EngiRef / Materials Engineering Formula

Miner's Rule (Cumulative Damage)

Miner's Rule (Cumulative Damage): Linear damage accumulation rule. A Fatigue formula in materials engineering. Variables nᵢ and Nᵢ, each with SI and imperial…

Fatigue

Specification

Name
Miner's Rule (Cumulative Damage)
Discipline
materials
Category
Fatigue
LaTeX
\sum \frac{n_i}{N_i} = 1
Description
Linear damage accumulation rule
Conditions
Order-independent; assumes no interaction effects
Can solve for
nᵢ, Nᵢ
Tags
miner, cumulative, damage, fatigue, rule

Variables

Variables for Miner's Rule (Cumulative Damage)
SymbolNameUnitSi Unit
nᵢCycles at Stress Level i - -
NᵢCycles to Failure at Level i - -

Common questions

What is the Miner's Rule (Cumulative Damage) formula?
Linear damage accumulation rule. It sits under Fatigue, Materials engineering in the EngiRef reference.
What do the symbols in the Miner's Rule (Cumulative Damage) formula mean?
In Miner's Rule (Cumulative Damage), nᵢ is cycles at stress level i; Nᵢ is cycles to failure at level i.
When does the Miner's Rule (Cumulative Damage) formula apply?
Miner's Rule (Cumulative Damage) holds under this condition: Order-independent; assumes no interaction effects.