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Review
. 2023 Dec 11;16(24):7603.
doi: 10.3390/ma16247603.

A Literature Review of Incorporating Crack Tip Plasticity into Fatigue Crack Growth Models

Antonio Garcia-Gonzalez  1 , Jose A Aguilera  1 , Pablo M Cerezo  1 , Cristina Castro-Egler  1 , Pablo Lopez-Crespo  1
Affiliations
Review

A Literature Review of Incorporating Crack Tip Plasticity into Fatigue Crack Growth Models

Antonio Garcia-Gonzalez et al. Materials (Basel). .

Abstract

This paper presents an extensive literature review focusing on the utilisation of crack tip plasticity as a crucial parameter in determining and enhancing crack growth models. The review encompasses a comprehensive analysis of various methodologies, predominantly emphasising numerical simulations of crack growth models while also considering analytical approaches. Although experimental investigations are not the focus of this review, their relevance and interplay with numerical and analytical methods are acknowledged. The paper critically examines these methodologies, providing insights into their advantages and limitations. Ultimately, this review aims to offer a holistic understanding of the role of crack tip plasticity in the development of effective crack growth models, highlighting the synergies and gaps between theoretical, experimental, and simulation-based approaches.

Keywords: crack closure (CC); linear elastic fracture mechanics (LEFM); linear elasto–plastic fracture mechanics (LEPFM); stress intensity factor (SIF).

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Conflict of interest statement

The authors declare no conflict of interest.

Figures

Figure 6
Figure 6
The comparison between the predicted Kmax vs. ΔK curve and the experimentally obtained data for (a) 2324 aluminium alloy and (b) 6013 aluminium alloy. From [61].
Figure 1
Figure 1
Schematic illustration of the procedure to determine ΔJ (a) and the ΔJeff (b). From [34]. (c) Stress–strain curve of a low cycle fatigue experiment at a plastic strain amplitude of about 0.3%. A–E present SEM micrographs showing the closing of the crack. From [34].
Figure 2
Figure 2
Fatigue crack growth data for Al 2024 T351 aluminium alloy as a function of the two-parameter driving force, ΔK. From [39].
Figure 3
Figure 3
Opening stresses for an infinite plate with a circular hole and two radial symmetric cracks propagating under constant amplitude loading with and without residual stresses due to cold expansion (ur/r = 4%). (a,b) are for σ0/σmax = 0.4 and 0.6, respectively, with R = 0. From [44].
Figure 4
Figure 4
(a,b) Crack growth per cycle (da/dN) versus plastic CTOD range (ΔCTODp) for both tests for 304SS. (c) Comparison of FCGR specimens with relation to cyclic plastic zone plane strain conditions for Inconel 718 and 304SS. (d) Plane stress and strain for Inconel 718. From [58].
Figure 5
Figure 5
FCGR response of alloys (a) 6061−T6 and (b) 2024−T3 showing R = 0.7 data and constant Kmax data (Kmax = 22 MPam) as a function of Kapp. From [20].
Figure 7
Figure 7
(a) Opening (KI) and (b) shearing (KII) mode stress intensity factors measured during the loading portion of a fatigue cycle (R = 0) with θ = 30º on a 7010 aluminium alloy centre-cracked plate. The nominal values were calculated neglecting closure effects. The experimental values were determined relative to an image captured at zero load. From [62].
Figure 8
Figure 8
Interesting crack tip region/point, assuming that damage is a local issue—theory of critical distance (TCD). Region of reversed plastic zone rpc if fatigue damage accumulates. Region of forward plastic zone rpm.
Figure 9
Figure 9
Correlation between CTOD calculated from P-Vg curve and actual CTOD at mid-thickness experimentally measured by silicone rubber casting for specimen with thickness B = 30 mm. (a) CTODJWES. (b) CTODBS. From [35].
Figure 10
Figure 10
Crack growth per cycle (da/dN) versus CTOD range (ΔCTODp) for both tests).
Figure 11
Figure 11
Evolution of fatigue crack propagation rate estimated by numerical simulation. (a) Master plot for R = 0 and (b) plastic dissipation per cycle vs. ΔK for a Titanium alloy. From [79].
Figure 12
Figure 12
Fatigue crack growth data under stress control for cracks growing from starter holes in round tension specimens of 0.45% C steel, plotted in terms of (a) ΔK and (b) the change in net-section strain energy, ΔCpσ. From [80].
Figure 13
Figure 13
Comparison of measured and estimated dissipated energy per cycle for (a) 2024-T351 and (b) 7075-T7351. Comparison of measured evolution of da/dN with Q (c) for 2024-T351 (d) and 7075-T7351. From [83].
Figure 14
Figure 14
(a) The dependence of crack blunting parameter increment (per cycle) on the applied stress intensity factor, ΔK, that is described well by a power law relationship. (b) The dependence of crack tip plastic energy dissipation (per cycle) on the applied stress intensity factor, ΔK, that is described well by a power law relationship. From [84].
Figure 15
Figure 15
Evolution of fatigue crack propagation rate estimated by numerical simulation. From [87,88].
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