Mixed-mode fatigue crack growth analysis using peridynamic approach
Source abstract
Abstract
Abstract A new method is developed in this study to extend the peridynamic fatigue model for mode-I crack case proposed by Silling (2014) to a mixed-mode (mode-I and mode-II) crack case. To determine the model parameters, application of the modified Paris law incorporating the effective stress intensity factor model of Tanaka (Tanaka, 1974), is also proposed. Furthermore, a method is developed to decompose the peridynamic J-integral separately into mode-I and mode-II. The decomposed J-integral values are then used to compute and analyze the change in the stress intensity factor of each mode during crack propagation. The proposed model is validated by comparison with existing experimental results and shows that a mixed-mode fatigue crack growth rate can accurately be predicted under various load conditions. Additionally, the associated computation time is significantly reduced by formulating a matrix-based peridynamic code that uses a graphics processing unit.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in engineering · Fatigue and fracture mechanics · Mechanical stress and fatigue analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (37)
Show source-provided references
1. Application of strain energy density factor to fatigue crack growth analysis10.1016/0013-7944(80)90094-6 ↗
2. Mixed mode fatigue crack growth at 550 C under plane stress conditions in Jethete M15210.1016/0013-7944(91)90072-9 ↗
3. Mixed mode fatigue crack growth in aluminum plates with composite patches10.1016/S0142-1123(02)00142-1 ↗
4. An introduction to dynamic relaxation (Dynamic relaxation method for structural analysis, using computer to calculate internal forces following development from initially unloaded state)
5. Fatigue and fracture of cylindrical shells containing a circumferential crack10.1007/BF00182626 ↗
6. On the crack extension in plates under plane loading and transverse shear10.1115/1.3656897 ↗
7. Numerical analysis of crack propagation in cyclic-loaded structures10.1115/1.3609637 ↗
8. Fuchs · 1980
9. Gallagher JP. USAF damage tolerant design handbook: guidelines for the analysis and design of damage tolerant aircraft structures (No. FINAL REPO); 1984.
10. Studies of dynamic crack propagation and crack branching with peridynamics10.1007/s10704-010-9442-4 ↗
11. The calculation of stress intensity factors for combined tensile and shear loading10.1007/BF00116368 ↗
12. The formulation and computation of the nonlocal J-integral in bond-based peridynamics10.1007/s10704-012-9745-8 ↗
13. Peridynamics for fatigue life and residual strength prediction of composite laminates10.1016/j.compstruct.2016.10.010 ↗
14. Analysis of stresses and strains near the end of a crack traversing a plate
15. Fatigue crack growth analysis in layered heterogeneous material systems using peridynamic approach10.1016/j.compstruct.2016.05.077 ↗
16. Kilic B. Peridynamic theory for progressive failure prediction in homogeneous and heterogeneous materials. The University of Arizona; 2008.
17. Prediction of crack paths in a quenched glass plate by using peridynamic theory10.1007/s10704-009-9355-2 ↗
18. A two-dimensional ordinary, state-based peridynamic model for linearly elastic solids10.1002/nme.4642 ↗
19. Force flux and the peridynamic stress tensor10.1016/j.jmps.2007.08.004 ↗
20. Vector CTD criterion applied to mixed mode fatigue crack growth10.1111/j.1460-2695.1989.tb00508.x ↗
21. Oterkus E, Guven I, Madenci E. Fatigue failure model with peridynamic theory. In: Thermal and thermomechanical phenomena in electronic systems (ITherm), 2010 12th IEEE intersociety conference on IEEE; 2010, June. p. 1–6.10.1109/ITHERM.2010.5501273 ↗
22. Application of peridynamic stress intensity factors to dynamic fracture initiation and propagation10.1007/s10704-016-0124-8 ↗
23. A rational analytic theory of fatigue
24. Parks ML, Littlewood DJ, Mitchell JA, Silling SA. Peridigm Users’ Guide v1. 0.0. SAND Report, 7800; 2012.10.2172/1055619 ↗
25. Fatigue crack growth under mixed mode loading10.1111/j.1460-2695.1981.tb01375.x ↗
26. Strain-energy-density factor applied to mixed mode crack problems10.1007/BF00035493 ↗
27. Mixed mode fatigue crack growth predictions10.1016/0013-7944(80)90076-4 ↗
28. Reformulation of elasticity theory for discontinuities and long-range forces10.1016/S0022-5096(99)00029-0 ↗
29. Silling SA, Askari A. Peridynamic model for fatigue cracking (No. SAND2014-0017J). Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States); 2014.10.2172/1160289 ↗
30. A meshfree method based on the peridynamic model of solid mechanics10.1016/j.compstruc.2004.11.026 ↗
31. Peridynamic states and constitutive modeling10.1007/s10659-007-9125-1 ↗
32. Crack nucleation in a peridynamic solid10.1007/s10704-010-9447-z ↗
33. Fatigue crack propagation from a crack inclined to the cyclic tensile axis10.1016/0013-7944(74)90007-1 ↗
34. The T-criterion applied to ductile fracture10.1007/BF01130617 ↗
35. Authors' closure on the discussion by GC Sih, ET Moyer Jr. and EE Gdoutos of “the mises elastic-plastic boundary as the core region in fracture criteria”10.1016/0013-7944(84)90044-4 ↗
36. Underwood P. Dynamic relaxation (in structural transient analysis). Computational methods for transient analysis (A 84-29160 12-64). Amsterdam, North-Holland; 1983. p. 245–65.
37. Validation of a peridynamic model for fatigue cracking10.1016/j.engfracmech.2016.05.008 ↗