Local Monte Carlo Method for Fatigue Analysis of Coarse-Grained Metals with a Nanograined Surface Layer
Abstract
:1. Introduction
2. Numerical Framework
2.1. Cohesive Finite Element Method
2.2. 3D CFE Geometric Modeling and Quantification of Constitutive Parameters
- (i)
- Mesh the circular cross section of the 3D specimen. The initial mesh consists of triangular elements in the core location and quadrilateral elements in the surrounding area;
- (ii)
- Generate 3D solid meshes. Read the nodal coordinates and the nodal connectivity of the 2D elements, and then renumber them to establish the index between each new element and the corresponding nodal number. The 2D indices can be extended to 3D so that wedge elements (C3D6) in the core location and hexahedron elements in the surrounding area can be generated;
- (iii)
- Insert cohesive elements. Partition every hexahedron element into four wedge elements along the left and right surfaces, as shown in Figure 3b. One node is replaced by eight separate nodes at the same position at the diagonal center, and four 8-noded cohesive elements (COH3D8 in [44]) and four 6-noded cohesive elements (COH3D6) are generated. The right view of this insertion model is also presented in Figure 3b. COH3D8 can be inserted between the frontal and rear surfaces of the wedge elements, COH3D6 and COH3D8 can be inserted between the left and right surfaces of the wedges and between the upper and lower surfaces of the wedge elements, respectively.
2.3. Weibull Random Field
3. Results for CG and SMATed Specimens
3.1. Cohesive Strength Effects on the Fatigue Life for the CG Specimens
3.2. Random Field Effects on the Fatigue Life and Damage Evolution of CG Specimens
3.3. Load Effects on the Fatigue Life and Damage Evolution of CG Specimens
3.4. Fatigue Life and Damage Evolution of the SMATed Specimens
4. Conclusions and Outlooks
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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304 SS | C3D6 | COH3D6 | COH3D8 | Total Elements | |
---|---|---|---|---|---|
CG | MCSed | - | 2800 | 3780 | 6580 |
Total | 12,950 | 12,915 | 18,935 | 44,800 | |
SMATed | MCSed | - | 5600 | 7910 | 13,510 |
Total | 15,750 | 15,715 | 23,065 | 54,530 |
304 SS | (MPa) | (MPa) | (MPa) | (MPa) | (J m−2) |
---|---|---|---|---|---|
CG | 295 | 2949 | 2949 | 2949 | 25,592 |
NGL | 1278 | 5109 | 5109 | 5109 | 5896 |
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Guo, X.; Sun, Q.; Yang, T.; Weng, G.J.; Zhang, C.; Feng, X. Local Monte Carlo Method for Fatigue Analysis of Coarse-Grained Metals with a Nanograined Surface Layer. Metals 2018, 8, 479. https://doi.org/10.3390/met8070479
Guo X, Sun Q, Yang T, Weng GJ, Zhang C, Feng X. Local Monte Carlo Method for Fatigue Analysis of Coarse-Grained Metals with a Nanograined Surface Layer. Metals. 2018; 8(7):479. https://doi.org/10.3390/met8070479
Chicago/Turabian StyleGuo, Xiang, Qiuqiu Sun, Tao Yang, George J. Weng, Cunbo Zhang, and Xiqiao Feng. 2018. "Local Monte Carlo Method for Fatigue Analysis of Coarse-Grained Metals with a Nanograined Surface Layer" Metals 8, no. 7: 479. https://doi.org/10.3390/met8070479