Abstract
In recent years, technology to properly repair damage detected during periodic inspections has been necessary to continue to use aging infrastructure. In the past, weld overlay repair was the most common repair technique. This study examined the possibility of laser direct energy deposition (LDED) repair technology, and its tensile and fatigue strength properties were compared to other typical repair methods. The LDED technique was found to be superior to other repair methods in terms of interfacial strength and mechanical properties. In this study, a finite-element (FE) simulation was performed by combining the heat conduction equation involving the liquid-/solid-phase transformation and the Chaboche-type inelastic constitutive equation. The LDED process was modeled by defining the deposition layer as a virtual rectangular region and allowing the stiffness and thermal properties of the region to overlap the laser irradiation region. The results showed that the temperature history and strain behavior estimated from the FE results are in good agreement with the experimental results. It was also confirmed that the residual stresses formed in the deposited layer were slightly above the yield strength of the base material, which were significantly lower than those formed by the weld overlay.
This is a preview of subscription content, access via your institution.
















References
S.G. Chowdhury, N.K. Mukhopadhyay, G. Das, S.K. Das, and D.K. Bhattacharya, Failure Analysis of a Weld Repaired Steam Turbine Casing, Eng. Fail. Anal., 1998, 5(3), p 205-218.
P. Dong, J.K. Hong, and P.J. Bouchard, Analysis of Residual Stresses at Weld Repairs, Int. J. Press. Vessels Pip., 2005, 82(4), p 258-269.
K. Sakamoto, M. Arai, and T. Suidzu, Study on Strength Properties of Material Repaired by Atmospheric Plasma Spraying Under Tensile Load, Trans. JSME, 2015, 81(830), p 14-00559. https://doi.org/10.1299/transjsme.14-00559 (in Japanese)
M. Arai and T. Suidzu, Tensile and Fatigue Strength of SUS304 Stainless Steel Repaired by a High Velocity-Oxy Fuel Thermal Spraying, Trans. JSME, 2018, 84(863), p 1-11. https://doi.org/10.1299/transjsme.18-00016 (in Japanese)
K. Ito, K. Inada, M. Arai, T. Fukushi, H. Yokota, and T. Suidzu, High-Temperature Tensile and Fatigue Strength Properties of Stainless Steel Repaired by Laser Metal Deposition Method, Trans. JSME, 2021, 87(898), p 1-15. https://doi.org/10.1299/transjsme.21-00092 (in Japanese)
S. Wen and Y.C. Shin, Modeling of Transport Phenomena During the Coaxial Laser Direct Deposition Process, J. Appl. Phys., 2010, 108(4), p 044908. https://doi.org/10.1063/1.3474655
K. Ren, Y. Chew, J.Y.H. Fuh, Y.F. Zhang, and G.J. Bi, Thermo-Mechanical Analyses for Optimized Path Planning in Laser Aided Additive Manufacturing Processes, Mater. Des., 2019, 162, p 80-93.
M. Megahed, H.-W. Mindt, N. N’Dri, H. Duan, and O. Desmaison, Metal Additive-Manufacturing Process and Residual Stress Modeling, Integr. Mater. Manuf Innov., 2016, 5(1), p 61-93. https://doi.org/10.1186/s40192-016-0047-2
T. Mukherjee, W. Zhang, and T. DebRoy, An Improved Prediction of Residual Stresses and Distortion in Additive Manufacturing, Comput. Mater. Sci., 2017, 126, p 360-372. https://doi.org/10.1016/j.commatsci.2016.10.003
N. Pirch, M. Niessen, S. Linnenbrink, T. Schopphoven, A. Gasser, R. Poprawe, C. Schöler, D. Arntz, and W. Schulz, Temperature Field and Residual Stress Distribution for Laser Metal Deposition, J. Laser Appl., 2018, 30(3), p 032503. https://doi.org/10.2351/1.5040634
L. Yan, Y. Zhang, and F. Liou, A Conceptual Design of Residual Stress Reduction with Multiple Shape Laser Beams in Direct Laser Deposition, Finite Elem. Anal. Des., 2018, 144, p 30-37. https://doi.org/10.1016/j.finel.2018.02.004
E. Mirkoohi, J.R. Dobbs, and S.Y. Liang, Analytical Modeling of Residual Stress in Direct Metal Deposition Considering Scan Strategy, Int. J. Adv. Manuf. Technol., 2020, 106(9–10), p 4105-4121. https://doi.org/10.1007/s00170-019-04919-0
C. Vundru, R. Singh, W. Yan, and S. Karagadde, The Effect of Martensitic Transformation on the Evolution of Residual Stresses and Identification of the Critical Linear Mass Density in Direct Laser Metal Deposition-Based Repair, J. Manuf. Sci. Eng., 2020, 142, p 071003. https://doi.org/10.1115/1.4024195
F.E. Bock, J. Herrnring, M. Froend, J. Enz, N. Kashaev, and B. Klusemann, Experimental and Numerical Thermo-Mechanical Analysis of Wire-Based Laser Metal Deposition of Al-Mg Alloys, J. Manuf. Process., 2021, 64, p 982-995. https://doi.org/10.1016/j.jmapro.2021.02.016
J.L. Chaboche, Constitutive Equations for Cyclic Plasticity and Cyclic Viscoplasticity, Int. J. Plast., 1989, 5(3), p 247-302.
T. Inoue and K. Tanaka, An Elastic-Plastic Stress Analysis of Quenching When Considering a Transformation, Int. J. Mech. Sci., 1975, 17(5), p 361-367.
P. Knysh and Y.P. Korkolis, Determination of the Fraction of Plastic Work Converted into Heat in Metals, Mech. Mater., 2015, 86, p 71-80.
C. Lampa, A.F.H. Kaplan, J. Powell, and C. Magnusson, An Analytical Thermodynamic Model of Laser Welding, J. Phys. Part D Appl. Phys., 1997, 30(9), p 1293-1299.
D.-Y. Ju, C. Liu, and T. Inoue, Numerical Modeling and Simulation of Carburized and Nitrided Quenching Process, J. Mater. Process. Technol., 2003, 143–144, p 880-885.
D. Deng, C. Zhang, X. Pu, and W. Liang, Influence of Material Model on Prediction Accuracy of Welding Residual Stress in an Austenitic Stainless Steel Multi-pass Butt-Welded Joint, J. Mater. Eng. Perform., 2017, 26(4), p 1494-1505.
H. Liu, T. Sparks, F. Liou, and D. M. Dietrich, Residual stress and deformation modelling for metal additive manufacturing processes, in Proceedings of the World Congress on Mechanical, Chemical, and Material Engineering, Barcelona, Spain—July 20–21, 2015 Paper No. 245, MCM, 2015, p. 245-1-9.
H. Liu and F. Liou, Residual stress modeling and deformation measurement in laser metal deposition process, New Challenges in Residual Stress Measurements and Evaluation. C. Casavola, C. Barile, V. Moramarco, G. Pappalettera Ed., IntechOpen, 2019, p 1-20. https://doi.org/10.5772/intechopen.90539
X.-F. Xie, W. Jiang, Y. Luo, S. Xu, J.-M. Gong, and S.-T. Tu, A Model to Predict the Relaxation of Weld Residual Stress by Cyclic Load: Experimental and Finite Element Modeling, Int. J. Fatigue, 2017, 95, p 293-301. https://doi.org/10.1016/j.ijfatigue.2016.11.011
A. Sakuma and T. Inoue, Simulation of Structural Change in HAZ and Viscoplastic Stresses During Welding Process of SUS304 Steel, Trans. Jpn. Soc. Mech. Eng. Ser. A, 1995, 61(583), p 620-625. (in Japanese)
K. Ito and M. Arai, Simple Estimation Method for Strain Rate Sensitivity Based on the Difference Between the Indentation Sizes Formed by Spherical-Shaped Impactors, Int. J. Mech. Sci., 2021, 189(1), p 106007. https://doi.org/10.1016/j.ijmecsci.2020.106007
H. Matsui, D.-Y. Ju, and T. Inoue, Inelastic Behavior and Unified Constitutive Equations of SUS304 Steel at High Temperature, J. Soc. Mater. Sci. Jpn., 1992, 41(466), p 1153-1159. (in Japanese)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Arai, M., Muramatsu, T., Ito, K. et al. Three-Dimensional Numerical Simulation of Repairing Process by Laser Direct Energy Deposition. J Therm Spray Tech 32, 111–123 (2023). https://doi.org/10.1007/s11666-022-01499-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11666-022-01499-6
Keywords
- finite-element analysis
- heat transfer equation
- inelastic constitutive equation
- laser direct energy deposition
- process simulation
- phase transformation
- repairing technology