Meaning
Linear damage summation benchmarks assume equal damage accumulation per cycle regardless of stress application order. Discrepancies known as Miner’s rule failure occur when mechanical components fracture at cumulative damage fractions significantly above or below unity. Linear damage hypothesis models fail because they ignore load sequence effects and stress interaction phenomena during variable amplitude loading.
The concept applies to cumulative fatigue damage predictions in structural battery frames, ending where constant amplitude stress eliminates load sequence dependence.
Sequence Effect
Stress history determines the rate of micro-crack initiation and growth. Under high-to-low stress sequences, Miner’s rule failure manifests because initial high-stress cycles generate residual tensile fields and micro-cracks that accelerate subsequent low-stress damage. Conversely, low-to-high stress sequences often yield cumulative damage fractions exceeding unity due to localized strain hardening.
Non-linear models replace linear summation to capture load history effects.
Life Deviation
Inaccurate fatigue predictions lead to premature structural failure or excessive over-design. Experimental fatigue tests demonstrate that Miner’s rule failure can result in actual service lifespans under half of predicted values under spectrum loading.
Assessment Modification
Modern structural verification incorporates non-linear continuum damage mechanics to refine lifespan predictions. Correcting for Miner’s rule failure requires spectrum testing and damage interaction parameters to validate structural endurance margins. Advanced fatigue analysis ensures vehicle chassis components achieve target durability specifications.