COMPUTE MATH VALUE TO VERIFY THERMODYNAMIC STABILITY¶
Verifies thermodynamic (elastic) stability of an isotropic material by checking the consistency constraints among Young’s modulus, shear modulus, and Poisson’s ratio. Use this worker to validate that a material’s elastic constants satisfy the necessary stability conditions before passing them to a solver or material card.
When to use¶
Classification: process.
Tagged: elastic_stability, isotropic, material_constants, math, poissons_ratio, shear_modulus, stability_check, thermodynamic_stability.
Inputs¶
| Label | ID | Type | Default | Required | Description |
|---|---|---|---|---|---|
| youngs_modulus | youngs_modulus | scalar | 210 | ✓ | Young’s modulus of the material in GPa (default 210 GPa for steel); must be positive and consistent with the supplied shear modulus and Poisson’s ratio for the stability check to pass. |
| shear_modulus | shear_modulus | float | 80 | ✓ | Shear modulus of the material in GPa (default 80 GPa for steel); used together with Young’s modulus and Poisson’s ratio to verify the elastic stability relation G = E / (2(1+ν)). |
| poissons_ratio | poissons_ratio | float | 0.3 | ✓ | Dimensionless Poisson’s ratio of the material (default 0.3); must satisfy −1 < ν < 0.5 for a thermodynamically stable isotropic solid. |
Outputs¶
| Label | ID | Type | Description |
|---|---|---|---|
| math_verify_thermodynamic_stability_output_1 | math_verify_thermodynamic_stability_output_1 | scalar | Scalar result of the thermodynamic stability verification — typically a numeric consistency metric or pass/fail indicator (e.g., residual of G − E/(2(1+ν))); a value near zero indicates the elastic constants are mutually consistent and thermodynamically stable. |
Disciplines¶
- 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=math_verify_thermodynamic_stability
Auto-generated from transformation schema. Worker id: math_verify_thermodynamic_stability. Schema hash: 33289d5c9cba. Hand-curated docs in workerexamples/ override this page when present.