By applying the cumulative fatigue damage to the random process reliability problem, and the introduction of a proposed concept of unified equivalent stress mean level in fatigue life prediction, a technical reliability model for the random process problem under fatigue failure is proposed. The technical model emphasizes efficiency in the design choice and focuses on the accuracy of the results. Based on this model, an asymptotic method for fatigue reliability under random process loading is developed. The proposed method uses the recursive iteration algorithm to achieve results which include reliability and its corresponding mission life. The method reconciles the requirement of accuracy and efficiency for the random process reliability problems under fatigue failure. The accuracy and analytical and numerical efforts required are compared. Through numerical example, the advantage of the proposed method is demonstrated.

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