Research Papers: Applications

A Numerical Investigation Into Cold Spray Bonding Processes

[+] Author and Article Information
Baran Yildirim, Teiichi Ando, Andrew Gouldstone

Department of Mechanical Engineering,
Northeastern University,
Boston, MA 02115

Hirotaka Fukanuma

Plasma Giken Co., Ltd.,
4-1 Imaichi, Yoriimachi, Osato-gun,
Saitama 369-1214, Japan

Sinan Müftü

Department of Mechanical Engineering,
Northeastern University,
Boston, MA 02115
e-mail: s.muftu@neu.edu

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received March 10, 2014; final manuscript received July 11, 2014; published online October 3, 2014. Assoc. Editor: George K. Nikas.

J. Tribol 137(1), 011102 (Oct 03, 2014) (13 pages) Paper No: TRIB-14-1053; doi: 10.1115/1.4028471 History: Received March 10, 2014; Revised July 11, 2014

Specific mechanisms underlying the critical velocity in cold gas particle spray applications are still being discussed, mainly due to limited access to in situ experimental observation and the complexity of modeling the particle impact process. In this work, particle bonding in the cold spray (CS) process was investigated by the finite element (FE) method. An effective interfacial cohesive strength parameter was defined in the particle–substrate contact regions. Impact of four different metals was simulated, using a range of impact velocities and varying the effective cohesive strength values. Deformation patterns of the particle and the substrate were characterized. It was shown that the use of interfacial cohesive strength leads to a critical particle impact velocity that demarcates a boundary between rebounding and bonding type responses of the system. Such critical bonding velocities were predicted for different interfacial cohesive strength values, suggesting that the bonding strength in particle–substrate interfaces could span a range that depends on the surface conditions of the particle and the substrate. It was also predicted that the quality of the particle bonding could be increased if the impact velocity exceeds the critical velocity. A method to predict a lower bound for the interfacial bonding energy was also presented. It was shown that the interfacial bonding energy for the different materials considered would have to be at least on the order of 10–60 J/m2 for cohesion to take place. The general methodology presented in this work can be extended to investigate various materials and impact conditions.

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Alkhimov, A. P., Papyrin, A. N., Kosarev, V. F., Nestorovich, N. I., and Shuspanov, M. M., 1994, “Gas Dynamic Spraying Method for Applying a Coating,” U.S. Patent No. US5302414.
Tokarev, A. O., 1996, “Structure of Aluminum Powder Coatings Prepared by Cold Gas Dynamic Spraying,” Metal Sci. Heat Treat., 38(3–4), pp. 136–139. [CrossRef]
Spencer, K., and Zhang, M. X., 2008, “The Emergence of Cold Spray as a Tool for Surface Modification,” Key Eng. Mater., 384, pp. 61–74. [CrossRef]
Dykhuizen, R. C., Smith, M. F., Gilmore, D. L., Neiser, R. A., Jiang, X., and Sampath, S., 1999, “Impact of High Velocity Cold Spray Particles,” J. Therm. Spray Technol., 8(4), pp. 559–564. [CrossRef]
Assadi, H., Gartner, F., Stoltenhoff, T., and Kreye, H., 2003, “Bonding Mechanism in Cold Gas Spraying,” Acta Mater., 51(15), pp. 4379–4394. [CrossRef]
Schmidt, T., Gartner, F., Assadi, H., and Kreye, H., 2006, “Development of a Generalized Parameter Window for Cold Spray Deposition,” Acta Mater., 54(3), pp. 729–742. [CrossRef]
Grujicic, M., Zhao, C. L., DeRosset, W. S., and Helfritch, D., 2004, “Adiabatic Shear Instability Based Mechanism for Particles/Substrate Bonding in the Cold-Gas Dynamic-Spray Process,” Mater. Des., 25(8), pp. 681–688. [CrossRef]
Barradas, S., Guipont, V., Molins, R., Jeandin, M., Arrigoni, M., Boustie, M., Bolis, C., Berthe, L., and Ducos, M., 2007, “Laser Shock Flier Impact Simulation of Particle–Substrate Interactions in Cold Spray,” J. Therm. Spray Technol., 16(4), pp. 548–556. [CrossRef]
Guetta, S., Berger, M. H., Borit, F., Guipont, V., Jeandin, M., Boustie, M., Ichikawa, Y., Sakaguchi, K., and Ogawa, K., 2009, “Influence of Particle Velocity on Adhesion of Cold-Sprayed Splats,” J. Therm. Spray Technol., 18(3), pp. 331–342. [CrossRef]
Grujicic, M., Saylor, J. R., Beasley, D. E., DeRosset, W. S., and Helfritch, D., 2003, “Computational Analysis of the Interfacial Bonding Between Feed-Powder Particles and the Substrate in the Cold-Gas Dynamic-Spray Process,” Appl. Surf. Sci., 219(3–4), pp. 211–227. [CrossRef]
Hussain, T., McCartney, D. G., Shipway, P. H., and Zhang, D., 2009, “Bonding Mechanisms in Cold Spraying: The Contributions of Metallurgical and Mechanical Components,” J. Therm. Spray Technol., 18(3), pp. 364–379. [CrossRef]
Yokoyama, K., Watanabe, M., Kuroda, S., Gotoh, Y., Schmidt, T., and Gartner, F., 2006, “Simulation of Solid Particle Impact Behavior for Spray Processes,” Mater. Trans., 47(7), pp. 1697–1702. [CrossRef]
Bae, G., Xiong, Y., Kumar, S., Kang, K., and Lee, C., 2008, “General Aspects of Interface Bonding in Kinetic Sprayed Coatings,” Acta Mater., 56(17), pp. 4858–4868. [CrossRef]
Zhang, X., Wang, X., Li, Y., and Chen, G., 2006, “Numerical Investigations on Effects of Impact Velocity and Spray Angle of Particle on Its Deformation Behavior in Cold Spraying,” Surf. Rev. Lett., 13(5), pp. 613–620. [CrossRef]
Li, G., Wang, X.-F., and Li, W.-Y., 2007, “Effect of Different Incidence Angles on Bonding Performance in Cold Spraying,” Trans. Nonferrous Metals Soc. China (Engl. Ed.), 17(1), pp. 116–121. [CrossRef]
Li, W.-Y., Yin, S., and Wang, X.-F., 2010, “Numerical Investigations of the Effect of Oblique Impact on Particle Deformation in Cold Spraying by the SPH Method,” Appl. Surf. Sci., 256(12), pp. 3725–3734. [CrossRef]
Li, W.-Y., Liao, H., Li, C.-J., Li, G., Coddet, C., and Wang, X., 2006, “On High Velocity Impact of Micro-Sized Metallic Particles in Cold Spraying,” Appl. Surf. Sci., 253(5), pp. 2852–2862. [CrossRef]
Yildirim, B., Müftü, S., and Gouldstone, A., 2011, “Modeling of High Velocity Impact of Spherical Particles,” Wear, 270(9–10), pp. 703–713. [CrossRef]
Yin, S., Wang, X.-F., Li, W. Y., and Jie, H.-E., 2011, “Effect of Substrate Hardness on the Deformation Behavior of Subsequently Incident Particles in Cold Spraying,” Appl. Surf. Sci., 257(17), pp. 7560–7565. [CrossRef]
Bae, G., Kumar, S., Yoon, S., Kang, K., Na, H., Kim, H.-J., and Lee, C., 2009, “Bonding Features and Associated Mechanisms in Kinetic Sprayed Titanium Coatings,” Acta Mater., 57(19), pp. 5654–5666. [CrossRef]
Yin, S., Wang, X.-F., Xu, B.-P., and Li, W.-Y., 2010, “Examination on the Calculation Method for Modeling the Multi-Particle Impact Process in Cold Spraying,” J. Therm. Spray Technol., 19(5), pp. 1032–1041. [CrossRef]
Zhou, X.-L., Wu, X.-K., Guo, H.-H., Wang, J.-G., and Zhang, J.-S., 2010, “Deposition Behavior of Multi-Particle Impact in Cold Spraying Process,” Int. J. Miner., Metall. Mater., 17(5), pp. 635–640. [CrossRef]
Schmidt, T., Assadi, H., Gartner, F., Richter, H., Stoltenhoff, T., Kreye, H., and Klassen, T., 2009, “From Particle Acceleration to Impact and Bonding in Cold Spraying,” J. Therm. Spray Technol., 18(5–6), pp. 794–808. [CrossRef]
Li, W.-Y., Liao, H., Li, C.-J., Bang, H.-S., and Coddet, C., 2007, “Numerical Simulation of Deformation Behavior of Al Particles Impacting on Al Substrate and Effect of Surface Oxide Films on Interfacial Bonding in Cold Spraying,” Appl. Surf. Sci., 253(11), pp. 5084–5091. [CrossRef]
Kumar, S., Bae, G., and Lee, C., 2009, “Deposition Characteristics of Copper Particles on Roughened Substrates Through Kinetic Spraying,” Appl. Surf. Sci., 255(6), pp. 3472–3479. [CrossRef]
Kumar, S., Gyuyeol, B., Kicheol, K., Sanghoon, Y., and Changhee, L., 2009, “Effect of Powder State on the Deposition Behavior and Coating Development in Kinetic Spray Process,” J. Phys. D: Appl. Phys., 42(7), p. 075305. [CrossRef]
Yuan, X., Zha, B., Hou, G., Hou, P., Jiang, L., and Wang, H., 2009, “Multiscale Model on Deposition Behavior of Agglomerate Metal Particles in a Low-Temperature High-Velocity Air Fuel Spraying Process,” J. Therm. Spray Technol., 18(3), pp. 411–420. [CrossRef]
Li, C.-J., Li, W.-Y., and Liao, H., 2006, “Examination of the Critical Velocity for Deposition of Particles in Cold Spraying,” J. Therm. Spray Technol., 15(2), pp. 212–222. [CrossRef]
Kawakita, J., Katanoda, H., Watanabe, M., Yokoyama, K., and Kuroda, S., 2008, “Warm Spraying: An Improved Spray Process to Deposit Novel Coatings,” Surf. Coat. Technol., 202(18), pp. 4369–4373. [CrossRef]
Manap, A., Okabe, T., and Ogawa, K., 2011, “Computer Simulation of Cold Sprayed Deposition Using Smoothed Particle Hydrodynamics,” Procedia Eng., 10, pp. 1145–1150. [CrossRef]
Detemple, K., Kanert, O., De Hossen, J. T. M., and Murty, K. L., 1995, “In Situ Nuclear Magnetic Resonance Investigation of Deformation-Generated Vacancies in Aluminum,” Phys. Rev. B, 52(1), pp. 125–133. [CrossRef]
Gunduz, I. E., 2006, “A Fundamental Study of Metal Structures and Properties in Ultrasonic Welding,” PhD thesis, Northeastern University, Boston, MA.
Mecking, H., and Estrin, Y., 1980, “The Effect of Vacancy Generation on Plastic Deformation,” Scr. Metall., 14(7), pp. 815–819. [CrossRef]
Murty, K., Detemple, K., Kanert, O., and De Hosson, J. T. M., 1998, “In-Situ NMR Investigation of Strain, Temperature and Strain-Rate Variations of Deformation-Induced Vacancy Concentration in Aluminum,” Metall. Mater. Trans. A, 29(1), pp. 153–159. [CrossRef]
Papyrin, A., 2007, Cold Spray Technology, Elsevier, Amsterdam. p. 84.
Osipov, K. A., 1964, Activation Processes in Solid Metals and Alloys, American Elsevier Publishing Company, NY (translated by Scripta Technica Inc.).
Murr, L. E., 1975, Interfacial Phenomena in Metals and Alloys, Addison-Wesley Publishing Company, Reading, MA.
Abaqus, 2009, ABAQUS 6.9 User Manual, Dassault Systèmes, Waltham, MA.
Seagraves, A., and Radovitzky, R., 2010, “Advances in Cohesive Zone Modeling of Dynamic Fracture,” Dynamic Failure of Materials and Structures, A.Shukla, G.Ravichandran, and Y. D. S.Rajapakse, eds., Springer, Berlin, Germany, pp. 349–405.
Rice, J. R., 1968, “Mathematical Analysis in the Mechanics of Fracture,” Fracture: An Advanced Treatise, Vol 2, H.Liebowitz, ed., Academic, NY, pp. 191–311.
Johnson, G. R., and Cook, W. H., 1983, “A Constitutive Model and Data for Metals Subjected to Large Strains, High Strain Rates and High Temperature,” Proceedings of Seventh International Symposium on Ballistics, The Hague, The Netherlands, Apr. 19–21, pp. 541–547.
Grujicic, M., Pandurangan, B., Yen, C.-F., and Cheeseman, B. A., 2012, “Modifications in the AA5083 Johnson–Cook Material Model for Use in Friction Stir Welding Computational Analyses,” J. Mater. Eng. Perform., 21(11), pp. 2207–2217. [CrossRef]
Meyers, M. A., 1994, Dynamic Behavior of Materials, Wiley, NY.
Mpdb, 2003, Mpdb Software, version 7.01 Demo, JAHM Software, Inc., North Reading, MA.
Gupta, N. K., Iqbal, M. A., and Sekhon, G. S., 2006, “Experimental and Numerical Studies on the Behavior of Thin Aluminum Plates Subjected to Impact by Blunt- and Hemispherical-Nosed Projectiles,” Int. J. Impact Eng., 32(12), pp. 1921–1944. [CrossRef]
Chandrasekaran, H., M'Saoubi, R., and Chazal, H., 2005, “Modelling of Material Flow Stress in Chip Formation Process From Orthogonal Milling and Split Hopkinson Bar Tests,” Mach. Sci. Technol., 9(1), pp. 131–145. [CrossRef]
Nemat-Nasser, S., Guo, W. G., and Cheng, J. Y., 1999, “Mechanical Properties and Deformation Mechanisms of a Commercially Pure Titanium,” Acta Mater., 47(13), pp. 3705–3720. [CrossRef]
Molinari, J. F., and Ortiz, M., 2002, “A Study of Solid-Particle Erosion of Metallic Targets,” Int. J. Impact Eng., 27(4), pp. 347–358. [CrossRef]
Zhou, X., Wu, X., Wang, J., and Zhang, J., 2011, “Numerical Investigation of the Rebounding and the Deposition Behavior of Particles During Cold Spraying,” Acta Metall. Sinica (Engl. Lett.), 24(1), pp. 43–53.
Li, C. J., Wang, H. T., Zhang, Q., Yang, G. J., Li, W. Y., and Liao, H. L., 2010, “Influence of Spray Materials and Their Surface Oxidation on the Critical Velocity in Cold Spraying,” J. Therm. Spray Technol., 19(1–2), pp. 95–101. [CrossRef]
Van Steenkiste, T. H., Smith, J. R., and Teets, R. E., 2002, “Aluminum Coatings via Kinetic Spray With Relatively Large Powder Particles,” Surf. Coat. Technol., 154(2–3), pp. 237–252. [CrossRef]
Kang, K., Yoon, S., Ji, Y., and Lee, C., 2008, “Oxidation Dependency of Critical Velocity for Aluminum Feedstock Deposition in Kinetic Spraying Process,” Mater. Sci. Eng. A, 486(1–2), pp. 300–307. [CrossRef]
Marrocco, T., McCartney, D. G., Shipway, P. H., and Sturgeon, A. J., 2006, “Production of Titanium Deposits by Cold-Gas Dynamic Spray: Numerical Modeling and Experimental Characterization,” J. Therm. Spray Technol., 15(2), pp. 263–272. [CrossRef]
Gartner, F., Stoltenhoff, T., Schmidt, T., and Kreye, H., 2006, “The Cold Spray Process and Its Potential for Industrial Applications,” J. Therm. Spray Technol., 15(2), pp. 223–232. [CrossRef]
Ning, X.-J., Jang, J.-H., and Kim, H.-J., 2007, “The Effects of Powder Properties on In-Flight Particle Velocity and Deposition Process During Low Pressure Cold Spray Process,” Appl. Surf. Sci., 253(18), pp. 7449–7455. [CrossRef]
Van Steenkiste, T. H., Smith, J. R., Teets, R. E., Moleski, J. J., Gorkiewicz, D. W., Tison, R. P., Marantz, D. R., Kowalsky, K. A., Riggs, W. L., II, Zajchowski, P. H., Pilsner, B., McCune, R. C., and Barnett, K. J., 1999, “Kinetic Spray Coatings,” Surf. Coat. Technol., 111(1), pp. 62–71. [CrossRef]
Gilmore, D. L., Dykhuizen, R. C., Neiser, R. A., Roemer, T. J., and Smith, M. F., 1999, “Particle Velocity and Deposition Efficiency in the Cold Spray Process,” J. Therm. Spray Technol., 8(4), pp. 576–582. [CrossRef]
Yildirim, B., and Müftü, S., 2012, “Impact of High Velocity Particles Onto a Rough Surface,” Int. J. Solids Struct., 49(11–12), pp. 1375–1386. [CrossRef]
Goldbaum, D., Shockley, J. M., Chromik, R. R., Rezaeian, A., Yue, S., Legoux, J.-G., and Irissou, E., 2012, “The Effect of Deposition Conditions on Adhesion Strength of Ti and Ti6Al4V Cold Spray Splats,” J. Therm. Spray Technol., 21(2), pp. 288–303. [CrossRef]
Kim, K., Watanabe, M., Mitsuishi, K., Iakoubovskii, K., and Kuroda, S., 2009, “Impact Bonding and Rebounding Between Kinetically Sprayed Titanium Particle and Steel Substrate Revealed by High-Resolution Electron Microscopy,” J. Phys. D: Appl. Phys., 42(6), p. 065304. [CrossRef]
KeeHyun, K., Watanabe, M., and Kuroda, S., 2010, “Bonding Mechanisms of Thermally Softened Metallic Powder Particles and Substrates Impacted at High Velocity,” Surf. Coat. Technol., 204(14), pp. 2175–2180. [CrossRef]
Johnson, K. L., 1985, Contact Mechanics, Cambridge University, Cambridge, UK.


Grahic Jump Location
Fig. 1

Mesh structure and the schematic view of the FE model. Average mesh size around the impact region is dP/25.

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Fig. 2

Adiabatic stress–strain curves for each material at ɛ· = 107 based on the JC model (model parameters are provided in Table 2)

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Fig. 5

Calculated critical velocities (solid lines) for a dP = 25 μm particle for each particle–substrate material system along with the experimental results from literature (hollow circles). In (a), calculated critical velocities for different particles sizes are marked with solid triangles. Experimental data are taken from Refs. [5,6,23,28,50].

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Fig. 6

Time evolution of the contact area at different impact velocities (a) and effective cohesive strength values (b). (c) Area in contact (shown in dark gray) at different times for impact with VP = 750 m/s and σc = 400 MPa. Bonded area is the region that stays in contact during the entire duration of rebound phase. Particle and substrate materials are titanium.

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Fig. 4

Rebound kinetic energy of the particle (KER) for different effective cohesive strength values. Critical velocity is the velocity at which KER of the particle goes to zero. Notice the scale change of vertical axis in (a) and (f).

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Fig. 3

Deformation and plastic strain distributions for (a) copper, (b) aluminum, (c) 316 L steel, (d) titanium, (e) Cu-on-Al, and (f) Al-on-Cu at t = 200 ns for different impact velocities. Rebound/bonding behavior of the particle for σc = 200 MPa is shown. Note that simulations with different σc values show that it has no or little effect on the particle and substrate deformation patterns. Particle bonding is observed at (a-2), (a-3), (b-4), (c-4), (d-4), (f-3), and (f-4). Particle entrapment due to mechanical interlocking can be seen in (e-2) and (e-3).

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Fig. 10

Compression ratio (CR), normalized crater depth (CD), rebound velocity and maximum temperature for different mesh sizes

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Fig. 11

Deformed mesh structure of the particle and the substrate (a), and rebound velocity as a function of particle impact velocity (b) for failure strains εf = 1, εf = 2, and no failure condition (εf = ∞). Particle and substrate are both copper.

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Fig. 7

(a) The normalized contact area (A¯c = Ac/2πdp2) and (b) the lower bound of the interfacial bonding energy, predicted by using the results of σc = 0, as a function of the damage parameter (ρVp2/2Y). The ratio of the kinetic energy of rebound to contact area (KER/Ac) is used as the lower bound of the interfacial bonding energy. The density and the dynamic yield stress values (ρ,Y) used in this analysis are (8940 kg/m3, 401 MPa) for copper, (4500 kg/m3, 959 MPa) for titanium, (2710 kg/m3, 391 MPa) for aluminum, and (8000 kg/m3, 829 MPa) for steel.

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Fig. 8

The effects of COF on (a) compression ratio, (b) normalized crater depth, and (c) rebound velocity

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Fig. 9

The effects of COF on the total interfacial contact force due to contact pressure and frictional stresses for the cases COF = 0.1 and COF = 0.9, at 400 m/s impact



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