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2D and 3D numerical simulation of fatigue crack growth path and life predictions of a linear elastic Cover

2D and 3D numerical simulation of fatigue crack growth path and life predictions of a linear elastic

Open Access
|Dec 2021

Figures & Tables

Fig. 1

Crack propagation angle according to the second mode of SIFs (A) KII > 0 (B) KII < 0.

Fig. 2

(A) Crack tip in an arbitrary contour, (B) J-integral area.

Fig. 3

Computational procedure of the fatigue crack growth developed program.

Fig. 4

Cracked plate with four holes and one edge crack.

Fig. 5

Initial generated mesh (A) Ansys Workbench, (B) developed program.

Fig. 6

Crack growth path: (A) Ansys Workbench, (B) developed program, (C) FMM backscattered electron macroscope (BEM) [46]. FMM, fast multipole method.

Fig. 7

Crack growth trajectory (A) maximum principal stress (developed program), (B) maximum principal stress (Ansys), (C) minimum principal stress (developed program), (D) minimum principal stress (Ansys). All units in MPa.

Fig. 8

KI and KII for cracked plate with four holes.

Fig. 9

Comparison for the stress contour distribution in y direction (A) developed program, (B) Ansys, and (C) FMM BEM [52]. All units in MPa. FMM, fast multipole method.

Fig. 10

Geometry and boundary condition of the three holes’ single edge crack plate.

Fig. 11

Initial mesh of the three holes’ single edge cracked plate in (A) Ansys, (B) developed program.

Fig. 12

Predicted crack growth path for specimen 1, (A) developed program, (B) Ansys.

Fig. 13

Specimen 1, crack growth trajectory (A) Ansys simulation (B) developed program (C) experimental [53], (D) numerical results [54], (E) numerical results [22], (F) numerical results [15].

Fig. 14

Dimensionless SIFs for specimen 1. SIFs, stress intensity factors.

Fig. 15

Predicted crack growth path for specimen 2, (A) developed program, (B) Ansys.

Fig. 16

Specimen 1, crack growth trajectory, (A) Ansys simulation, (B) developed program, (C) experimental [53, 55], (D) numerical results [54].

Fig. 17

Dimensionless SIFs for specimen 2. SIFs, stress intensity factors.

Configurations of the three holes’ single edge cracked plate

Specimen No.Length of crack, a (mm)Crack position, b (mm)
125.4152.4
238.1127

Mechanical properties of aluminium 7075-T6 [51]

PropertyValue in metric unit
Modulus of elasticity, E72 GPa
Poisson's ratio, υ0.33
Yield strength, σy469 MPa
Ultimate strength, σu538 MPa
Fracture toughness, KIC3,288.76 MPa mm \sqrt {mm}

Mechanical properties of the three holes single edge cracked plate [22]

PropertiesMetric units value
Modulus of elasticity, E205 GPa
Poisson's ratio, υ0.3
Yield strength, σy516 MPa
Fracture toughness, KIC730 MPa m \sqrt m
Threshold SIF, Δkth80 MPa mm \sqrt {\rm mm}
Paris’ law coefficient, C1.2 × 10−11
Paris law exponent, m3
DOI: https://doi.org/10.2478/msp-2021-0024 | Journal eISSN: 2083-134X | Journal ISSN: 2083-1331
Language: English
Page range: 285 - 297
Submitted on: Sep 3, 2021
Accepted on: Oct 7, 2021
Published on: Dec 3, 2021
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2021 Abdullateef H. Bashiri, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.