Difference between revisions of "Material Models"
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* 31: [[Reaction Phase Material|ReactionPhase]] | * 31: [[Reaction Phase Material|ReactionPhase]] | ||
* 32: [[JWLPlusPlus Material|JWLPlusPlus]] | * 32: [[JWLPlusPlus Material|JWLPlusPlus]] | ||
* 33: [[Mixed Mode Traction Law|MixedModeTraction]] | |||
* 35: [[Rigid Material|RigidContact]] | * 35: [[Rigid Material|RigidContact]] | ||
* 36: [[Rigid Block Material|RigidBlock]] | * 36: [[Rigid Block Material|RigidBlock]] |
Revision as of 11:07, 20 June 2020
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 (using an approximate polar decomposition of the incremental deformation and done to second order in 2D and first order in 3D).
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 finite strain (or large deformation) problems. They are formulated using hyperelasticity methods.
Name | ID | Description | Pσ | Pε | AS | 3D |
---|---|---|---|---|---|---|
Mooney | 8 | Elastic, isotropic and Ideal Rubber Elasticity | X | X | X | X |
Neohookean | 28 | Elastic and isotropic material | X | X | X | X |
IdealGas | 22 | Ideal gas as a hyperelastic material | X | X | X | |
TaitLiquid | 27 | Newtonian liquid with Tait law for pressure dependence as a hyperelastic material | X | X | X | |
JWLPlusPlus | 22 | JWL++ Detonation 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 analagous to Jaumann Derivative methods. 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 |
HillPlastic | 15 | Anisotropic, elastic-plastic material. | X | X | X | |
IsoPlasticInterface | 55 | Small-strain isotropic interface material | X | X | X | |
WoodMaterial | 19 | Anisotropic, elastic-plastic, wood 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 law.
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 | |
ClampedNeohookean | 29 | Isotropic, hyperelastic-plastic material with tensile and compression elongations clamped to critical values. | 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.
Softening Materials
The materials in this section will model material softening to emulate damage and fractures. Softening materials are only available in OSParticulas
Name | ID | Description | Pσ | Pε | AS | 3D |
---|---|---|---|---|---|---|
IsoSoftening | 50 | Small-strain isotropic material with damage and softening | X | X | X | X |
TransIsoSoftening 1 | 51 | Small-strain transversely isotropic material with damage and softening and with unrotated axial direction in the z (or θ is axisymmetric) direction | X | X | X | |
TransIsoSoftening 2 | 52 | Small-strain transversely isotropic material with damage and softening and with unrotated axial direction in the y (or z if axisymmetric) direction (not allowed in 3D) | X | X | ||
IsoPlasticSoftening | 53 | Small-strain isotropic material that combines plasticity with damage and softening | X | X | X | |
OrthoSoftening | 54 | Small-strain orthotropic material with damage and softening | 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.
Name | ID | Description | Pσ | Pε | AS | 3D |
---|---|---|---|---|---|---|
Viscoelastic | 7 | 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.
Phase Transition Materials
The materials in this section control phase transitions between two other materials.
Name | ID | Description | Pσ | Pε | AS | 3D |
---|---|---|---|---|---|---|
PhaseTransition | 30 | A first order phase transition between two materials | 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.
Membrane Materials
The materials in this section will model membranes using a path of particles in 2D or a single layer of particles in 3D. Membranes are in development and only available in OSParticulas
Name | ID | Description | 2M | 3M |
---|---|---|---|---|
MooneyMembrane | 40 | Membrane material based on a Mooney-Rivlin material | X | X |
HEAnisotropic | 21 | Anisotropic, hyperelastic material | X | X |
The table columns on the right indicate if each material can be used for a membrane in 2D calculations (2M) or in 3D calculations (3M).
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 |
---|---|---|---|---|---|---|
RigidBC | 11 | A rigid material that sets moving boundary conditions on the grid | X | X | X | X |
RigidContact | 35 | A rigid material that that interacts with other materials by contact | X | X | X | X |
RigidBlock | 36 | A rigid material that that interacts with other materials by contact and whose motion is driven by contact forces | 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)
- Bistable (10)
- IsoSoftening (50)
- IsoPlasticSoftening (53)
- IsoSofteningInterface (55)
- Transverse 1 (2) (2, 3)
- Orthotropic (4)
- AnisoPlasticity
- HillPlastic (15)
- Wood Material (19)
- HillPlastic (15)
- AnisoPlasticity
- TransIsoSoftening 1 (2) (51, 52)
- OrthoSoftening (54)
- Orthotropic (4)
- Isotropic (1)
- HyperElastic
- Mooney (8)
- MooneyMembrane (40)
- HEIsotropic (24)
- HEMGEOSMaterial (25)
- HEAnisotropic (21)
- IdealGas (22)
- TaitLiquid (27)
- Neohookean (28)
- ClampedNeohookean (29)
- ReactionPhase (31)
- JWLPlusPlus (32)
- Mooney (8)
- Viscoelastic (7)
- PhaseTransition (30)
- Rigid (11)
- RigidContact (35)
- RigidBlock (36)
- TractionLaw
- TriangularTraction (12)
- LinearTraction (14)
- TrilinearTraction (20)
- MixedModeTraction (33)
- CoupledTraction (23)
- CubicTraction (14)
- PressureTraction (26)
- TriangularTraction (12)
- ContactLaw
- IgnoreContact (60)
- CoulombFriction (61)
- AdhesiveFriction (63)
- LiquidContact (64)
- LinearInterface (62)
- NonlinearInterface (65)
- DebondingInterface (66)
- NonlinearInterface (65)
- CoulombFriction (61)
- IgnoreContact (60)
- Elastic
Material Class Ordered List
Here are the above material in numeric order by material ID:
- 1: Isotropic
- 2: Transverse 1
- 3: Transverse 2
- 4: Orthotropic
- 7: Viscoelastic
- 8: Mooney
- 9: IsoPlasticity
- 10: Bistable
- 11: Rigid
- 12: TriangularTraction (a traction law material)
- 13: LinearTraction (a traction law material)
- 14: CubicTraction (a traction law material)
- 15: HillPlastic
- 19: Wood Material
- 20: TrilinearTraction (a traction law material)
- 21: HEAnisotropic
- 22: IdealGas
- 23: CoupledTraction (a traction law material)
- 24: HEIsotropic
- 25: HEMGEOSMaterial
- 26: PressureTraction (a traction law material)
- 27: TaitLiquid
- 28: Neohookean
- 29: ClampedNeohookean
- 30: PhaseTransition
- 31: ReactionPhase
- 32: JWLPlusPlus
- 33: MixedModeTraction
- 35: RigidContact
- 36: RigidBlock
- 40: MooneyMembrane
- 50: IsoSoftening
- 51: TransIsoSoftening 1
- 52: TransIsoSoftening 2
- 53: IsoPlasticSoftening
- 54: OrthoSoftening
- 55: IsoPlasticInterface
- 60: IgnoreContact (a contact law material)
- 61: CoulombFriction (a contact law material)
- 63: AdhesiveFriction (a contact law material)
- 64: LiquidContact (a contact law material)
- 62: LinearInterface (a contact law material)
- 65: NonlinearInterface (a contact law material)
- 66: DebondingInterface (a contact law material)