Abaqus Materials Guide

What's New

R2022x FD01 (FP.2205)

R2022x GA

Introduction

About the Material Library

Defining Materials

Available Material Behaviors

Using Material Behaviors with Various Element Types

Using Complete Material Definitions

Defining Spatially Varying Material Behavior for Homogenous Solid Continuum Elements Using Distributions in Abaqus/Standard

Material Data Definition

Material Definitions

Large-Strain Considerations

Specifying Material Data as Functions of Temperature and Independent Field Variables

Specifying Material Data as Functions of Solution-Dependent Variables

Material Failure and Element Deletion

Defining the Characteristic Element Length at a Material Point in Abaqus/Explicit

Regularizing User-Defined Data in Abaqus/Explicit

Evaluation of Strain-Rate-Dependent Data in Abaqus/Explicit

Combining Material Behaviors

Complete Material Definitions

Material Behavior Combination Tables

Density

Defining Density

Units

Elements

Elastic Mechanical Properties

Elastic Behavior

Thermal Strain

Elastic Strain Magnitude

Linear Elasticity

Linear Elastic Behavior

Defining Linear Elastic Material Behavior

Directional Dependence of Linear Elasticity

Stability of a Linear Elastic Material

Defining Isotropic Elasticity

Defining Orthotropic Elasticity by Specifying the Engineering Constants

Defining Transversely Isotropic Elasticity

Defining Orthotropic Elasticity in Plane Stress

Defining Orthotropic Elasticity in Plane Stress with Different Moduli in Tension and Compression

Defining Orthotropic Elasticity by Specifying the Terms in the Elastic Stiffness Matrix

Defining Fully Anisotropic Elasticity

Defining Orthotropic Elasticity for 1-DOF Warping Elements

Defining Elasticity in Terms of Tractions and Separations for Cohesive Elements

Defining Isotropic Shear Elasticity for Equations of State in Abaqus/Explicit

Defining the Elastic Transverse Shear Modulus

Defining the Elasticity of a Short-Fiber Reinforced Composite

Elements

References

No Compression or No Tension

Defining the Modified Elastic Behavior

Cutoff for Principal Stress Values in Abaqus/Explicit

Stability

Material Options

Elements

Plane Stress Orthotropic Failure Measures

Failure Theories

Stress-Based Failure Theories

Stress-Based Failure Measures—Failure Envelopes

Strain-Based Failure Theory

Elements

Output

Plasticity Corrections

Neuber and Glinka Plasticity Corrections

Specifying the Plastic Response

Neuber's Rule

Glinka's Rule

Plasticity Corrections in Static Perturbation Procedures

Material Options

Elements

Output

References

Elastic Behavior of Porous Materials

Logarithmic Porous Elasticity Model

Power Law–Based Porous Elasticity Model

Material Options

Elements

Hypoelastic Behavior

Defining Hypoelastic Material Behavior

Determining the Hypoelastic Material Parameters

Plane or Uniaxial Stress

Large-Displacement Analysis

Material Options

Elements

Hyperelasticity

Hyperelastic Behavior of Rubberlike Materials

Compressibility

Isotropy Assumption

Strain Energy Potentials

Thermal Expansion

Defining the Hyperelastic Material Response

Experimental Tests

Model Prediction of Material Behavior Versus Experimental Data

Elements

Procedures

Hyperelastic Behavior in Elastomeric Foams

Mechanical Behavior of Elastomeric Foams

Strain Energy Potential

Thermal Expansion

Determining the Hyperfoam Material Parameters

Experimental Tests

Difference between Compression and Tension Deformation

Model Prediction of Material Behavior Versus Experimental Data

Elements

Procedures

Anisotropic Hyperelastic Behavior

Anisotropic Hyperelasticity Formulations

Anisotropic Strain Energy Potentials

Definition of Preferred Material Directions

Compressibility

Thermal Expansion

Viscoelasticity

Stress Softening

Elements

Procedures

Output

References

Stress Softening in Elastomers

Mullins Effect

Material Behavior

Elements

Procedures

Output

References

Energy Dissipation in Elastomeric Foams

Energy Dissipation in Elastomeric Foams

Elements

Procedures

Output

Linear Viscoelasticity

Time Domain Viscoelasticity

Defining the Shear Behavior

Defining the Volumetric Behavior

Defining Viscoelastic Behavior for Traction-Separation Elasticity in Abaqus/Explicit

Temperature Effects

Numerical Implementation

Determination of Viscoelastic Material Parameters

Defining the Rate-Independent Part of the Material Response

Material Response in Different Analysis Procedures

Material Options

Elements

Output

Frequency Domain Viscoelasticity

Defining the Shear Behavior

Defining the Volumetric Behavior

Large-Strain Viscoelasticity

Determination of Viscoelastic Material Parameters

Conversion of Frequency-Dependent Elastic Moduli

Direct Specification of Storage and Loss Moduli for Large-Strain Viscoelasticity

Defining the Rate-Independent Part of the Material Behavior

Material Options

Elements

Structural Relaxation in Glass

Structural Relaxation

Tool-Narayanaswamy-Moynihan Model

Elements

Procedures

Output

References

Nonlinear Viscoelasticity

Hysteresis in Elastomers

Strain-Rate-Dependent Material Behavior for Elastomers

Defining Strain-Rate-Dependent Material Behavior for Elastomers

Elements

Output

References

Parallel Rheological Framework

Material Behavior

Defining Viscoelastic Response

Material Response in Different Analysis Steps

Elements

Output

References

Low-Density Foams

Mechanical Response

Tension Cutoff and Failure in Abaqus/Explicit

Thermal Expansion

Material Stability

Elements

Procedures

Superelasticity

Material Behavior

Defining the Elastic Constants of Austenite

Defining the Properties of Martensite and the Transformation Plateau

Shape Setting

Elements

Output

References

Inelastic Mechanical Properties

Inelastic Behavior

Plasticity Theories

Elastic Response

Stress and Strain Measures

Metal Plasticity

Classical Metal Plasticity

Yield Surfaces

Hardening

Flow Rule

Rate Dependence

Progressive Damage and Failure

Shear and Tensile Dynamic Failure in Abaqus/Explicit

Heat Generation by Plastic Work

Initial Conditions

Elements

Output

References

Models for Metals Subjected to Cyclic Loading

Yield Surfaces

Flow Rule

Hardening

Predicted Material Behavior

Usage and Calibration of the Kinematic Hardening Models

Initial Conditions

Elements

Output

Rate-Dependent Yield

Work Hardening Dependencies

Defining Hardening Dependencies for Various Material Models

Elements

Rate-Dependent Plasticity: Creep and Swelling

Creep Behavior

Volumetric Swelling Behavior

User Subroutine CREEP

Removing Creep Effects in an Analysis Step

Integration

Loading Control Using Creep Strain Rate

Elements

Output

Annealing or Melting

Effects of Annealing or Melting

Material Properties

Elements

Output

Hill Anisotropic Yield/Creep

Yield and Creep Stress Ratios

Anisotropic Yield

Anisotropic Creep

Defining Anisotropic Yield Behavior on the Basis of Strain Ratios (Lankford's r-Values)

Progressive Damage and Failure

Initial Conditions

Elements

Output

Nonquadratic Yield

Nonquadratic Yield Surfaces

Barlat Plasticity

Progressive Damage and Failure

Elements

Output

References

Johnson-Cook Plasticity

Yield Surface and Flow Rule

Johnson-Cook Hardening

Johnson-Cook Strain Rate Dependence

Johnson-Cook Dynamic Failure

Progressive Damage and Failure

Tensile Failure

Heat Generation by Plastic Work

Initial Conditions

Elements

Output

References

Dynamic Failure Models

Shear Failure Model

Tensile Failure Model

Using the Failure Models with Rebar

Elements

Output

Porous Metal Plasticity

Elastic and Plastic Behavior

Yield Condition

Flow Rule and Hardening

Void Growth and Nucleation

Initial Conditions

Elements

Output

References

Cast Iron Plasticity

Elastic and Plastic Behavior

Yield Condition

Flow Rule

Hardening

Restrictions on Material Data

Elements

Output

Two-Layer Viscoplasticity

Material Behavior

Calibration of Material Parameters

Material Response in Different Analysis Steps

Elements

Output

References

ORNL – Oak Ridge National Laboratory Constitutive Model

Usage with Plasticity

Usage with Creep

Initial Conditions

Elements

Output

Deformation Plasticity

One-Dimensional Model

Generalization to Multiaxial Stress States

Typical Applications

Elements

Other Plasticity Models

Extended Drucker-Prager Models

Yield Criteria

Hardening and Rate Dependence

Stress Invariants

Linear Drucker-Prager Model

Hyperbolic and General Exponent Models

Progressive Damage and Failure

Matching Experimental Triaxial Test Data

Matching Mohr-Coulomb Parameters to the Drucker-Prager Model

Creep Models for the Linear Drucker-Prager Model

Initial Conditions

Elements

Output

Modified Drucker-Prager/Cap Model

Yield Surface

Plastic Flow

Calibration

Abaqus/Standard Creep Model

Initial Conditions

Elements

Output

Soft Rock Plasticity Model

Yield Surface

Plastic Flow

Hardening Law

Softening Regularization

Initial Conditions

Elements

Output

References

Mohr-Coulomb Plasticity

Elastic Behavior

Plastic Behavior: Yield Criteria

Plastic Behavior: Flow Potentials

Elements

Output

References

Critical State (Clay) Plasticity Model

Yield Surface

Hardening Law

Softening Regularization

Calibration

Initial Conditions

Elements

Output

Crushable Foam Plasticity Models

Elastic and Plastic Behavior

Crushable Foam Model with Volumetric Hardening

Crushable Foam Model with Isotropic Hardening

Elements

Output

References

Fabric Material Behavior

Fabric Material Behavior

Test Data–Based Fabric Materials

User-Defined Fabric Materials

Thermal Expansion

Fabric Thickness

Defining a Reference Mesh (Initial Metric)

Defining Yarn Directions in the Reference Configuration

Picture-Frame Shear Fabric Test

Material Options

Elements

Procedures

Output

Jointed Material Model

Joint Opening/Closing

Compressive Joint Sliding

Bulk Failure

Nonassociated Flow

Elements

Concrete

Concrete Smeared Cracking

Reinforcement

Cracking

Tension Stiffening

Cracked Shear Retention

Compressive Behavior

Uniaxial and Multiaxial Behavior

Response to Strain Reversals

Calibration

Elements

Output

References

Cracking Model for Concrete

Reinforcement

Cracking

Tension Stiffening

Shear Retention Model

Calibration

Brittle Failure Criterion

Elements

Output

References

Concrete Damaged Plasticity

Mechanical Behavior

Reinforcement

Defining Tension Stiffening

Defining Compressive Behavior

Defining Damage and Stiffness Recovery

Defining Material Failure Criteria in Abaqus/Explicit

Rate Dependence

Concrete Plasticity

Material Damping

Elements

Output

References

Permanent Set in Rubberlike Materials

Material Behavior

Specifying Permanent Set

Limitations

Elements

Procedures

Output

References

Plasticity Model for Superelastic Materials

Material Behavior

Elements

Plasticity Model for Bidirectional Fabric-Reinforced Composite Materials

Shear Plasticity Behavior

Elements

Progressive Damage and Failure

About Progressive Damage and Failure

General Framework for Modeling Damage and Failure

Mesh Dependency

Damage and Failure for Ductile Metals

About Damage and Failure for Ductile Metals

Damage Initiation Criterion

Damage Evolution

Elements

Damage Initiation for Ductile Metals

Damage Initiation Criteria for Fracture of Metals

Damage Initiation Criteria for Sheet Metal Instability

Elements

Output

References

Damage Evolution and Element Removal for Ductile Metals

Damage Evolution

Defining Damage Evolution Based on Effective Plastic Displacement

Defining Damage Evolution Based on Energy Dissipated during the Damage Process

Maximum Degradation and Choice of Element Removal

Convergence Difficulties in Abaqus/Standard

Using the Damage Models with Rebar

Elements

Output

References

Damage and Failure for Fiber-Reinforced Composites

About Damage and Failure for Fiber-Reinforced Composites

Undamaged Response

Damage Initiation Criteria

Damage Evolution

Elements

References

Damage Initiation for Fiber-Reinforced Composites

Damage Initiation

Hashin Criterion

Larc05 Criterion

Ply Fabric Criterion

Elements

Output

References

Damage Evolution and Element Removal for Fiber-Reinforced Composites

Damage Evolution for the Hashin Model

Damage Evolution for the Ply Fabric Model

Maximum Degradation and Choice of Element Removal

Viscous Regularization

Material Damping

Elements

Output

References

Damage and Failure for Ductile Materials in Low-Cycle Fatigue Analysis

About Damage and Failure for Ductile Materials in Low-Cycle Fatigue Analysis

General Concepts of Damage of Ductile Materials in Low-Cycle Fatigue

Elements

References

Damage Initiation for Ductile Materials in Low-Cycle Fatigue

Damage Initiation Criteria for Ductile Materials

Elements

Output

Damage Evolution for Ductile Materials in Low-Cycle Fatigue

Damage Evolution Based on Accumulated Inelastic Hysteresis Energy Density

Maximum Degradation and Element Removal

Elements

Output

Hydrodynamic Properties

Hydrodynamic Behavior

Deviatoric Behavior

Thermal Strain

Equation of State

Energy Equation and Hugoniot Curve

Mie-Grüneisen Equations of State

Tabulated Equation of State

User-Defined Equation of State

P–alpha Equation of State

JWL High Explosive Equation of State

Ignition and Growth Equation of State

Ideal Gas Equation of State

Deviatoric Behavior

Use with the Mises or the Johnson-Cook Plasticity Models

Use with the Extended Drucker-Prager Plasticity Models

Use with the Tensile Failure Model

Adiabatic Assumption

Modeling Fluids

Elements

Output

References

Multiscale Properties

Multiscale Material Modeling

Mean-Field Homogenization

Specifying Constituent Properties for a Composite Material

Mean-Field Homogenization for Linear Elastic Composites

Incremental Mean-Field Homogenization for Nonlinear Composites

Multistep Homogenization

Specifying the Microstructure of the Composite

Composites with Thermal Expansion

Composites with Viscoelasticity

Composites with Damage

Example

Elements

Output

References

Other Material Properties

Mechanical Properties

Material Damping

Rayleigh Damping

Band-Limited Damping in an Explicit Dynamic Analysis

Structural Damping

Artificial Damping in Direct-Integration Dynamic Analysis

Artificial Damping in Explicit Dynamic Analysis

Effects of Damping on the Stable Time Increment in Abaqus/Explicit

Damping in Modal Superposition Procedures

Material Options

Elements

References

Thermal Expansion

Defining Thermal Expansion Coefficients

Computing Thermal Strains in Linear Perturbation Steps

Defining Increments of Thermal Strain in User Subroutines

Defining the Initial Temperature and Field Variable Values

Defining Directionally Dependent Thermal Expansion

Defining Thermal Expansion for a Short-Fiber Reinforced Composite

Thermal Stress

Material Options

Elements

References

Field Expansion

Defining Field Expansion Coefficients

Computing Field Expansion Strains in Linear Perturbation Steps

Defining Increments of Field Expansion Strain in User Subroutine UEXPAN

Defining the Initial Temperature and Field Variable Values

Defining Directionally Dependent Field Expansion

Field Expansion Stress

Material Options

Elements

Pore Fluid Pressure

Defining Pore Fluid Pressure

Defining Initial Values of Pore Fluid Pressure

Elements

Viscosity

Viscous Shear Behavior

Temperature Dependence of Viscosity (Abaqus/Explicit Only)

Material Options

Elements

Czone Crush Stress

CZone Crush Stress

Elements

Heat Transfer Properties

About Thermal Properties

Conductivity

Directional Dependence of Thermal Conductivity

Elements

Specific Heat

Defining Specific Heat

Elements

Latent Heat

Defining Latent Heat

Elements

Acoustic Medium

Defining an Acoustic Medium

Volumetric Drag

Porous Acoustic Material Models

Fluid Cavitation

Defining a Steady Flow Field

Elements

Output

References

Poroelastic Acoustic Medium

Frequency Response of a Poroelastic Acoustic Medium

Poroelastic Acoustic Material Behavior

Elements

Output

Mass Diffusion Properties

Diffusivity

Defining Diffusivity

Directional Dependence of Diffusivity

Temperature-Driven Mass Diffusion

Pressure Stress-Driven Mass Diffusion

Mass Diffusion Driven by Both Temperature and Pressure Stress

Specifying the Value of Absolute Zero

Elements

Solubility

Defining Solubility

Elements

Electromagnetic Properties

Electrical Conductivity

Directional Dependence of Electrical Conductivity

Frequency-Dependent Electrical Conductivity

Elements

Piezoelectric Behavior

Defining a Piezoelectric Material

Alternative Forms of the Constitutive Equations

Specifying Dielectric Material Properties

Specifying Piezoelectric Material Properties

Energy Balance Considerations

Elements

Magnetic Permeability

Linear Magnetic Behavior

Nonlinear Magnetic Behavior

Permanent Magnetization

Elements

Pore Fluid Flow Properties

About Pore Fluid Flow Properties

Thermal Expansion

Permeability

Permeability in Abaqus/Standard

Elements

Porous Bulk Moduli

Defining Porous Bulk Moduli

Specifying Field Variable Dependence for the Porous Bulk Moduli

Elements

Sorption

Sorption

Defining Absorption and Exsorption

Defining the Behavior between Absorption and Exsorption

Elements

Swelling Gel

Swelling Gel Model

Elements

Moisture Swelling

Moisture Swelling Model

Defining Volumetric Swelling Strain

Defining Initial Saturation Values

Defining Anisotropic Swelling

Elements

User Materials

User-Defined Mechanical Material Behavior

Stress Components and Strain Increments

Material Constants

Unsymmetric Equation Solver in Abaqus/Standard

Hybrid Formulation in Abaqus/Standard

Material State

Hourglass Control and Transverse Shear Stiffness

Defining the Effective Modulus to Control Time Incrementation in Abaqus/Explicit

Use with Other Subroutines

Material Options

Elements

User-Defined Thermal Material Behavior

Material Constants

Unsymmetric Equation Solver in Abaqus/Standard

Material State

Required Calculations

Use with Other User Subroutines

Material Options

Elements

User-Defined Material Properties

Defining Material Properties

Accessing Material Properties

Elements

Special-Purpose Material Modeling Techniques

Modeling the Cure Process in Thermosetting Polymers

Reaction Kinetics

Cure Heat Generation

Cure Shrinkage Strain

Mechanical Response of the Material

Solution-Dependent State Variables

Example: Defining the Cure Modeling Capabilities

Elements

Procedures

Output

References

Modeling Metallurgical Phase Transformations

Material Physical Raw-Liquid-Solid (RLS) State

Solid-Phase Transformation

Grain Morphology

Grain Size

Specifying Material Properties as Functions of Metallurgical State

Solution-Dependent State Variables

References

Parameter Table Type Reference

ABQ_Cure_HeatGeneration

Parameter Table Type Definition

Parameters

ABQ_Cure_ReactionKinetics_Kamal

Parameter Table Type Definition

Parameters

ABQ_PHASE_TRANS_Diffusional_TTT_Constants

Parameter Table Type Definition

Parameters

ABQ_PHASE_TRANS_FieldVariables

Parameter Table Type Definition

Parameters

ABQ_PHASE_TRANS_GrainSize_Definitions

Parameter Table Type Definition

Parameters

ABQ_PHASE_TRANS_Martensitic_TTT_Constants

Parameter Table Type Definition

Parameters

ABQ_PHASE_TRANS_MeltingTemperature

Parameter Table Type Definition

Parameters

ABQ_PHASE_TRANS_SolidPhases

Parameter Table Type Definition

Parameters

ABQ_PHASE_TRANS_SolidificationMap_Constants

Parameter Table Type Definition

Parameters

ABQ_PHASE_TRANS_Transformations

Parameter Table Type Definition

Parameters

Property Table Type Reference

ABQ_Cure_ReactionKinetics_MaxConversion

Property Table Type Definition

Properties

ABQ_Cure_ReactionKinetics_Tabular

Property Table Type Definition

Properties

Independent Variables

ABQ_Cure_ShrinkageCoeff_Aniso

Property Table Type Definition

Properties

ABQ_Cure_ShrinkageCoeff_Iso

Property Table Type Definition

Properties

ABQ_Cure_ShrinkageCoeff_Ortho

Property Table Type Definition

Properties

ABQ_Cure_ShrinkageCoeff_Vol

Property Table Type Definition

Properties

ABQ_PHASE_TRANS_Diffusional_JMA_Coefficients

Property Table Type Definition

Properties

ABQ_PHASE_TRANS_Diffusional_ParentEquiFrac

Property Table Type Definition

Properties

ABQ_PHASE_TRANS_Diffusional_TTT_Diagram

Property Table Type Definition

Properties

ABQ_PHASE_TRANS_GrainSize_Coefficients

Property Table Type Definition

Properties

ABQ_PHASE_TRANS_Martensitic_KM_Coefficients

Property Table Type Definition

Properties

ABQ_PHASE_TRANS_Martensitic_ParentRetainedFrac

Property Table Type Definition

Properties

Independent Variables

ABQ_PHASE_TRANS_Martensitic_TTT_Diagram

Property Table Type Definition

Properties

ABQ_PHASE_TRANS_SolidificationMap_Diagram

Property Table Type Definition

Properties

Independent Variables