Supported Built-In Material Models

Material Models Available in Analytical Execution Mode

The following material models are available in analytical execution mode:

Hyperelasticity only
Hyperelasticity with linear viscoelasticity, including temperature-time shift, Mullins effect, or both.
Hyperfoam only
Hyperfoam with Mullins effect

Material Models Available in Numerical and FE Execution Modes

The following material models are available in numerical and FE execution modes:

Chaboche model for rate-dependent linear elasticity
Crushable foam (including rate-dependence plasticity)
Drucker-Prager plasticity (with or without creep)
Linear elasticity only
Linear elasticity with plasticity (including rate-dependent plasticity, fiber reinforcement, or both), with creep, or with both plasticity and creep. Isotropic tabular plasticity supports linear extrapolation.
Linear elasticity with linear viscoelasticity, including temperature-time shift
Orthotropic and anisotropic elasticity
Quadratic anisotropic yield for Drucker Prager, creep, crushable foam, and Two-layer viscoplastic.
Hyperelasticity only
Hyperelasticity with linear viscoelasticity (including temperature-time shift), with Mullins effect, or with both linear viscoelasticity and Mullins effect
Hyperelasticity with plasticity (including rate-dependent plasticity), with Mullins effect, or with both plasticity and Mullins effect
Hyperfoam only
Hyperfoam with linear viscoelasticity, including temperature-time shift
Hyperfoam with Mullins effect
Hyperelasticity with both viscoelasticity and Mullins effect
Hyperelasticity with one or more of the following:
- Networks of nonlinear viscoelasticity, including temperature-time shift
- Plasticity (including rate-dependent plasticity)
- Mullins effect (Parallel Rheological Framework)
Two-layer viscoplastic
User-defined materials (see About User Subroutines)

Material Models Only Available in FE Execution Mode

The following material models are available in numerical and FE execution modes:

Hosford-Coulomb damage initiation with linear elasticity with plasticity.
Hosford-Coulomb damage initiation and evolution with linear elasticity with plasticity.

Empirical Hardening Laws Saved as Tabular Plasticity

The plastic hardening options for linear elasticity include a set of common empirical hardening laws for numerical and FE-based calibrations that the app calibrates using the empirical material constants but saves as tabular plasticity. The available hardening formulas include Ludwik, Swift, Voce, and Swift-Voce. When applicable, empirical hardening laws are usually simpler to calibrate than tabular plasticity because there are fewer material constants.

Ludwik: $σ_{L} ({\bar{ε}}_{p}) = σ_{Y O} + B {\bar{ε}}_{p}^{n}$ . The variables that the app can calibrate are the yield stress $σ_{Y O}$ , and material constants $B$ and $n$ .
Swift law: $σ_{S} ({\bar{ε}}_{p}) = A {({ε_{0} + \bar{ε}}_{p})}^{n}$ . The variables that the app can calibrate are the strain shift $ε_{O}$ , and material constants $A$ and $n$ .
Voce law: $σ_{V} ({\bar{ε}}_{p}) = σ_{Y 0} + Q (1 - \exp (- β {\bar{ε}}_{p}))$ . The variables that the app can calibrate are the yield stress $σ_{Y O}$ , and material constants $Q$ and $β$ .
Swift-Voce law: $σ_{S V} ({\bar{ε}}_{p}) = α σ_{S} ({\bar{ε}}_{p}) + (1 - α) σ_{V} ({\bar{ε}}_{p})$ . The variables that the app can calibrate are the yield stress $σ_{Y O}$ , strain shift $ε_{O}$ , and material constants $α$ , $A$ , $n$ , $Q$ , and $β$ .