journal article·2025-09-25Open access

On Relation Between Fatigue Limit ΔσFL and Threshold ΔKth

Daniel Kujawski, Asuri K. Vasudevan

Applied Sciences· Volume 15· Issue 19

Abstract

Under cyclic loading, fatigue limits ΔσFL and fatigue crack growth (FCG) thresholds ΔΚth are usually examined using the S-N (or ε-N) and FCG da/dN-ΔK approaches, respectively. Historically, these two approaches are treated as a separate domain. This separation was due to the recognition that the nonuniform local stress field ahead of a crack differs significantly from the uniform stress field in a smooth specimen under axial fatigue loading. At present, there are no reliable approaches to analyzing these two regions in a unified way. In this paper, we first attempt to relate the experimental results of a cracked sample in the near-threshold region to the S-N fatigue limit of a smooth pull-push specimen. Then establish analytically the local stress intensity factor range ΔK at the process/damage zone ahead of the crack utilizing the local stress equal to ΔσFL in a smooth specimen. Doing such an analysis, we can account the variations between the applied and the local stress ratios R (=min stress/max stress) for both cracked and smooth samples. The proposed relationship between ΔKth and ΔσFL would enable the development of a unified framework for fatigue analysis methods to predict damage evolution under low-stress in-service loading conditions.
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Research context

OpenAlex topics: Fatigue and fracture mechanics · Structural Health Monitoring Techniques · Engineering Applied Research

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Mechanical and Aerospace Engineering, Western Michigan University, Kalamazoo, MI 49008, USA

Technical Data Analysis, Inc., Falls Church, VA 22043, USA

Funding

Office of Naval Research

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