle plasticity by combining one of these materials with any compatible hardening law.
Name | ID | Description | Pσ | Pε | AS | 3D |
---|---|---|---|---|---|---|
IsoPlasticity | 9 | Small-strain, isotropic, elastic-plastic material | X | X | X | X |
MGEOSMaterial | 17 | Small-strain, isotropic, elastic-plastic material using a Mie-Grüneisen equation of state. | X | X | X | X |
HillPlastic | 15 | Anisotropic, elastic-plastic material. | X | X | X |
The table columns on the right indicate if each material can be used in plane stress (Pσ), plane strain (Pε), axisymmetric (AS), or 3D calculations.
Hyperelastic-Plastic Materials
The materials in this section are formulated within the framework of hyper elasticity formulation. They can handle plasticity by combining them with any compatible Hardening Laws.
Name | ID | Description | Pσ | Pε | AS | 3D |
---|---|---|---|---|---|---|
HEIsotropic | 24 | Isotropic, hyperelastic-plastic material | X | X | X | |
HEMGEOSMaterial | 25 | Isotropic, hyperelastic-plastic material using a Mie-Grüneisen equation of state. | X | X | X |
The table columns on the right indicate if each material can be used in plane stress (Pσ), plane strain (Pε), axisymmetric (AS), or 3D calculations.
Viscoelastic Materials
The materials in this section are viscoelastic materials materials.
Name | ID | Description | Pσ | Pε | AS | 3D |
---|---|---|---|---|---|---|
Viscoelastic | 6 | Small-strain, linear viscoelastic material with sum of relaxation times | X | X | X | X |
The table columns on the right indicate if each material can be used in plane stress (Pσ), plane strain (Pε), axisymmetric (AS), or 3D calculations.
Rigid Materials
Rigid materials can be used either to apply moving velocity, temperature, or concentration boundary conditions or to interact with non-rigid material by contact mechanics.
Name | ID | Description | Pσ | Pε | AS | 3D |
---|---|---|---|---|---|---|
Rigid | 6 | A rigid material that interacts by boundary conditions or by contact | X | X | X | X |
The table columns on the right indicate if each material can be used in plane stress (Pσ), plane strain (Pε), axisymmetric (AS), or 3D calculations.
Material Class Hierarchy
Materials are C++ classes. The following class hierarchy shows the orginzation of those C++ classes in the NairnMPM source code. A material in green is an abstract class that is never assigned to particles. All others are material classes (by their name or their ID in parentheses). For those creating their own materials, they must be inserted in this hierarchy using a unique name and ID:
- MaterialBase
- Elastic
- Isotropic (1)
- IsoPlasticity (9)
- MGEOSMaterial (17)
- Bistable (10)
- IsoPlasticity (9)
- Transverse 1 (2) (2, 3)
- Orthotropic (4)
- AnisoPlasticity
- HillPlastic (15)
- WOODMATERIAL (19)
- HillPlastic (15)
- AnisoPlasticity
- Orthotropic (4)
- Isotropic (1)
- HyperElastic
- Mooney (8)
- HEIsotropic (24)
- HEMGEOSMaterial (25)
- HEAnisotropic (21)
- IdealGas (22)
- TaitLiquid (27)
- Viscoelastic (7)
- Rigid (11)
- Elastic