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

Abdullateef H. Bashiri
Abdullateef H. Bashiri
   | 03 déc. 2021
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Publié en ligne: 03 déc. 2021
Pages: 285 - 297
Reçu: 03 sept. 2021
Accepté: 07 oct. 2021
DOI: https://doi.org/10.2478/msp-2021-0024
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© 2021 Abdullateef H. Bashiri, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fig. 1

Crack propagation angle according to the second mode of SIFs (A) KII > 0 (B) KII < 0.
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.
(A) Crack tip in an arbitrary contour, (B) J-integral area.

Fig. 3

Computational procedure of the fatigue crack growth developed program.
Computational procedure of the fatigue crack growth developed program.

Fig. 4

Cracked plate with four holes and one edge crack.
Cracked plate with four holes and one edge crack.

Fig. 5

Initial generated mesh (A) Ansys Workbench, (B) developed program.
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.
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.
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.
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.
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.
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.
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.
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].
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.
Dimensionless SIFs for specimen 1. SIFs, stress intensity factors.

Fig. 15

Predicted crack growth path for specimen 2, (A) developed program, (B) Ansys.
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].
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.
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)
1 25.4 152.4
2 38.1 127

Mechanical properties of aluminium 7075-T6 [51]

Property Value in metric unit
Modulus of elasticity, E 72 GPa
Poisson's ratio, υ 0.33
Yield strength, σy 469 MPa
Ultimate strength, σu 538 MPa
Fracture toughness, KIC 3,288.76 MPa mm \sqrt {mm}

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

Properties Metric units value
Modulus of elasticity, E 205 GPa
Poisson's ratio, υ 0.3
Yield strength, σy 516 MPa
Fracture toughness, KIC 730 MPa m \sqrt m
Threshold SIF, Δkth 80 MPa mm \sqrt {\rm mm}
Paris’ law coefficient, C 1.2 × 10−11
Paris law exponent, m 3
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