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.
Description
An ideal Bingham material needs stress above a yield threshold before shearing.
An ideal Bingham material needs stress above a yield threshold before shearing. Negligible yield relative to applied stress permits a caller-defined Newtonian approximation.
Screen caller negligible-yield approximation and ideal Bingham shear at applied stress; unyielded states return zero modeled shear, not a flow-safety determination.
When to use Newtonian Yield Stress Regime Checker
Use this tool to screen caller negligible-yield approximation and ideal Bingham shear at applied stress; unyielded states return zero modeled shear, not a flow-safety determination.
Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
How to use Newtonian Yield Stress Regime Checker and understand its results
- Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
- Enter appliedShearStressPa, callerYieldStressPa, plasticViscosityPaSeconds, callerNegligibleYieldFraction using the field table and calculation rules, then run the tool.
- Read binghamShearRatePerSecond, yieldStressFractionOfApplied, callerNewtonianApproximationAcceptable. 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 |
|---|---|---|---|
| appliedShearStressPa | Applied shear stress Pa | number | Required |
| callerYieldStressPa | Caller yield stress Pa | number | Required |
| plasticViscosityPaSeconds | Plastic viscosity Pa seconds | number | Required |
| callerNegligibleYieldFraction | Caller negligible yield fraction | number | Required |
Supply positive applied stress and viscosity, nonnegative yield stress and a negligible-yield fraction in [0,1]. Return the shear rate and yield/applied ratio; the approximation flag includes equality at the caller limit.1
shear rate = max(0,applied stress − yield stress)/plastic viscosity Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| binghamShearRatePerSecond | Bingham shear rate per second | number |
| yieldStressFractionOfApplied | Yield stress fraction of applied | number |
| callerNewtonianApproximationAcceptable | Caller newtonian approximation acceptable | boolean |
{
"input": {
"appliedShearStressPa": 20,
"callerYieldStressPa": 10,
"plasticViscosityPaSeconds": 2,
"callerNegligibleYieldFraction": 0.1
},
"output": {
"binghamShearRatePerSecond": 5,
"yieldStressFractionOfApplied": 0.5,
"callerNewtonianApproximationAcceptable": false
}
}Limitations and assumptions
Ideal rheology is assumed; unyielded zero shear is a model result, not a safety conclusion.
Numbers and computed results must be finite; overflow produces an error. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.
Alternative or Complementary methods
Use 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. For a complementary task, use Crystal Content Viscosity Correction: Apply caller Krieger–Dougherty suspension correction below packing to independently supplied melt viscosity; distinct from existing Arrhenius melt-viscosity calculation, not a yield-stress or crystal-shape universal model.
References
-
Newtonian Yield Stress Regime Checker — tool.io
Similar or alternative tools
- 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.
- Crystal Content Viscosity Correction
Apply caller Krieger–Dougherty suspension correction below packing to independently supplied melt viscosity; distinct from existing Arrhenius melt-viscosity calculation, not a yield-stress or crystal-shape universal model.