Numerical modeling of fatigue fracture in the light alloys produced by additive technology

Authors

DOI:

https://doi.org/10.7242/1999-6691/2025.18.2.13

Keywords:

fatigue strength, selective laser melting, mathematical modeling, prediction model, cyclic damage accumulation model

Abstract

A new approach to optimization of process parameters of selective laser melting  is proposed in this paper. The required fatigue life of the final SLM product is used as an optimization parameter. A two-stage algorithm is proposed to implement this approach. At the first stage, a three-dimensional non-stationary nonlinear problem of heat conduction for a multiphase system is solved. As a result of modeling, geometric parameters of single-layer and multilayer systems of overlapping tracks are determined. The influence of laser melting process parameters (power, speed, laser beam pitch) on the topological features of the formed microstructure is studied. Characteristic types and geometric parameters of quasi-regular defects of the material produced by selective laser melting in the form of "unmelted" and multiple "overmelted" areas are obtained. At the second stage, the influence of single and multiple defects on the fatigue strength of printed samples under high-frequency loading is studied using the previously proposed multi-mode fatigue failure model. It is shown that internal heterogeneity of the microstructure of materials printed by selective laser melting can lead to earlier subsurface initiation of fatigue cracks and significantly reduce the fatigue strength and durability of the product. This effect is more pronounced for systems of multiple defects. The proposed models and calculation algorithms allow calculating the fatigue strength and durability of samples or products obtained by selective laser melting, depending on the selected process parameters. Mathematical modeling and comparison of the fatigue life of corset samples obtained by selective laser melting with experimental data are carried out. Qualitative and quantitative correspondence between the modeling and experimental results is noted.

Downloads

Download data is not yet available.
Supporting Agencies
The study was carried out within the framework of the Russian Science Foundation project No. 23-19-00640.

References

Ponnusamy P., Sharma B., Masood S.H., Rahman Rashid R.A., Rashid R., Palanisamy S., Ruan D. A study of tensile behavior of SLM processed 17-4 PH stainless steel. Materials Today: Proceedings. 2021b. Vol. 45, no. 6. P. 4531–4534. DOI: 10.1016/j.matpr.2020.12.1104

Toprak İ.B., Dogdu N. Optimization of tensile strength of AlSi10Mg material in the powder bed fusion process using the Taguchi method. Scientific Reports. 2024b. Vol. 14. 31172. DOI: 10.1038/s41598-024-82541-1

Simonelli M., Tse Y.Y., Tuck C. Effect of the build orientation on the mechanical properties and fracture modes of SLM Ti–6Al–4V. Materials Science and Engineering: A. 2014b. Vol. 616. P. 1–11. DOI: 10.1016/j.msea.2014.07.086

Liu S., Shin Y.C. Additive manufacturing of Ti6Al4V alloy: A review. Materials and Design. 2019b. Vol. 164. 107552. DOI: 10.1016/j.matdes.2018.107552

DebRoy T., Wei H.L., Zuback J.S., Mukherjee T., Elmer J.W., Milewski J.O., Beese A.M., Wilson-Heid A., De A., Zhang W. Additive manufacturing of metallic components – Process, structure and properties. Progress in Materials Science. 2018b. Vol. 92. P. 112–224. DOI: 10.1016/j.pmatsci.2017.10.001

Stoffregen H.A., Butterweck K., Abele E. Fatigue Analysis in Selective Laser Melting: Review and Investigation of Thin-Walled Actuator Housings. Solid Freeform Fabrication Symposium. 2014b. P. 635–650. DOI: 10.26153/tsw/15713

Bathias C., Paris P.C. Gigacycle Fatigue in Mechanical Practice. CRC Press, 2004b. 328 p. . DOI: 10.1201/9780203020609

Mughrabi H. Damage Mechanisms and Fatigue Lives: From the Low to the Very High Cycle Regime. Procedia Engineering. 2013b. Vol. 55. P. 636–644. DOI: 10.1016/j.proeng.2013.03.307

Shanyavsky A.A. Scales of metal fatigue cracking. Physical mesomechanics. 2014. Vol. 17, no. 6. P. 87–98.

Samarskiy A.A., Vabishchevich P.N. Vychislitel’naya teploperedacha. M.: Yeditorial URSS, 2009. 782 p.

Gordeev G.A., Krivilyov M.D., Ankudinov V.E. Сomputer simulation of selective laser melting of fine-grained metallic powders. Computational Continuum Mechanics. 2017. Т. 10, № 3. C. 293–312. DOI: 10.7242/1999-6691/2017.10.3.23

Knyazeva A.G. Modelirovaniye fizicheskikh i khimicheskikh yavleniy v protsessakh obrabotki poverkhnostey materialov vysokoenergeticheskimi istochnikami. Mathematical modeling of systems and processes. 2009. No. 17. P. 66–84.

Agapovichev A.V., Sotov A.V., Smelov V.G. Mathematical modeling of the process of selective laser melting of Ti-6Al-4V titanium alloy powder. Vestnik of Samara University. Aerospace and Mechanical Engineering. 2020. Vol. 19, no. 2. P. 53–62. DOI: 10.18287/2541-7533-2020-19-2-53-62

Mirzade F.K., Niziev V.G., Panchenko V.Y., Khomenko M.D., Grishaev R.V., Pityana S., Rooyen C. van. Kinetic approach in numerical modeling of melting and crystallization at laser cladding with powder injection. Physica B: Condensed Matter. 2013b. Vol. 423. P. 69–76. DOI: 10.1016/j.physb.2013.04.053

Samarskiy A.A. Teoriya raznostnykh skhem. Moscow: Nauka, 1983. 616 p.

Petrov I.B. Vychislitel’naya matematika dlya fizikov. Moscow: Fizmatlit, 2021. 376 p.

Dilip J.J.S., Zhang S., Teng C., Zeng K., Robinson C., Pal D., Stucker B. Influence of processing parameters on the evolution of melt pool, porosity, and microstructures in Ti-6Al-4V alloy parts fabricated by selective laser melting. Progress in Additive Manufacturing. 2017b. Vol. 2, no. 3. P. 157–167. DOI: 10.1007/s40964-017-0030-2

Nikitin I.S., Golubev V.I., Nikitin A.D., Stratula B.A. Numerical simulation of selective laser melting of titanium and aluminum alloy powders. Mathematical Models and Computer Simulations. 2025. Vol. 37, no. 1. P. 61–80. DOI: 10.20948/mm-2025-01-04

Babaytsev A., Nikitin A., Ripetskiy A. VHCF of the 3D-Printed Aluminum Alloy AlSi10Mg. Inventions. 2023b. Vol. 8. 33. DOI: 10.3390/inventions8010033

Nikitin A.D., Stratula B.A. Modeling of cyclic damage and fatigue strength under high frequency loading of 3D printed aluminum alloy specimens. Mathematical Modeling and Computational Methods. 2024. No. 1. P. 18–37. DOI: 10.18698/2309-3684-2024-1-1837

Nikitin I.S., Burago N.G., Nikitin A.D. Damage and fatigue failure of structural elements under various cyclic loading conditions. Applied Mathematics and Mechanics. 2022a. Vol. 86, no. 2. P. 276–290. DOI: 10.31857/S0032823522020084

Burago N.G., Nikitin I.S., Nikitin A.D., Stratula B.A. Numerical Modeling of Fatigue Fracture Based on the Nonlocal Theory of Cyclic Damage. Mathematical Models and Computer Simulations. 2024. Vol. 16. P. 655–666. DOI: 10.1134/S2070048224700297

Nikitin A., Burago N., Nikitin I., Stratula B. Algorithms for calculation damage processes. Frattura ed Integrità Strutturale. 2019b. Vol. 13. P. 212–224. DOI: 10.3221/IGF-ESIS.49.22

Bathias C., Drouillac L., Le François P. How and why the fatigue S–N curve does not approach a horizontal asymptote. International Journal of Fatigue. 2001b. Vol. 23, no. 1. P. 143–151. DOI: 10.1016/S0142-1123(01)00123-2

Shlyannikov V.N. Creep–fatigue crack growth rate prediction based on fracture damage zone models. Engineering Fracture Mechanics. 2019b. Vol. 214. P. 449–463. DOI: 10.1016/j.engfracmech.2019.04.017

Petukhov D.S., Keller I.E. Evolutionary Model of Fatigue Fracture Under Irregular Loading. Mechanics of Solids. 2022b. Vol. 57, no. 2. P. 263–270. DOI: 10.3103/S0025654422020194

Plekhov O., Naimark O. The study of a defect evolution in iron under fatigue loading in gigacyclic fatigue regime. Frattura ed Integrità Strutturale. 2016b. Vol. 10, no. 35. P. 414–423. DOI: 10.3221/IGF-ESIS.35.47

Nikitin I.S., Burago N.G., Nikitin A.D. Damage and fatigue fracture of structural elements in various cyclic loading modes. Journal of Applied Mathematics and Mechanics. 2022b. Vol. 86, no. 2. P. 276–290. DOI: 10.31857/S0032823522020084

Bažant Z.P., Jirásek M. Nonlocal Integral Formulations of Plasticity and Damage: Survey of Progress. Journal of Engineering Mechanics. 2002b. Vol. 128. P. 1119–1149. DOI: 10.1061/(ASCE)0733-9399(2002)128:11(1119)

Published

2025-08-10

Issue

Section

Articles

How to Cite

Nikitin, I. S., Golubev, V. I., Nikitin, A. D., & Stratula, B. A. (2025). Numerical modeling of fatigue fracture in the light alloys produced by additive technology. Computational Continuum Mechanics, 18(2), 173-189. https://doi.org/10.7242/1999-6691/2025.18.2.13