Abstract

Fatigue design of engineering structures is typically based on lifetime calculation using a cumulative damage law. The linear damage rule by Miner is the universal standard for fatigue design even though numerous experimental studies have shown its deficiencies and possible non-conservative outcomes. In an effort to overcome these deficiencies, many nonlinear cumulative damage models and life prediction models have been developed since; however, none of them have found wide acceptance. This review article aims to provide a comprehensive overview of the state-of-the art in cumulative damage and lifetime prediction models for endurance based high-cycle fatigue design of metal structures.

Highlights

  • The concept of cumulative fatigue damage calculation dates back to the 1920s when the idea of linear fatigue damage accumulation was first published by [1]

  • The aim of this paper is to present a comprehensive review of nonlinear fatigue damage accumulation models primarily published after 1998 to extend the work of Fatemi and Yang [7]

  • The authors do not claim that this review is exhaustive, but it does provide a comprehensive overview of the state-of-the-art. It is evident from the previous sections that a very large number of fatigue damage accumulation models is available in literature and that more are being published each year

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Summary

Introduction

The concept of cumulative fatigue damage calculation dates back to the 1920s when the idea of linear fatigue damage accumulation was first published by [1]. It has been shown that both methods tend to be non-conservative in most variable amplitude experiments (e.g., Sonsino et al [10], Sonsino et al [11], and Schoenborn et al [12]) To overcome this, He et al [13] proposed the cumulative fatigue damage saturated model in which a critical number of cycles of below the fatigue limit in one block exists. Liu et al [14] proposed a modified Miner damage accumulation algorithm for both pure and corrosion fatigue that considers load interaction effects by introducing the effective stress ratio concept Re f f from the Willenborg–Chang fracture mechanics model [15] into Miner’s rule. The aim of this paper is to present a comprehensive review of nonlinear fatigue damage accumulation models primarily published after 1998 to extend the work of Fatemi and Yang [7]. The authors do not claim this review to be exhaustive but it constitutes a representative overview of the state of the art

Historical Introduction
Models Based on the Damage Curve Approach
Nonlinear Damage Accumulation Models Based on the S–N Curve
Life Curve Modification Models
Life Curve Modification Models Based on Isodamage Lines
Models Based on Continuum Damage Mechanics
Models Based on the Nonlinear Continuum Damage Model of Chaboche
Models Based on Thermo-Mechanical Principles
Models Based on the Damage Stress Concept
Material Degradation-Based Models
Energy-Based Rules
Findings
Conclusions
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