A Finite Element Analysis of a Crack Growing Under Cyclic Loading

Wästberg, Stig

doi:10.1111/j.1460-2695.1983.tb00331.x

Cited by 6 publications

(2 citation statements)

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“…Lindley and Richards observed squashing of shear lips which suggests that, where closure due to the presence of shear lips occurs, reopening will occur on reloading at a lower load than that at which it occurred during the previous unloading, Wastberg's finite element analysis confirms this [44]. Thus, whilst Elber's postulate of the crack remaining open for a constant fraction of the loading cycle has proved to be a very useful concept in the understanding of shear mode and part shear mode growth this, too, is a simplification.…”

Section: Schematic Variation Of Fatigue Crack Growth Rate (Da/dn) Wsupporting

confidence: 62%

A Review of Fatigue Crack Growth Characterisation by Linear Elastic Fracture Mechanics (Lefm). Part I—principles and Methods of Data Generation

Allen

Booth

Jutla

1988

Fatigue Fract Eng Mat Struct

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Ahstmet-The application of linear elastic fracture mechanics (LEFM) to the characterisation of fatigue crack growth has been reviewed. In Part I the present understanding of the factors influencing growth rate is summarised, and the current methods of fatigue crack growth rate data generation are considered in the light of this. In Part 11, documents are reviewed which provide advice on the prediction of fatigue crack growth and also those national standards in which fatigue crack growth considerations are implicit. NOMENCLATUREBecause of the nature of this review it is not possible to provide a precise nomenclature. Where possible, terminology consistent with the source document has been adopted. The following general terms occur most frequently: A, C, C,, =constants in the Paris equation u = crack length B = specimen thickness d = grain diameter du/dN = fatigue crack growth rate per cycle dq5/dA = rate of change in compliance with crack area E = Young's modulus E' = E for plane stress or E/(1 -v 2 ) for plane strain G = crack extension force per unit thickness J = Jcontour integral K = stress intensity factor Kal = parameters relating to the dependence of threshold on prior load history K.fb Kl K, = non-plane strain fracture toughness K,c = plane strain fracture toughness K = mean stress intensity factor N = number of loading cycles P = applied load K , , = maximum value of K during a loading cycle tn, n = exponents in the Paris equation PmX = maximum load during a cycle P,j, = minimum load during a cycle R = stress or load ratio (Pmn/Pmm) W = specimen width (or half width of a BSI CCT specimen) Y = stress intensity factor function Au = change in crack length AK = stress intensity factor range (K,,,,, -Lin) 'Author to whom correspondence should be addressed. U = AK,,/AK 45 F.F.E.M.S. I lil-D 46 R. J. ALLEN et al. AKeR= the range of K over which a crack is fully open on loading AKth = fatigue crack growth threshold A& = initial value of AK at the start of a test AP = load range (P,,, -P,,,) S = crack tip opening displacement (CTOD) v = poisson's ratio of = flow stress [ = (uTs + uys)/2] uTs = tensile strength uys = yield or 0.2% proof strength ux = stress in the x direction (see Fig. 1) uy = stress in the y direction (see Fig. 1) Units = MPa, m unless otherwise stated.

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Section: Schematic Variation Of Fatigue Crack Growth Rate (Da/dn) Wsupporting

confidence: 62%

A Review of Fatigue Crack Growth Characterisation by Linear Elastic Fracture Mechanics (Lefm). Part I—principles and Methods of Data Generation

Allen

Booth

Jutla

1988

Fatigue Fract Eng Mat Struct

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“…Meanwhile, meshlesss methods (Zi et al, 2004;Duflot and Nguyen-Dang, 2004), XFEM methods (Stolarska and Chopp, 2003;Ferrie et al, 2006;Comi et al, 2007), and boundary element methods (Yan and Nguyen-Dang, 1995;Mellings et al, 2005;Yan, 2007) are applied to simulate the growth of cracks. The popularity of finite element method (FEM) for complex domains and nonlinear analysis also encourages many researchers (Ogura and Ohji, 1977;Wastberg, 1983;Oliva et al, 1997;Lebaillif and Recho, 2007;Bogard et al, 2008) to simulate fatigue growth of the cracks via FEM.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Multiple Cracking in ANSI 304 Stainless Steel Under Thermal Fatigue

Qing

Yang

2010

International Journal of Damage Mechanics

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We simulate in this article for multiple cracking in ANSI 304 stainless steel under thermal fatigue loading, with the usage of a two-surfaces cyclic plastic model. The fatigue process of multiple cracks is studied, from crack nucleation to crack propagation. The simulation is performed in two steps. First, the crack nucleation is simulated. Monte-Carlo randomization is used to determine the size and the position of surface grains. A modified Jiang’s multiaxial fatigue damage model, in combination with linear damage accumulation law, is used to describe the damage of each grain on the specimen surface. Secondly, the growth behavior of short cracks and long cracks is simulated by using a generalized Paris’ law. The model presented in this study gives predictions in agreement with the experimental data in the depth direction.

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An analytical model of fatigue crack growth based on the crack-tip plasticity

Sahasakmontri

Horii

1991

Engineering Fracture Mechanics

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A Finite Element Analysis of a Crack Growing Under Cyclic Loading

Cited by 6 publications

References 14 publications

A Review of Fatigue Crack Growth Characterisation by Linear Elastic Fracture Mechanics (Lefm). Part I—principles and Methods of Data Generation

A Review of Fatigue Crack Growth Characterisation by Linear Elastic Fracture Mechanics (Lefm). Part I—principles and Methods of Data Generation

Numerical Simulation of Multiple Cracking in ANSI 304 Stainless Steel Under Thermal Fatigue

An analytical model of fatigue crack growth based on the crack-tip plasticity

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