Abstract: Firstly,
constant amplitude P–Sa–Sm–Nc
surface family is established. Secondly, four basic
assumptions, i.e., monotonically increasing, non-coupling,
separability and nonintersecting of fatigue damage accumulation
are proposed from the viewpoint of both damage mechanics and
fracture mechanics. Then the individual isodamage D–Sa–Sm–N
surface under constant amplitude loading is constructed and the
two-dimensional individual Miner’s rule is derived.
Consequently, the two-dimensional probabilistic Miner’s rule (TPMiner)
is established and proved for a population subjected to variable
amplitude loading. Finally, with successfully experiment
verification, TPMiner proves be to very useful and feasible in
fatigue reliability theory.
Key words:
Random fatigue damage accumulation Constant amplitude P–Sa–Sm–Nc
surface family
Variable amplitude loading Two-dimensional probabilistic
Miner’s rule
*
This project is supported by National Natural Science Foundation of China (No.59605010, No.59979015). Selected from Proceedings of
2000 the First International Conference on Mechanical Engineering;
revised manuscript November 12, 2001
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