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MAT-41

Norton creep

Steady-state power-law creep.

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GoverningNorton creep

Governing equation

ε˙=Aσn\dot\varepsilon=A\sigma^n

sig∈[10,300]sig \in \left[10, 300\right]

where

A
A (1/s)
sig
sig (MPa)
n
n (—)
ed
Norton creep (1/s)

The figure, part by part

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MAT-41 · gauge
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①

Governing law — red

ε˙=Aσn\dot\varepsilon=A\sigma^n

sig∈[10,300]sig \in \left[10, 300\right]

sig=10sig = 10ed=1×10−11ed = 1\times 10^{-11}

②

Domain of the variable — blue

sigmin⁡=10,sigmax⁡=300sig_{\min} = 10,\quad sig_{\max} = 300

sig∈[10,300]sig \in \left[10, 300\right]

sig=10sig = 10sig=10sig = 10

③

Response curve — green

ε˙=Aσn\dot\varepsilon=A\sigma^n

sig∈[10,300]sig \in \left[10, 300\right]

sig=10sig = 10ed=1×10−11ed = 1\times 10^{-11}

④

Rate of change — amber

deddsig\frac{\mathrm{d}ed}{\mathrm{d}sig}

sig∈[10,300]sig \in \left[10, 300\right]

sig=11.82sig = 11.82ed′=1.02×10−11ed^{\prime} = 1.02\times 10^{-11}

Lecture brief

Historical brief

Hooke (1678), Hall–Petch grain size, Arrhenius activation and Paris fatigue-crack growth are the spine of materials selection. The sheets relate stress, microstructure and life. This sheet (MAT-41 — Norton creep) is the form associated with Norton creep. Working symbols: AA, sigsig, nn →\rightarrow eded. Steady-state power-law creep. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute eded from AA, sigsig, nn in Materials via ε˙=Aσn\dot\varepsilon=A\sigma^n Steady-state power-law creep. Use it when a real materials question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given A=1.000e−16 1/sA = 1.000e-16\,\mathrm{1/s}, sig=80.000 MPasig = 80.000\,\mathrm{MPa}, n=5.000 —n = 5.000\,\mathrm{—}, the governing relation ε˙=Aσn\dot\varepsilon=A\sigma^n yields ed=3.277e−7 1/sed = 3.277e-7\,\mathrm{1/s}. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Outputs

  • Norton creep ed0.000 1/s
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MAT-41 · gauge
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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Steady-state power-law creep. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube