Energy models for fatigue life estimation under uniaxial random loading. Part I: The model elaboration

Łagoda, Tadeusz

doi:10.1016/s0142-1123(01)00016-0

Cited by 68 publications

(49 citation statements)

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“…A change of strain energy density, applied in theory of plasticity, has been proposed as a parameter to describe multiaxial fatigue [1][2][3][4]. In order to distinguish the work under tension and compression during a uniaxial fatigue cycle, Łagoda and Macha introduce the functions sgn[s(t)] and sgn[e(t)] as follows,…”

Section: The Strain Energy Density Parametermentioning

confidence: 99%

“…by the power spectral density function or its parameters. Lately [1][2][3][4], the strain energy density parameter has been proposed for fatigue life evaluation. This parameter seemed to be efficien in the case of fatigue life determination based on a cycle counting method [1,2,4].…”

Section: Introductionmentioning

confidence: 99%

“…This paper deals with the comparison of some selected models of fatigue life estimation under stationary non-Gaussian random axial loading on the basis of experimental data obtained for the 10HNAP steel in high cycle fatigue (HCF). In this paper the following models for multiaxial loading are analyzed and their predictions compared with experiments: SmithWatson-Topper damage parameter used by BannantineSocie [5], Fatemi-Socie [5,6], Socie for HCF [7], WangBrown [8,9], Morel [10,11] and Łagoda-Macha [1][2][3][4]. n in spherical coordinates system m s = l 0 variance of a stress history s(t) s a max maximum amplitude in the history of stress after cycle counting by means of the rainf ow algorithm s af fatigue limit in fully reversed tension-compression y angle, from f xed axis in the plane P n →, to def ne the direction where the resolved shear stress is computed…”

Section: Introductionmentioning

confidence: 99%

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Fatigue life under non-Gaussian random loading from various models

Banvillet

2004

International Journal of Fatigue

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractFatigue test results on the 10HNAP steel under constant amplitude and random loading with non-Gaussian probability distribution function, zero mean value and wide-band frequency spectrum have been used to compare the life time estimation of the models proposed by Bannantine, Fatemi-Socie, Socie, Wang-Brown, Morel and Łagoda-Macha. Except the Morel proposal which accumulates damage step by step with a proper methodology, all the other models use a cycle counting method. The rainflow algorithm is used to extract cycles from random histories of damage parameters in time domain. In the last model, where a strain energy density parameter is employed, additionally spectral method is evaluated for fatigue life calculation in the frequency domain. The best and very similar results of fatigue life assessment have been obtained using the models proposed by Socie and by Łagoda-Macha, both in time and frequency domains for the last one.

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Section: The Strain Energy Density Parametermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fatigue life under non-Gaussian random loading from various models

Banvillet

2004

International Journal of Fatigue

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“…In the studies of the regularities in the fatigue failure in view of the influence of the loading conditions, the researchers often use the energy criteria based on the consideration of the inelastic strain energy [105,[110][111][112][113][114][115][116][117][118][119][120]. In some cases [105,111,[116][117][118][119], these criteria are characteristic values of the inelastic strain energy per cycle calculated with allowance for the stress state mode, loading history, etc., which are recommended as the characteristics of the fatigue damage accumulation intensity, in other cases [120], the total inelastic strain energy for the total number of the load cycles to fracture serves as a fracture criterion.…”

mentioning

confidence: 99%

“…In some cases [105,111,[116][117][118][119], these criteria are characteristic values of the inelastic strain energy per cycle calculated with allowance for the stress state mode, loading history, etc., which are recommended as the characteristics of the fatigue damage accumulation intensity, in other cases [120], the total inelastic strain energy for the total number of the load cycles to fracture serves as a fracture criterion. A more detailed analysis of the energy criteria of fatigue fracture will be presented in Part 3.…”

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confidence: 99%

Nonlocalized Fatigue Damage of Metals and Alloys. Part 2. Interrelation between Fatigue and Inelasticity

Troshchenko

2005

Strength Mater

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The paper considers interrelation between the regularities in the fatigue fracture and inelastic deformation taking into account the material properties, stress gradient and concentration, specimen size, load cycle asymmetry, complex stress state, temperature, loading frequency and conditions, scatter of the test results. Analysis of the data from the literature and results of original investigations has shown that the characteristics of inelasticity, which define nonlocalized fatigue damage, can be used in studies of general regularities of the high-cycle fatigue fracture. Specific results of such analysis are presented.Keywords: high-cycle fatigue, inelasticity, manufacturing, design, and service factors.Introduction. The main characteristic that determines the resistance of metals and alloys to high-cycle fatigue and is used in calculations of strength and service life of machines and structures is a fatigue curve, which represents the relation between variable stresses and the number of cycles to fracture.The fatigue curve is used to determine the fatigue limit equal to the maximum stresses, which the material can withstand without failure during an infinite (≥10 7 ) number of the load cycles, and the stresses corresponding to a given number of the load cycles to fracture.As is shown by numerous investigations [1-10], those fatigue strength characteristics depend on the structure and fabrication technique of the material and components, their design features, operating conditions, and other factors and can differ appreciably for the same material.Along with construction of fatigue curves in the coordinates stress -number of cycles to fracture, in recent years, basing, in the first place, on the results of studying low-cycle fatigue, the relations are considered between variable strains and number of cycles to fracture [11-17, etc.]. When constructing such relationships, it is considered that the total strain amplitude, ε a , consists of the elastic, ε ae , and inelastic, ε ain , components.A more detailed analysis of the strain criteria of fatigue fracture will be made in Part 3. In this paper, most attention, so far as the experimental data permit, is concentrated on the consideration of the possibilities to establish a relationship between the regularities in the fatigue fracture and inelastic deformation, which characterizes nonlocalized fatigue damage under high-cycle fatigue.Early works are known [18][19][20][21][22], where interrelation between the regularities in inelastic deformation, which is characterized by inelastic strains and inelastic strain energy, heating of specimen, damping capacity, etc., and fatigue fracture were studied, primarily, in connection with the development of methods for accelerated determination of the fatigue limit and prediction of life with the account for the influence of various factors.Basic results in those investigations were obtained in testing smooth specimens under simple conditions. With the use of the data from the literature and the results of unique experimental...

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Analytical Model of Dynamic Behaviour of Fatigue Test Stand—Description and Experimental Validation

Owsiński

Niesłony

2016

Springer Proceedings in Mathematics &Amp; Statistics

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Energy models for fatigue life estimation under uniaxial random loading. Part I: The model elaboration

Cited by 68 publications

References 31 publications

Fatigue life under non-Gaussian random loading from various models

Fatigue life under non-Gaussian random loading from various models

Nonlocalized Fatigue Damage of Metals and Alloys. Part 2. Interrelation between Fatigue and Inelasticity

Analytical Model of Dynamic Behaviour of Fatigue Test Stand—Description and Experimental Validation

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