Application of an energy model for fatigue life prediction of construction steels under bending, torsion and synchronous bending and torsion

Gasiak, G.; Pawliczek, Roland

doi:10.1016/s0142-1123(03)00055-0

Cited by 47 publications

(30 citation statements)

References 8 publications

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“…In the Gasiak and Pawliczek's criterion, 29 the energy stored in the material continues to be the parameter representative of the fatigue damage, and thought as the sum of three contributions: the first associated with the elastic deformation, the second due to the possible presence of a mean stress different from zero, and the last accounting for the plastic deformation.…”

Section: A Non‐conventional Application Of Sed Over Different Controlmentioning

confidence: 99%

“…6 A number of different multi-axial predictive models have been proposed recently in the literature to deal with notches of different geometry, capable of provoking stress concentrations with different severity. [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37] Multi-axial fatigue data from welded joints were reanalysed by Lazzarin et al 35 who modelled the weld toe region as a sharp V-notch and proposed as a damage parameter the mean value of the strain energy density (SED) over a well-defined control volume surrounding the weld toe. SED was given as a function of the relevant Notch Stress Intensity factors (NSIFs).…”

Section: U L T I a X I A L F A T I G U E O F V-n O T C H E D S T E mentioning

confidence: 99%

“…A number of different multi‐axial predictive models have been proposed recently in the literature to deal with notches of different geometry, capable of provoking stress concentrations with different severity 21–37 …”

Section: Introductionmentioning

confidence: 99%

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Multiaxial fatigue of V-notched steel specimens: a non-conventional application of the local energy method

Berto

Lazzarin

Yates

2011

Fatigue &Amp; Fracture of Engineering Materials &Amp; Structures

145

132

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A B S T R A C T The paper deals with the multi-axial fatigue strength of notched specimens made of 39NiCrMo3 hardened and tempered steel. Circumferentially V-notched specimens were subjected to combined tension and torsion loading, both in-phase and out-of-phase, under two nominal load ratios, R = −1 and R = 0, also taking into account the influence of the biaxiality ratio, λ = τ a /σ a . The notch geometry of all axi-symmetric specimens was a notch tip radius of 0.1 mm, a notch depth of 4 mm, an included V-notch angle of 90 • and a net section diameter of 12 mm. The results from multi-axial tests are discussed together with those obtained under pure tension and pure torsion loading on plain and notched specimens. Furthermore the fracture surfaces are examined and the size of nonpropagating cracks measured from some run-out specimens at 5 million cycles. Finally, all results are presented in terms of the local strain energy density averaged in a given control volume close to the V-notch tip. The control volume is found to be dependent on the loading mode.Keywords multiaxial fatigue; notch stress intensity factor (NSIF); strain energy density (SED); torsion loading; V-notched. N O M E N C L A T U R E2α = V-notch included angle = Phase angle λ = Biaxiality ratio, τ a /σ a λ 1 = Eigenvalue of the mode I stress distribution, according to Williams's solution λ 3 = Eigenvalue of the mode III stress distribution ρ = Notch root radius σ a = Nominal stress amplitude referred to the net area of the specimens τ a = Nominal stress amplitude due to torsion loading (on the net area) σ A, τ A = Fatigue strength (in terms of stress amplitudes on the net area) at N A cycles to failure σ y = Yield stress σ y = Cyclic yield stress c np = Non-propagating crack length according to Yu, Tanaka and Akiniwa's model e 1 , e 3 = Parameters used for the energy density evaluation k = Inverse slope of the fatigue curves K 1 , K 3 = Mode I and mode III notch stress intensity factors (NSIFs) K th = Threshold value of the stress intensity factor K IIIsh th = Shielding stress intensity factor under mode III loading according to Yu et al. k 1 , k 3 = Non-dimensional factors used in the NSIF expressions Correspondence: P. Lazzarin.

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Section: A Non‐conventional Application Of Sed Over Different Controlmentioning

confidence: 99%

Section: U L T I a X I A L F A T I G U E O F V-n O T C H E D S T E mentioning

confidence: 99%

See 1 more Smart Citation

Multiaxial fatigue of V-notched steel specimens: a non-conventional application of the local energy method

Berto

Lazzarin

Yates

2011

Fatigue &Amp; Fracture of Engineering Materials &Amp; Structures

145

132

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“…The calculated results were compared with the experimental ones for three materials: alloy steels: S355J2WP (according to PN: 10HNAP) [31] and S355J2G3 (according to PN: 18G2A) [31,32] and a medium-alloy steel 30CrNiMo8 [33] [31][32][33][34] under the following fully reversible constant-amplitude loading: plane bending, torsion and proportional bending with torsion. In the case of the S355J2WP steel the amplitude ratio (torsion/bending) was equal to s a /r a = 1 and in the case of S355J2G3 and 30CrNiMo8 steels the amplitude ratio was equal to s a /r a = 0.5.…”

Section: Experimental Datamentioning

confidence: 99%

Analysis of the coefficient of normal stress effect in chosen multiaxial fatigue criteria

Karolczuk

Kluger

2014

Theoretical and Applied Fracture Mechanics

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“…Formulation of a mathematical model suitable for calculations of strength and fatigue life seems to be difficult, because fatigue is a complex phenomenon and it has not been sufficiently recognized yet. 2,3,[5][6][7][8][9] Fatigue tests under complex loading state, including additional phenomena changing the loading state (e.g. additional static loading, stress concentrators, crack propagation) seem to be advisable.…”

Section: Introductionmentioning

confidence: 99%

Simulation of fatigue life of constructional steels within the mixed modes I and III loading

Gasiak

Robak

2010

Fatigue &Amp; Fracture of Engineering Materials &Amp; Structures

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A B S T R A C TThe authors analysed influence of a component of the torsional moment M as under the complex loading state, that is under bending with torsion, on fatigue life during initiation and propagation of fatigue cracks. Simulation of specimen life was performed according to the relationships describing the crack propagation rate and including the equivalent stress intensity factor range K eq . Under complex loading, increase of amplitude of the torsional moment M as for a given initial value of the resultant moment M aw0 caused a higher fatigue life of specimens made of 10HNAP and 18G2A steels. This fatigue life increase was described by a nonlinear equation, the parameters of which had been determined from the experimental results. The fatigue lives estimated according to the assumed models were compared with those obtained from tests.Keywords bending with torsion; equivalent stress intensity factor range; fatigue life; mixed mode loading. N O M E N C L A T U R Ea = crack length a e xpi = crack length obtained while tests a max e xpi = maximum crack length a k = the critical crack length a p = the initial length of crack a o bli = calculated crack length b = width of the specimen d i = minimal length of the interval E = Young's modulus G = strain energy release rate G eq = equivalent strain energy release rate G I = strain energy release rate for mode I G III = strain energy release rate for mode III h = height of the specimen k 2 and k 3 = coefficients dependent on side ratios b/h K eq = equivalent stress intensity factor K I = stress intensity factor for mode I K III = stress intensity factor for mode III M ag and M as = amplitudes of the bending and torsional moments M g = bending moment M K I , M K I I I = shape correction coefficients for modes I and III M mg and M ms = mean values of the bending and torsional moments (constant) M s = torsional moment

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Application of an energy model for fatigue life prediction of construction steels under bending, torsion and synchronous bending and torsion

Cited by 47 publications

References 8 publications

Multiaxial fatigue of V-notched steel specimens: a non-conventional application of the local energy method

Multiaxial fatigue of V-notched steel specimens: a non-conventional application of the local energy method

Analysis of the coefficient of normal stress effect in chosen multiaxial fatigue criteria

Simulation of fatigue life of constructional steels within the mixed modes I and III loading

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