SPH modeling of adhesion in fast dynamics: Application to the Cold Spray process

Paul Profizi; Alain Combescure; Kahuziro Ogawa

doi:10.1016/j.crme.2016.02.001

SPH modeling of adhesion in fast dynamics: Application to the Cold Spray process

Paul Profizi ^1,²; Alain Combescure ^1,³ ; Kahuziro Ogawa ²

¹ LaMCoS UMR 5259, INSA LYON, 18-20 Allée des sciences, 69621 Villeurbanne, France
² Fracture and Reliability Research Institute, Tohoku University, 6-6-1, Aramaki, Aoba-ku, Sendai, 980-8573, Miyagi, Japan
³ AREVA–SAFRAN chair, France

Comptes Rendus. Mécanique, Computational simulation of manufacturing processes, Volume 344 (2016) no. 4-5, pp. 211-224.

Abstract

The objective of this paper is to show, in a specific case, the importance of modeling adhesive forces when simulating the bouncing of very small particles impacting a substrate at high speed. The implementation of this model into a fast-dynamics SPH code is described. Taking the example of an impacted elastic cylinder, we show that the adhesive forces, which are surface forces, play a significant role only if the particles are sufficiently small. The effect of the choice of the type of interaction law in the cohesive zone is studied and some conclusions on the relevance of the modeling of the adhesive forces for fast-dynamics impacts are drawn. Then, the adhesion model is used to simulate the Cold Spray process. An aluminum particle is projected against a substrate made of the same material at a velocity ranging from 200 to $1000 m \cdot s^{- 1}$ . We study the effects of the various modeling assumptions on the final result: bouncing or sticking. Increasingly complex models are considered. At a $200 m \cdot s^{- 1}$ impact velocity, elastic behavior is assumed, the substrate being simply supported at its base and supplied with absorbing boundaries. The same absorbing boundaries are also used for all the other simulations. Then, plasticity is introduced and the impact velocity is increased up to $1000 m \cdot s^{- 1}$ . At the highest velocities, the resulting strains are very significant. The calculations show that if the adhesion model is appropriately chosen, it is possible to reproduce the experimental observations: the particles stick to the substrate in a range of impact velocities surrounded by two velocity ranges in which the particles bounce.

Received: 2015-09-17
Accepted: 2015-11-15
Published online: 2016-02-08

DOI: 10.1016/j.crme.2016.02.001

Keywords: Adhesive forces, Modeling, Smooth particle hydrodynamics, Cold Spray, Fast dynamics

Author's affiliations:

Paul Profizi ^{1, 2}; Alain Combescure ^{1, 3}; Kahuziro Ogawa ²

¹ LaMCoS UMR 5259, INSA LYON, 18-20 Allée des sciences, 69621 Villeurbanne, France
² Fracture and Reliability Research Institute, Tohoku University, 6-6-1, Aramaki, Aoba-ku, Sendai, 980-8573, Miyagi, Japan
³ AREVA–SAFRAN chair, France

@article{CRMECA_2016__344_4-5_211_0,
     author = {Paul Profizi and Alain Combescure and Kahuziro Ogawa},
     title = {SPH modeling of adhesion in fast dynamics: {Application} to the {Cold} {Spray} process},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {211--224},
     publisher = {Elsevier},
     volume = {344},
     number = {4-5},
     year = {2016},
     doi = {10.1016/j.crme.2016.02.001},
     language = {en},
}

TY  - JOUR
AU  - Paul Profizi
AU  - Alain Combescure
AU  - Kahuziro Ogawa
TI  - SPH modeling of adhesion in fast dynamics: Application to the Cold Spray process
JO  - Comptes Rendus. Mécanique
PY  - 2016
SP  - 211
EP  - 224
VL  - 344
IS  - 4-5
PB  - Elsevier
DO  - 10.1016/j.crme.2016.02.001
LA  - en
ID  - CRMECA_2016__344_4-5_211_0
ER  -

%0 Journal Article
%A Paul Profizi
%A Alain Combescure
%A Kahuziro Ogawa
%T SPH modeling of adhesion in fast dynamics: Application to the Cold Spray process
%J Comptes Rendus. Mécanique
%D 2016
%P 211-224
%V 344
%N 4-5
%I Elsevier
%R 10.1016/j.crme.2016.02.001
%G en
%F CRMECA_2016__344_4-5_211_0

Paul Profizi; Alain Combescure; Kahuziro Ogawa. SPH modeling of adhesion in fast dynamics: Application to the Cold Spray process. Comptes Rendus. Mécanique, Computational simulation of manufacturing processes, Volume 344 (2016) no. 4-5, pp. 211-224. doi : 10.1016/j.crme.2016.02.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.02.001/

References
Cited by

[1] A. Papyrin; V. Kosarev; S. Klinkov; A. Alkimov; V. Fomin Cold Spray Technology, Elsevier, Oxford, 2007 | DOI

[2] D. Gilmore; R. Dykhuizen; R. Neiser; T. Roemer; M. Smith Particle velocity and deposition efficiency in the cold spray process, J. Therm. Spray Technol., Volume 8 (1999) no. 4, pp. 576-582 | DOI

[3] X.-T. Luo; C.-X. Li; F.-L. Shang; G.-J. Yang; Y.-Y. Wang; C.-J. Li High velocity impact induced microstructure evolution during deposition of cold spray coatings: a review, Surf. Coat. Technol., Volume 254 (2014), pp. 11-20 | DOI

[4] H. Assadi; F. Grtner; T. Stoltenhoff; H. Kreye Bonding mechanism in cold gas spraying, Acta Mater., Volume 51 (2003) no. 15, pp. 4379-4394 | DOI

[5] W.-Y. Li; W. Gao Some aspects on 3D numerical modeling of high velocity impact of particles in cold spraying by explicit finite element analysis, Appl. Surf. Sci., Volume 255 (2009) no. 18, pp. 7878-7892 | DOI

[6] J. Xie; D. Nélias; H. Walter-Le Berre; K. Ogawa; Y. Ichikawa Simulation of the cold spray particle deposition process, J. Tribol., Volume 137 (2015) no. 4 | DOI

[7] A. Manap; T. Okabe; K. Ogawa Computer simulation of cold sprayed deposition using smoothed particle hydrodynamics, Proc. Eng., Volume 10 (2011), pp. 1145-1150 | DOI

[8] J. Xie Phd thesis: simulation of cold spray particle deposition process, 2014 http://theses.insa-lyon.fr/publication/2014ISAL0044/these.pdf

[9] W.-Y. Li; S. Yin; X.-F. Wang Numerical investigations of the effect of oblique impact on particle deformation in cold spraying by the {SPH} method, Appl. Surf. Sci., Volume 256 (2010) no. 12, pp. 3725-3734 | DOI

[10] V. Lemiale; P. King; M. Rudman; M. Prakash; P. Cleary; M. Jahedi; S. Gulizia Temperature and strain rate effects in cold spray investigated by smoothed particle hydrodynamics, Surf. Coat. Technol., Volume 254 (2014), pp. 121-130 | DOI

[11] B. Yildirim; H. Fukanuma; T. Ando; A. Gouldstone; S. Müftü A numerical investigation into cold spray bonding processes, J. Tribol., Volume 137 (2015) no. 1

[12] J.J. Monaghan Smoothed particle hydrodynamics, Rep. Prog. Phys., Volume 68 (2005) no. 8, p. 1703

[13] R. Vignjevic; J. Campbell Review of development of the smooth particle hydrodynamics (sph) method (S. Hiermaier, ed.), Predictive Modeling of Dynamic Processes, Springer, US, 2009, pp. 367-396 | DOI

[14] M. Liu; G. Liu Smoothed particle hydrodynamics (sph): an overview and recent developments, Arch. Comput. Methods Eng., Volume 17 (2010) no. 1, pp. 25-76 | DOI

[15] B. Maurel; A. Combescure; S. Potapov A robust sph formulation for solids, Eur. J. Comput. Mech., Volume 15 (2006) no. 5, pp. 495-512 | DOI

[16] F. Caleyron; A. Combescure; V. Faucher; S. Potapov {SPH} modeling of fluidsolid interaction for dynamic failure analysis of fluid-filled thin shells, J. Fluids Struct., Volume 39 (2013), pp. 126-153 | DOI

[17] B. Maurel; A. Combescure An sph shell formulation for plasticity and fracture analysis in explicit dynamics, Int. J. Numer. Methods Eng., Volume 76 (2008) no. 7, pp. 949-971 | DOI

[18] T. Belytschko; M.O. Neal Contact-impact by the pinball algorithm with penalty and Lagrangian methods, Int. J. Numer. Methods Eng., Volume 31 (1991) no. 3, pp. 547-572 | DOI

[19] N. Chandra; H. Li; C. Shet; H. Ghonem Some issues in the application of cohesive zone models for metalceramic interfaces, Int. J. Solids Struct., Volume 39 (2002) no. 10, pp. 2827-2855 | DOI

[20] U. Schwarz A generalized analytical model for the elastic deformation of an adhesive contact between a sphere and a flat surface, J. Colloid Interface Sci., Volume 261 (2003) no. 1, pp. 99-106 | DOI

[21] J. Willis A comparison of the fracture criteria of Griffith and Barenblatt, J. Mech. Phys. Solids, Volume 15 (1967) no. 3, pp. 151-162 | DOI

Cited by Sources:

Comments - Policy