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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 article, the fatigue growth of cracks in two-dimensional bodies is considered based upon Paris' equation and new enriched weight functions are introduced in the meshless method formulation to capture the singularity at the crack tip.
Abstract: The meshless method is particularly appropriate to solve crack propagation problems. In this paper, the fatigue growth of cracks in two-dimensional bodies is considered. The analysis is based upon Paris' equation. New enriched weight functions are introduced in the meshless method formulation to capture the singularity at the crack tip. Simple problems show the accuracy and efficiency of this method. Then, it is applied to fatigue analysis of single- and multi-cracked bodies under mixed-mode conditions. Copyright © 2004 John Wiley & Sons, Ltd.

140 citations

Journal ArticleDOI
TL;DR: In this paper, the role of longitudinal residual stress on propagation of fatigue cracks was examined in friction stir welds produced in 2024-T351 aluminum alloy and it was found that residual stresses correspond to low crack growth rates outside the weld zone during fatigue loading.

139 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigated the influence of a preferred crystallographic orientation on mechanical properties of textured Ti-6Al-4V material and found that high cycle fatigue and fatigue crack growth were performed in vacuum, laboratory air, and a 3.5 pct NaCl solution.
Abstract: Tensile properties, high cycle fatigue strength, and fatigue crack propagation behavior were evaluated on highly textured Ti-6Al-4V material to investigate the influence of a preferred crystallographic orientation on mechanical properties. Thermomechanical treatments were used to develop three different textures: a basal, basal/transverse, and transverse type, all of which exhibited the same homogeneously equiaxed microstructure. The Young’s modulus was found to vary between 107 and 126 GNm-2, and yield strength changed from 1055 to 1170 MNm-2. Ductility was only slightly affected by texture. High cycle fatigue and fatigue crack growth measurements were performed in vacuum, laboratory air, and a 3.5 pct NaCl solution. It is shown that laboratory air can be regarded as a quite corrosive environment. In vacuum the highest fatigue strength values were measured whenever loads were perpendicular to basal planes. However, these conditions had the highest susceptibilities to air and 3.5 pct NaCl solution environments. Nearly no influence of texture on fatigue crack propagation was found in vacuum, but in a corrosive environment crack growth parallel to (0002)-planes was much faster than perpendicular to these planes. To explain the corrosive effect on the fatigue properties of the textured material hydrogen is thought to play a key role.

139 citations

Journal ArticleDOI
TL;DR: In this article, a critical review of crack growth mechanisms, mainly for large fatigue cracks subject to constant temperature, is presented, and the factors limiting a deeper understanding of fatigue crack growth are also clearly defined.
Abstract: Fatigue crack growth has been studied using several new experimental tools in the past ten years. The observation of fatigue cracks during growth under high resolution conditions has shown that crack advance is an intermittent process. These results, when combined with measurements of crack opening, displacements, crack closure, crack tip strains, fractography, and other information, leads to a reasonable understanding of many intrinsic aspects of fatigue crack growth at ambient temperature in a number of metallic alloys. Models of fatigue crack growth are reviewed from the perspective of this understanding. No model has achieved the capability of predicting fatigue crack growth from a description of microstructural and mechanical properties. The factors limiting a deeper understanding of fatigue crack growth are also more clearly defined, which gives some direction for future research. This paper is a critical review of crack growth mechanisms, mainly for large fatigue cracks subject to constant ...

138 citations

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the fatigue behavior of as-cast and extruded AZ61 magnesium alloys in ambient air (20°C-55%RH) and found that the casting defects served as stress concentration sites for fatigue crack nucleation.

137 citations


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