COMPUTE SCALES USING THE STANDARD VARIANCE OF YIELD, ULTIMATE AND FAILURE STRESS

Computes stress-scaling factors from the standard variance of quasi-static yield, ultimate, and failure stress bounds relative to a reference engineering stress–strain curve. Given min/max ranges for each stress milestone and optional elastic modulus and yield offset, it returns a key-value set of deviation scales suitable for downstream material calibration or scatter analysis.

When to use

Classification: process.

Tagged: curve_transformation, deviation, engineering_stress_strain, failure_stress, material_scatter, quasi_static, scatter, ultimate_stress.

Inputs

Label ID Type Default Required Description
Quasi-Static Eng Stress Strain Curve quasi-static_eng_stress_strain_curve vector   Reference quasi-static engineering stress–strain curve (vector of stress-strain pairs) against which variance-based scales are computed; leave empty only if all min/max bounds fully define the scatter range.
QS Yield Stress Min qs_yield_stress_min scalar 0   Minimum quasi-static yield stress value (stress units consistent with the curve, e.g. MPa); defaults to 0 — set to the lower-bound yield stress from material data sheets.
QS Yield Stress Max qs_yield_stress_max scalar 0   Maximum quasi-static yield stress value (same units as qs_yield_stress_min); defaults to 0 — set to the upper-bound yield stress from material data sheets.
QS Ultimate Stress Min qs_ultimate_stress_min scalar 0   Minimum quasi-static ultimate tensile stress (MPa); defaults to 0 — set to the lower-bound UTS from coupon test data.
QS Ultimate Stress Max qs_ultimate_stress_max scalar 0   Maximum quasi-static ultimate tensile stress (MPa); defaults to 0 — set to the upper-bound UTS from coupon test data.
QS Elongation Strain Min qs_elongation_strain_min scalar 0   Minimum quasi-static elongation-at-failure strain (dimensionless or %); defaults to 0 — maps to the failure_min argument driving the failure-stress deviation scale.
QS Elongation Strain Max qs_elongation_strain_max scalar 0   Maximum quasi-static elongation-at-failure strain (dimensionless or %); defaults to 0 — maps to the failure_max argument driving the failure-stress deviation scale.
Elastic Modulus elastic_modulus scalar 0   Elastic (Young’s) modulus of the material (GPa or MPa, consistent with curve units); used as the slope argument to correctly locate the yield point on the stress–strain curve; defaults to 0 (auto-detected from curve slope if available).
Yield Offset yield_offset scalar 0.002    

Outputs

Label ID Type Description
curve_engstress_variance_scales_output_1 curve_engstress_variance_scales_output_1 keyvalue Key-value collection of deviation scale factors (e.g. yield_min_scale, yield_max_scale, ultimate_min_scale, …) derived from the standard variance of yield, ultimate, and failure stress bounds; consumed by material calibration or DOE scatter workers.

Disciplines

  • data.curve.transform
  • data.statistics
  • engineering.material.calibration
  • engineering.material.characterization

Runnable example

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