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

Computes effective variance-based scale factors for a quasi-static stress–strain curve by deriving min/max deviation scales at the yield, ultimate, and failure stress points. Given user-supplied fractional tolerances for each stress/strain landmark and the elastic modulus slope, it returns a key-value set of scale parameters suitable for downstream material scatter or stochastic analysis.

When to use

Classification: process.

Tagged: effective_stress_strain, failure_stress, material_calibration, quasi_static, scatter, stochastic, ultimate_stress, variance_scales.

Inputs

Label ID Type Default Required Description
Quasi-Static Effective Stress Strain Curve quasi-static_effective_stress_strain_curve vector   The reference quasi-static effective (true) stress–strain curve (vector of [strain, stress] pairs) from which yield, ultimate, and failure landmarks are extracted; leave unconnected only if landmark stresses are fully overridden externally.
QS Yield Stress Min qs_yield_stress_min scalar -0.05   Lower fractional tolerance on quasi-static yield stress (e.g., -0.05 = −5 %); used to define the minimum yield-stress scale factor; default −0.05.
QS Yield Stress Max qs_yield_stress_max scalar -0.05   Upper fractional tolerance on quasi-static yield stress (e.g., +0.05 = +5 %); used to define the maximum yield-stress scale factor; default −0.05 (override to a positive value in practice).
QS Ultimate Stress Min qs_ultimate_stress_min scalar -0.05   Lower fractional tolerance on quasi-static ultimate (UTS) stress; sets the minimum UTS scale factor; default −0.05.
QS Ultimate Stress Max qs_ultimate_stress_max scalar -0.05   Upper fractional tolerance on quasi-static ultimate (UTS) stress; sets the maximum UTS scale factor; default −0.05 (override to a positive value in practice).
QS Elongation Strain Min qs_elongation_strain_min scalar -0.05   Lower fractional tolerance on quasi-static elongation (failure) strain; sets the minimum failure-strain scale factor; default −0.05.
QS Elongation Strain Max qs_elongation_strain_max scalar -0.05   Upper fractional tolerance on quasi-static elongation (failure) strain; sets the maximum failure-strain scale factor; default −0.05 (override to a positive value in practice).
Elastic Modulus elastic_modulus scalar 210   Young’s modulus (GPa) of the material, used to compute the elastic slope when projecting scale deviations back onto the curve; default 210 GPa (steel).
Yield Offset yield_offset scalar 0.002    

Outputs

Label ID Type Description
curve_eff_variance_scales_output_1 curve_eff_variance_scales_output_1 keyvalue Key-value list of computed variance scale factors (one entry per landmark × bound combination, e.g., ‘yield_min’, ‘yield_max’, ‘ultimate_min’, ‘ultimate_max’, ‘failure_min’, ‘failure_max’), expressed as dimensionless multipliers ready for use in stochastic or scatter-band workflows.

Disciplines

  • data.curve.transform
  • design_exploration.reliability
  • engineering.material.calibration
  • engineering.material.characterization

Runnable example

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