Young modulus regression window calculator

Calculate fitted Young modulus and stress intercept with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use fitted Young modulus and stress intercept to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Selected elastic-window strains (fraction)
0,0.001,0.002
Selected elastic-window stresses (MPa)
1,201,400
Fitted Young modulus (MPa)
199,500
Stress intercept (MPa)
1.166667
Stress residuals (JSON)
[-0.166666666667,0.333333333333,-0.166666666667]

Try another scenario

Selected elastic-window strains (fraction)
[0, 1.001, 0.002]
Selected elastic-window stresses (MPa)
[1, 201, 400]
Fitted Young modulus (MPa)
1.098497
Stress intercept (MPa)
200.299403
Stress residuals (JSON)
[-199.299402602,-0.398997803007,199.698400405]
Calculation method

Calculation method

Fitted Young modulus (MPa)

Least-squares stress-versus-strain line over the supplied elastic window; user selects the physically valid window.

Stress intercept (MPa)

Least-squares stress-versus-strain line over the supplied elastic window; user selects the physically valid window.

Stress residuals (JSON)

Least-squares stress-versus-strain line over the supplied elastic window; user selects the physically valid window.

Symbols and units
a
Selected elastic-window strains (fraction)
b
Selected elastic-window stresses (MPa)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Least-squares stress-versus-strain line over the supplied elastic window; user selects the physically valid window. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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