Bingham Yield Strength Lava

Infer Bingham yield intercept and plastic viscosity from measured yielded shear pairs; negative intercept or nonpositive slope is rejected instead of asserting a physical yield law.

Description

Bingham rheometry models stress as a yield intercept plus a viscosity-dependent shear term.

Bingham rheometry models stress as a yield intercept plus a viscosity-dependent shear term. Fitting yielded samples estimates those two parameters.

Infer Bingham yield intercept and plastic viscosity from measured yielded shear pairs; negative intercept or nonpositive slope is rejected instead of asserting a physical yield law.

When to use Bingham Yield Strength Lava

Use this tool to infer Bingham yield intercept and plastic viscosity from measured yielded shear pairs; negative intercept or nonpositive slope is rejected instead of asserting a physical yield law.

Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.

How to use Bingham Yield Strength Lava and understand its results

Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
Enter measuredShearRatesPerSecond, measuredShearStressesPa using the field table and calculation rules, then run the tool.
Read inferredYieldStressPa, inferredPlasticViscosityPaSeconds, fitRSquared. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
measuredShearRatesPerSecond	Measured shear rates per second	list of number	Required
measuredShearStressesPa	Measured shear stresses Pa	list of number	Required

Use aligned positive shear rates and nonnegative stresses. Fit ordinary least squares, require nonnegative intercept and positive slope, and return intercept, slope and R².^[1]

The least-squares fit needs at least two aligned observations and a varying independent variable; a constant dependent variable has reported R² of 1.

stress = yield intercept + plastic viscosity × shear rate

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
inferredYieldStressPa	Inferred yield stress Pa	number
inferredPlasticViscosityPaSeconds	Inferred plastic viscosity Pa seconds	number
fitRSquared	Fit r squared	number

json

{
  "input": {
    "measuredShearRatesPerSecond": [
      1,
      2,
      3
    ],
    "measuredShearStressesPa": [
      12,
      14,
      16
    ]
  },
  "output": {
    "inferredYieldStressPa": 10,
    "inferredPlasticViscosityPaSeconds": 2,
    "fitRSquared": 1
  }
}

Limitations and assumptions

A fit does not establish a universal lava law; negative yield intercepts are rejected rather than clipped.

Numbers and computed results must be finite; overflow produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Newtonian Yield Stress Regime Checker: Screen caller negligible-yield approximation and ideal Bingham shear at applied stress; unyielded states return zero modeled shear, not a flow-safety determination. For a complementary task, use Channel Levee Height Estimate: Compare observed levee height to an ideal yield/gravitational slab scale; not a channel-capacity or overflow forecast, and rheometry-based yield inference is a separate tool.

References

Bingham Yield Strength Lava — tool.io

Similar or alternative tools

Newtonian Yield Stress Regime Checker
Screen caller negligible-yield approximation and ideal Bingham shear at applied stress; unyielded states return zero modeled shear, not a flow-safety determination.
Channel Levee Height Estimate
Compare observed levee height to an ideal yield/gravitational slab scale; not a channel-capacity or overflow forecast, and rheometry-based yield inference is a separate tool.