Transverse Strain Rate Calculator

Compute transverse normal strain dv/dy on measured local cross-flow transect with signed compression/extension; not longitudinal du/dx, engineering shear or geodesy coordinates.

Description

Transverse normal strain is the gradient of transverse velocity along a cross-flow transect.

Transverse normal strain is the gradient of transverse velocity along a cross-flow transect. Its sign distinguishes extension and compression.^[1]

Enter aligned finite lists with at least two strictly increasing local cross-flow distances. Return interval strain/year and midpoint distances.

When to use Transverse Strain Rate Calculator

Use Transverse Strain Rate Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No longitudinal strain, engineering shear or geodesy transform is calculated.

Prepare the observed ice, snow, water or geometry measurements and explicit calibration parameters requested. Keep coordinates, datum, density and time units consistent.

How to use Transverse Strain Rate Calculator and understand its results

Prepare the observed ice, snow, water or geometry measurements and explicit calibration parameters requested. Keep coordinates, datum, density and time units consistent.
Enter crossFlowDistancesM, transverseVelocitiesMYear using the field table and calculation rules, then run the tool.
Read intervalTransverseNormalStrainRatesPerYear, intervalCenterDistancesM. 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
crossFlowDistancesM	Cross flow distances m	list of number	Required
transverseVelocitiesMYear	Transverse velocities m year	list of number	Required

Enter aligned finite lists with at least two strictly increasing local cross-flow distances. Return interval strain/year and midpoint distances.

strain[i]=(v[i+1]−v[i])/(y[i+1]−y[i])

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

Output field	Meaning	Value type
intervalTransverseNormalStrainRatesPerYear	Interval transverse normal strain rates per year	list of number
intervalCenterDistancesM	Interval center distances m	list of number

json

{
  "input": {
    "crossFlowDistancesM": [
      0,
      10,
      30
    ],
    "transverseVelocitiesMYear": [
      0,
      2,
      -2
    ]
  },
  "output": {
    "intervalTransverseNormalStrainRatesPerYear": [
      0.2,
      -0.2
    ],
    "intervalCenterDistancesM": [
      5,
      20
    ]
  }
}

Limitations and assumptions

No longitudinal strain, engineering shear or geodesy transform is calculated.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Surge Front Advance Rate Calculator: A surge-activation front is a tracked threshold location. Its motion differs from the velocity of individual ice particles. For a complementary task, use Enhancement Factor Soft Ice Calculator: Observed strain relative to an unenhanced model yields an apparent softening factor. Model errors can contribute to that factor.

References

Transverse Strain Rate Calculator — tool.io

Similar or alternative tools

Surge Front Advance Rate Calculator
A surge-activation front is a tracked threshold location. Its motion differs from the velocity of individual ice particles.
Enhancement Factor Soft Ice Calculator
Observed strain relative to an unenhanced model yields an apparent softening factor. Model errors can contribute to that factor.