Mean stress effects in stress-life fatigue and the Walker equation

• Published in: Fatigue & fracture of engineering materials & structures Vol. 32; no. 3; pp. 163 - 179
• Main Authors: DOWLING, N. E., CALHOUN, C. A., ARCARI, A.
• Format: Journal Article
• Language: English
• Published: Oxford, UK Blackwell Publishing Ltd 01.03.2009; Blackwell; Wiley Subscription Services, Inc
• Subjects: Alloys; Applied sciences; Exact sciences and technology; Fatigue; Fatigue life; fatigue of materials; Fracture mechanics; Goodman equation; mean stress effect; Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology; Metals. Metallurgy; Morrow equation; Smith-Watson-Topper equation; Steel; Stress analysis; stress-life curve; Walker equation; Mean stress; Morrow equation; mean stress effect; Smith-Watson-Topper equation; Mechanical properties; Fatigue; fatigue of materials; Goodman equation; stress-life curve; Walker equation
• ISSN: 8756-758X; 1460-2695
• DOI: 10.1111/j.1460-2695.2008.01322.x

ABSTRACT Mean stress effects in finite‐life fatigue are studied for a number of sets of experimental data for steels, aluminium alloys and one titanium alloy. Specifically, the agreement with these data is examined for the Goodman, Morrow, Smith–Watson–Topper and Walker equations. The Goodman relationship is found to be highly inaccurate. Reasonable accuracy is provided by the Morrow and by the Smith–Watson–Topper equations. But the Morrow method should not be used for aluminium alloys unless the true fracture strength is employed, instead of the more usual use of the stress‐life intercept constant. The Walker equation with its adjustable fitting parameter γ gives superior results. For steels, γ is found to correlate with the ultimate tensile strength, and a linear relationship permits γ to be estimated for cases where non‐zero mean stress data are not available. Relatively high‐strength aluminium alloys have γ≈ 0.5, which corresponds with the SWT method, but higher values of γ apply for relatively low‐strength aluminium alloys. For both steels and aluminium alloys, there is a trend of decreasing γ with increasing strength, indicating an increasing sensitivity to mean stress.