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Elastomer Uniaxial Stretch Lateral Factor Tool

Ideal isotropic incompressible uniaxial deformation, with equal transverse stretches.

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Description

Return lateral contraction under incompressible uniaxial stretch.

Material and fixture mechanics depend on loading mode, geometry, reference state and constitutive assumptions. A secant modulus, Euler load or spring-energy term is a limited model contribution rather than validation of structural capacity, fatigue life or clinical device suitability.

Return lateral contraction under incompressible uniaxial stretch.

When to use this tool

Use Elastomer Uniaxial Stretch Lateral Factor when evaluating the stated benign bench mechanical or timing term.

How to use the tool and how it works

  1. Enter axialStretch, initialWidth, initialThickness. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read lateralStretch, finalWidth, finalThickness. Use the output convention below.

Return lateral contraction under incompressible uniaxial stretch. Require axialStretch > 0 and initial width/thickness >= 0; lateralStretch = 1/sqrt(axialStretch), final dimensions multiply by it.1

Input fieldMeaning and unitsAccepted input
axialStretchPositive final/initial axial length ratio, dimensionless.Required. Finite number; strictly above 0.
initialWidthInitial WidthRequired. Finite number; minimum 0.
initialThicknessInitial ThicknessRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
lateralStretchLateral StretchRequired. Finite number.
finalWidthFinal WidthRequired. Finite number.
finalThicknessFinal ThicknessRequired. Finite number.
json
{
  "input": {
    "axialStretch": 4,
    "initialWidth": 10,
    "initialThickness": 2
  },
  "output": {
    "lateralStretch": 0.5,
    "finalWidth": 5,
    "finalThickness": 1
  }
}

Limitations and assumptions

  • This assumes equal lateral stretches and volume conservation; actual compressibility, anisotropy and material response are not inferred.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use verified material properties and an appropriate complete structural/test model with qualified engineering assessment for practical loading, lifetime or device decisions.

References

  1. Calculation and input contract: bioengineering/elastomer-uniaxial-stretch-lateral-factor — tool.io

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