A multiaxial criterion for notch high-cycle fatigue using a critical-point method

Carpinteri, Andrea; Spagnoli, Andrea; Viappiani, Danilo

doi:10.1016/j.engfracmech.2006.11.002

Cited by 72 publications

(21 citation statements)

References 28 publications

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“…When the region of the critical crack is not known in advance, the point and the average stress methods offer a significant advantage with respect to the other CDT methods, because they are easier to implement, following these steps: (1) obtain the elastic stress field; (2) select the critical regions by applying a strength criteria; and (3) apply the point or average stress method for several angles at any selected point [101][102][103]. With this procedure, it is also possible to predict the crack orientation.…”

Section: Discussion On the Cdtmentioning

confidence: 99%

Size Effect Law and Critical Distance Theories to Predict the Nominal Strength of Quasibrittle Structures

Maimí¹,

González²,

Gascons³

et al. 2013

Applied Mechanics Reviews

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The design of structures with a nonuniform stress field is of great industrial interest. The ability of the size effect law and critical distance theories to predict the nominal strength of notched and open hole specimens is analyzed in the present paper. The results obtained with these methods are compared with the solution of the problem computed, taking into account the material cohesive law. A conclusion of this paper is that the role of the critical fracture energy in determining the structural strength is negligible, except in large cracked structures. For unnotched structures of any size and for small cracked structures, the key parameter is the initial part of the softening cohesive law. This allows us to define design charts that relate the structural strength to a specimen size normalized with respect to a material characteristic length.

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Section: Discussion On the Cdtmentioning

confidence: 99%

Size Effect Law and Critical Distance Theories to Predict the Nominal Strength of Quasibrittle Structures

Maimí¹,

González²,

Gascons³

et al. 2013

Applied Mechanics Reviews

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“…multiaxial fatigue criterion based on the so-called critical plane approach has been proposed by Carpinteri and Spagnoli to estimate the high-cycle fatigue strength (either endurance limit or fatigue lifetime) of both smooth and notched structural components [12][13][14][15][16][17]. The main steps of the C-S criterion are as follows: (i) Averaged directions of the principal stress axes are determined on the basis of their instantaneous directions; (ii) The orientation of the initial (hereafter termed critical) crack plane and that of the final fracture plane are linked to the averaged directions of the principal stress axes (two material parameters are required at this step: fatigue limit In the following sub-sections, the C-S criterion is briefly reviewed, and an extension to the fatigue assessment of welded structural components under in-and out-of-phase loadings is discussed [18].…”

Section: The C-s Criterionmentioning

confidence: 99%

“…However, some experimental results [11] on welded steel joints show a decrease of fatigue life in presence of out-of-phase multiaxial loadings as compared to fatigue life under in-phase multiaxial loadings. The critical plane-based multiaxial fatigue criterion proposed by Carpinteri and Spagnoli (the C-S criterion) for smooth and notched specimens [12][13][14][15][16][17] has recently been extended to welded structural components by employing the nominal stresses [18]. In the present paper, a comparison between lifetime predictions and experimental data available in the literature [11,[19][20][21] is carried out, for both in-phase and out-of-phase biaxial cyclic loadings with constant amplitude.…”

Section: Introductionmentioning

confidence: 99%

Fatigue life estimation in welded joints under multiaxial loadings

Carpinteri

Spagnoli

2009

Frattura Ed Integrità Strutturale

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RIASSUNTO.Le giunzioni saldate sono frequentemente zone di innesco di fessure che possono poi provocare la crisi per fatica dell'intera struttura. Stati tensionali e deformativi biassiali o triassiali sono presenti in prossimità delle giunzioni saldate a causa della concentrazione indotta dalla geometria della giunzione stessa, dal processo di saldatura e/o dalla presenza di carichi multiassiali. La determinazione della vita a fatica di giunzioni saldate in presenza di carichi multiassiali ciclici proporzionali può essere eseguita adottando criteri locali basati su ipotesi convenzionali (Criterio di Mises o Criterio di Tresca). In presenza di carichi ciclici multiassiali non proporzionali, invece, è stato osservato sperimentalmente che, valutando la vita a fatica attraverso ipotesi convenzionali, si giunge a previsioni che non sono a favore di sicurezza. Un criterio è stato proposto dagli autori per determinare la vita a fatica di componenti strutturali soggetti a stati tensionali multiassiali. Il criterio è stato inizialmente sviluppato per i componenti lisci e intagliati e poi esteso, con opportune modifiche, ai componenti saldati. La determinazione della vita a fatica viene eseguita considerando una funzione quadratica in cui compaiono l'ampiezza della componente tangenziale di tensione (agente sul piano critico) e l'ampiezza e il valore medio della componente normale di tensione (agente sul piano critico). Scopo di questo lavoro è il confronto tra la previsione della vita a fatica ottenuta mediante il presente criterio in termini di tensioni nominali e la vita a fatica sperimentale per dati relativi a prove biassiali di fatica reperibili in letteratura.ABSTRACT. Welded joints are frequently locations for cracks initiation and propagation that may cause fatigue failure of engineering structures. Biaxial or triaxial stress-strain states are present in the vicinity of welded joints, due to local geometrical constraints, welding processes and/or multiaxial external loadings. Fatigue life evaluation of welded joints under multiaxial proportional (in-phase) cyclic loading can be performed by using conventional hypotheses (e.g. see the von Mises criterion or the Tresca criterion) on the basis of local approaches. On the contrary, the fatigue life predictions of welded joints under non-proportional (out-ofphase) cyclic loading are generally unsafe if these conventional hypotheses are used. A criterion initially proposed by the authors for smooth and notched structural components has been extended to the fatigue assessment of welded joints. In more detail, fatigue life of welded joints under multiaxial stress states can be evaluated by considering a nonlinear combination of the shear stress amplitude (acting on the critical plane) and the amplitude and the mean value of the normal stress (acting on the critical plane). In the present paper, fatigue lifetimes predicted through the proposed criterion are compared with experimental fatigue life data available in the literature, related to fatigue biaxial tests.

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“…The origins of the TCD are located in the middle of the twentieth century [11,12], but in the last two decades this theory has had a wider development, providing answers to different scientific and engineering problems (e.g., [3,6,[13][14][15][16][17][18][19][20]). …”

Section: Theoretical Background: the Line Methods And Apparent Fracturmentioning

confidence: 99%

On the Line Method apparent fracture toughness evaluations: Experimental overview, validation and some consequences on fracture assessments

Cicero

García

Madrazo

2015

Theoretical and Applied Fracture Mechanics

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This paper analyses the capacity of the Line Method to provide evaluations of the apparent fracture toughness, which is the fracture resistance exhibited by materials in notched conditions. With this aim, the experimental results obtained in 555 fracture tests are homogeneously presented and compared to the Line Method evaluations. It is remarked that the Line Method provides adequate estimates of the apparent fracture toughness, and also that it conveniently addresses the physics of the notch effect. All this makes the Line Method a valuable scientific and engineering tool for the fracture assessment of materials containing notches.

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A multiaxial criterion for notch high-cycle fatigue using a critical-point method

Cited by 72 publications

References 28 publications

Size Effect Law and Critical Distance Theories to Predict the Nominal Strength of Quasibrittle Structures

Size Effect Law and Critical Distance Theories to Predict the Nominal Strength of Quasibrittle Structures

Fatigue life estimation in welded joints under multiaxial loadings

On the Line Method apparent fracture toughness evaluations: Experimental overview, validation and some consequences on fracture assessments

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