HOCKET SHERBY EXTRAPOLATION¶
Extrapolates a stress–strain curve beyond its measured range using the Hockett–Sherby hardening law: σ = A − (A − B)·exp(−C·εⁿ). Given an input curve and the four model parameters (A, B, C, H), the worker generates a smooth extrapolated flow-stress curve up to a user-defined maximum strain. Use this worker to extend experimentally measured material curves for large-deformation plasticity inputs.
When to use¶
Classification: process.
Tagged: curve-fitting, extrapolation, flow-stress, hardening, hockett-sherby, mat_24, material, plasticity.
Inputs¶
| Label | ID | Type | Default | Required | Description |
|---|---|---|---|---|---|
| Curve In | curve_in | vector | — | Input stress–strain curve (vector of strain–stress pairs) to be extrapolated; if omitted the worker generates the Hockett–Sherby curve purely from the parameter set. | |
| A | a | scalar | 0.0 | Hockett–Sherby parameter A — saturated (ultimate) flow stress in the same stress units as the output curve (default 0.0; must be set to a physically meaningful value). | |
| B | b | scalar | 0.0 | Hockett–Sherby parameter B — initial flow stress at zero plastic strain in the same stress units as the output curve (default 0.0; must be set to a physically meaningful value). | |
| C | c | scalar | 0.0 | Hockett–Sherby parameter C — rate constant controlling the curvature of the hardening transition (dimensionless; default 0.0). | |
| H | h | scalar | 0.0 | Hockett–Sherby exponent H (n) — shape exponent on the plastic strain term controlling saturation speed (dimensionless; default 0.0). | |
| Last Strain | last_strain | scalar | 1.0 | Maximum plastic strain value to which the extrapolated curve is extended (dimensionless; default 1.0; increase for very large-strain forming simulations). | |
| Increment | increment | scalar | 0.001 | Strain step size used when evaluating the Hockett–Sherby formula across the extrapolation range (dimensionless; default 0.001; reduce for smoother high-resolution curves). |
Outputs¶
| Label | ID | Type | Description |
|---|---|---|---|
| curve_effective_hocket_sherby_output_1 | curve_effective_hocket_sherby_output_1 | vector | Extrapolated effective stress–strain curve (vector of strain–stress pairs) generated by evaluating the Hockett–Sherby model from the end of the input curve up to last_strain, ready for direct use as a MAT_024 plasticity curve in LS-DYNA. |
Disciplines¶
- data.curve.transform
- engineering.material.calibration
- engineering.material.characterization
Runnable example¶
A runnable example is registered for this worker. Open the example workflow on the d3VIEW canvas: /api/workflow/example?id=curve_effective_hocket_sherby
Auto-generated from transformation schema. Worker id: curve_effective_hocket_sherby. Schema hash: 1c5738503ca5. Hand-curated docs in workerexamples/ override this page when present.