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Paris' law

About: Paris' law is a research topic. Over the lifetime, 13815 publications have been published within this topic receiving 224818 citations. The topic is also known as: Paris-Erdogan law.


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Journal ArticleDOI
TL;DR: In this paper, the authors obtained room temperature fatigue behavior of AZ91E-T6 cast magnesium alloy and determined if commonly used models that depict fatigues behavior are applicable to this cast alloy.
Abstract: The purpose of this research was to obtain room temperature fatigue behavior of AZ91E-T6 cast magnesium alloy and to determine if commonly used models that depict fatigues behavior are applicable to this cast alloy. Axial strain-controlled fatigue behavior using cylindrical specimens were employed to determine low cycle fatigue behavior. The conventional log-log total strain low cycle fatigue model properly represented the R = [minus]1 axial fatigue data. Significant means stress relaxation occurred for all R = 0 and [minus]2 axial fatigue tests. However, for the smaller strain amplitude tests with R = 0, sufficient mean stresses were retained such that fatigue life was reduced. The mean strains/stresses had little influence on the cyclic stress-strain curve which exhibited cyclic strain hardening. Mean stress effects were analyzed using the Morrow, SWT and Lorenzo-Laird models and similar, but oftentimes nonconservative, calculations resulting. Region 1 and 2 fatigue crack growth behavior was determined using C(T) specimens with load ratios R = P[sub min]/P[sub max] = 0.05 and 0.5. The commonly used low cycle fatigue and fatigue crack growth models appear to reasonably represent most of the results with this AZ91E-T6 cast magnesium alloy.

66 citations

Journal ArticleDOI
TL;DR: In this article, the authors derived the da/dN-ΔK curves for small cracks from lifetimes under cyclic load, based on a method usually applied to subcritical crack growth.
Abstract: Crack-growth relations under cyclic fatigue conditions are mostly determined for long cracks. In order to determine da/dN-ΔK curves for small cracks from lifetimes under cyclic load a procedure has been derived which is based on a method usually applied to subcritical crack growth. To prove the cyclic effect and to demonstrate the procedure in detail, measurements were carried out on an Al2O3-ceramic in bending with anR-ratio ofR=−1 and two types of relatively small cracks, namely natural cracks and Knoop-cracks. It was found that both crack types exhibit the same da/dN-ΔK relation. The exponent of the Paris law for fatigue crack growth is significantly different from the exponent of the power law for subcritical crack growth.

66 citations

Journal ArticleDOI
TL;DR: In this article, high fidelity measurements of constituent particle or corrosion topography nucleated fatigue crack growth rates (da/dN) are established for 7075-T651 in humid air.

66 citations

Journal ArticleDOI
TL;DR: In this paper, a new methodology is described for in situ characterization of fatigue damage accumulation using nonlinear ultrasonic measurements via analysis of the feedback signal of a closed-loop ultrasonic fatigue system.

66 citations

Journal ArticleDOI
TL;DR: In this article, a general, dislocation-based fracture mechanics approach is presented to predict the growth rate of small fatigue cracks in metallic materials, and the applicability of the model to the small fatigue crack growth behavior of four engineering alloys was examined.

66 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023181
2022431
2021397
2020408
2019454
2018452