Mixed-mode fatigue crack growth under biaxial loading

Pandey, R.K.; Patel, Amit

doi:10.1016/0142-1123(84)90023-9

Cited by 14 publications

(3 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To overcome this difficulty an approximate procedure has been independently proposed by Sih and Barthelemy 1241 and Shlyannikov and Ivanishin [25]. Further, this procedure has been used by Au [15], Pandey and Pate1 [26], Gdoutos [27] and Van Mao Xua [28]. Essentially, the procedure involves replacing the bent crack with a straightline crack approximation, as shown in Fig.…”

Section: Crack Trajectory Under Biaxial Mixed-mode Loadingmentioning

confidence: 99%

“…Then, in view of equation (18) and taking into account equations (23) and (lo), we obtain V. N. SHLYANNIKOV and N. Z. BRAUDE c, = C,(E, ?I r p ' e*, n 9 5 y n , PI. (26) In accordance with equations (24) and (25) we consider that the crack growth rate depends on both the loading conditions and material deformation characteristics and so for an arbitrary biaxial loading one can write (when the cyclic stress ratio R = Pmin/P,,,,, = 0 and AK = K,,,,,) c,(a, v, In the particular case of uniaxial symmetric tension, i.e. CI = 90", q = 0, 6* = 0 we have We now express the crack growth characteristics under an arbitrary biaxial loading via the corresponding parameters for uniaxial tension.…”

Section: (25)mentioning

confidence: 99%

See 1 more Smart Citation

A Model for Predicting Crack Growth Rate for Mixed Mode Fracture Under Biaxial Loads

Shlyannikov

Braude

1992

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

A model for predicting the crack growth rate of an initially angled crack under biaxial loads of arbitrary direction is suggested. The model is based on a combination of both the Manson-Coffin equation for low cycle fatigue and the Paris equation for fatigue crack propagation. The model takes into consideration the change in material plastic properties in the region around the crack tip due to the stress state, together with the initial orientation of the crack and also its trajectory of growth. Predictions of crack growth rate for any mixed mode fracture is based on the results of uniaxial tension experiments. NOMENCLATURE a = half crack length C, m = material constants in Paris equation E, G = Young's modulus and shear modulus da/dN = crack growth rate K, , K2 = stress intensity factors for modes 1 and 2 n = strain hardening exponent N = number of cycles of loading N, = fatigue life R = cyclic stress ratio rp = plastic zone size r, 0 = polar coordinates S = strain-energy density factor CI = inclined angle of crack to the y-axis B = Manson-Coffin exponent cf = monotonic fracture strain q = biaxial stress ratio 6* = angle of crack propagation K = (3 -v ) / ( l + v ) 3. = principal stress ratio v = Poisson's ratio u, = compression static strength ut = tension static strength uyr = yield stress u, , u2 = principal stress uc,. t,, = elastic stress and strain intensity u", c, = nominal stress and strain intensity up, cp = plastic stress and strain intensity Y , , Y2 = geometric factor of specimen for K, and K2 ucq, ceq = equivalent stress and strain uxn, uyn = applied stress in the x -and y-direction T~ = torsional static strength x, y = experimental constants $ = biaxial strain ratio 825 826

show abstract

Section: Crack Trajectory Under Biaxial Mixed-mode Loadingmentioning

confidence: 99%

Section: (25)mentioning

confidence: 99%

A Model for Predicting Crack Growth Rate for Mixed Mode Fracture Under Biaxial Loads

Shlyannikov

Braude

1992

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…A wealth of papers can be found in the literature to address the mixed mode crack propagation. Among them, Sih and Barthelemy, 5 Pandey and Patel 6 used strain energy density factor criterion to predict the mixed mode fatigue crack growth direction and strain energy density factor range to correlate crack growth rates with an approximation of replacing the curved crack path by a straight segment. Gao et al 7 studied the growth of fatigue cracks under combined Mode I and Mode II loads and found that crack followed a path that gave the maximum once branches had formed.…”

Section: Introductionmentioning

confidence: 99%

Experimental study of I + III mixed mode fatigue crack transformation propagation

Qian

2010

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

View full text Add to dashboard Cite

A B S T R A C T In this paper, compact tension specimens with tilted cracks under monotonic fatigue loading were tested to investigate I + III mixed mode fatigue crack propagation in the material of No. 45 steel with the emphasis on the mode transformation process. It is found that with the crack growth, I + III mixed mode changes to Mode I. Crack mode transformation is governed by the Mode III component and the transformation rate is a function of the relative magnitude of the Mode III stress intensity factor. However, even in the process of the crack mode transformation the fatigue crack propagation is controlled by the Mode I deformation. a x = crack length in horizontal direction (mm) a y = crack length in vertical direction (mm) A = material components ( • /mm) B = thickness of CT specimen (mm) M = material components C = material components ( • /mm) |dθ/da x | = change rate of the angle θ da/dN = fatigue crack propagation rate (mm/cycle) H = width of the notch (mm) W = width of CT specimen (mm) β = tilt angle ( • ) K I = alternating amplitude of Mode I stress intensity factor (MPa·m 1/2 ) K III = alternating amplitude of Mode III stress intensity factor (MPa·m 1/2 ) K e = alternating amplitude of effective stress intensity factor (MPa·m 1/2 ) θ = instantaneous value of the tilt angle β ( • ) σ s = yield strength (MPa) σ b = tensile strength (MPa)

show abstract

Curvilinear crack development trajectory in aluminum alloys with biaxial cyclic loading

Shlyannikov

1991

Strength Mater

View full text Add to dashboard Cite

Mixed-mode fatigue crack growth under biaxial loading

Cited by 14 publications

References 11 publications

A Model for Predicting Crack Growth Rate for Mixed Mode Fracture Under Biaxial Loads

A Model for Predicting Crack Growth Rate for Mixed Mode Fracture Under Biaxial Loads

Experimental study of I + III mixed mode fatigue crack transformation propagation

Curvilinear crack development trajectory in aluminum alloys with biaxial cyclic loading

Contact Info

Product

Resources

About