MODIFIED HOCKET SHERBY EXTRAPOLATION¶
Extrapolates a true stress–true strain curve beyond the measured range using the Modified Hockett–Sherby hardening law: σ = A − (A − B)·exp(−C·εⁿ) + D·ε. Supply the five model parameters (A, B, C, H, D) along with the target end strain and step increment to generate a smooth extrapolated flow curve.
When to use¶
Classification: process.
Tagged: curve-fitting, extrapolation, flow-curve, hardening-law, hockett-sherby, material-model, modified-hockett-sherby, stress-strain.
Inputs¶
| Label | ID | Type | Default | Required | Description |
|---|---|---|---|---|---|
| Curve In | curve_in | vector | — | Input true stress–true strain curve (vector of [strain, stress] pairs) whose measured range will be extended; optional if all model parameters are provided directly. | |
| A | a | scalar | 0.0 | Saturation stress parameter A (MPa) — the upper asymptote of the Modified Hockett–Sherby flow stress; defaults to 0.0. | |
| B | b | scalar | 0.0 | Initial yield-like stress parameter B (MPa) — sets the stress level at zero strain in the model; defaults to 0.0. | |
| C | c | scalar | 0.0 | Rate parameter C (dimensionless) — controls how quickly the flow stress saturates with increasing strain; defaults to 0.0. | |
| H | h | scalar | 0.0 | Exponent parameter H (dimensionless) — governs the shape (curvature) of the hardening transition in the exponential term; defaults to 0.0. | |
| D | d | scalar | 0.0 | Linear hardening coefficient D (MPa) — adds a linear strain-hardening contribution on top of the saturating term; defaults to 0.0. | |
| Last Strain | last_strain | scalar | 1.0 | Maximum true plastic strain to which the curve is extrapolated (dimensionless); defaults to 1.0. | |
| Increment | increment | scalar | 0.001 | Strain step size used to generate discrete points along the extrapolated curve (dimensionless); defaults to 0.001 — reduce for smoother output or increase for faster computation. |
Outputs¶
| Label | ID | Type | Description |
|---|---|---|---|
| curve_effective_modified_hocket_sherby_output_1 | curve_effective_modified_hocket_sherby_output_1 | vector | Extrapolated true stress–true strain curve (vector of [strain, stress] pairs) evaluated from the input range up to Last Strain at the specified increment using the Modified Hockett–Sherby model. |
Disciplines¶
- data.curve.transform
- engineering.material.calibration
- engineering.material.characterization
Runnable example¶
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