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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, three different artificial aging treatments following solution treatment and quenching, i.e. two-step aging leading to a near peak aged condition, single-step ageing leading to the peak-aged condition, and three-step aged condition leading to an over aged condition were studied.
Abstract: The commercial Al alloy 7010, in the form of 15 mm thick plates, was subjected to three different artificial aging treatments following solution treatment and quenching, i.e. two-step aging leading to a near peak aged condition, single-step aging leading to the peak aged condition, and three-step aging leading to an over aged condition. The fatigue behavior of the resultant materials was studied. It was revealed that the fatigue crack growth rate (FCGR) of the near peak aged material is the least and that of the over aged material is the highest. The over aged material, however, exhibits a higher value of fatigue crack propagation threshold. The fatigue strength corresponding to 10 6 cycles was further compared and the results revealed that the over aged material has a fairly high value of fatigue strength as compared to the peak aged alloy. These results are discussed in terms of the differences in the microstructures developed in the materials subjected to the different aging treatments.

57 citations

Journal ArticleDOI
TL;DR: In this article, a power relation between the fatigue crack propagation rate d a/d N and the J integral range ΔJ was obtained for OFHC copper, 0.04%C steel and stainless steel (Type 304).

56 citations

Journal ArticleDOI
TL;DR: In this article, a probabilistic model for 30NiCrMoV12 steel in a low cycle fatigue (LCF) regime is presented, where the influence of specimen size on fatigue life is quantified by experiments in strain-controlled fatigue and crack propagation.
Abstract: Combining the weakest-link theory with fatigue crack growth modeling, this study presents a mechanical-probabilistic modeling of specimen size effect for 30NiCrMoV12 steel in a low cycle fatigue (LCF) regime. Particularly, the influence of specimen size on fatigue life is quantified by experiments in strain-controlled fatigue and crack propagation. Experimental results from replica tests with three geometrical specimens indicate that nearly all of its fatigue life consists of multiple surface cracking with mutual interactions and coalescences. A probabilistic procedure for multiple surface fracture simulation is then established by incorporating random processes of crack formation, propagation and coalescence between dispersed surface cracks. Moreover, an evaluation of surface damage evolution is elaborated based on statistical physics for different structural sizes/volumes, which showed good agreement between analytical life distributions and test results.

56 citations

Journal ArticleDOI
TL;DR: In this paper, a new paradigm referred to as crack tip mechanics (CTM) is proposed to represent inhomogeneity by crack-like defects as the cause of damage initiation, which can be viewed as an energy sink or source.

56 citations

Journal ArticleDOI
TL;DR: In this paper, a duplex-aging cycle was designed for Ti 38-644 (β-C). Depending on the prior processing history heat treatment parameters were adapted on the basis of microstructure studies, hardness measurements and comparative tensile tests.
Abstract: Aging of highly β-stabilized titanium alloys commonly leads to the formation of precipitate-free zones being susceptible to fatigue crack initiation. Duplex aging improves the fatigue properties of metastable β titanium alloys by enhancing a homogeneous α phase formation. In this study a duplex-aging cycle was designed for Ti 38-644 (β-C). Depending on the prior processing history heat treatment parameters were adapted on the basis of microstructure studies, hardness measurements and comparative tensile tests. The fatigue limit and fatigue crack growth threshold were determined for duplex-aged β-C. The results indicate that duplex aging promotes a homogeneously precipitated α phase providing excellent values of the fatigue limit. Surface-related fatigue crack initiation was observed. Comparing the fracture surfaces of direct- and duplex-aged β-C a transition of the tensile fracture mode from intergranular to predominantly transgranular was observed accompanied by a gain in ductility at comparable yield strengths. This was assumed to be the reason for the slightly improved fatigue crack growth behavior of duplex-aged as compared to direct-aged β-C. Along the entire heat treatment cycle the microstructure response was evaluated with regard to the particular effects on the fatigue properties. The results indicate clearly that key to success is a completely recrystallized β microstructure and the reasonably controlled aging response.

56 citations


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