Meaning
Linear damage accumulation cumulative fatigue hypotheses predict component operational life by summing fractional fatigue life consumed at varying stress amplitudes. Lifetime assessment under variable amplitude service spectra applies the miner rule to convert complex loading sequences into an equivalent damage index. Failure occurs when the cumulative damage fraction reaches a theoretical critical value of unity.
Formulation Logic
Operational strain cycles are categorized into discrete stress blocks with defined cycle counts using rainflow counting algorithms. Mathematical calculation via the miner rule divides the actual cycle count at a given stress level by the total cycles to failure at that same stress level. Summing these fractional ratios across all load blocks yields total cumulative fatigue damage.
Work hardening or softening effects are omitted in standard linear formulations. Damage accumulates linearly regardless of whether high stress cycles occur early or late in component service history.
Application Impact
Automotive chassis design relies on cumulative damage modeling to validate battery pack structural mounts under road vibration profiles. Predictive life calculations using the miner rule allow engineers to optimize wall thickness without performing multi-year physical endurance tests. Accelerated life testing protocols condense operational vibration spectra into equivalent high-amplitude fatigue trials.
Predictive Limit
Load sequence interactions significantly alter actual fatigue life in complex alloy structures. Material damage accumulation departs from linear predictions under the miner rule when large overload cycles induce beneficial compressive residual stresses.