A Morphological Approach to the Modeling of the Cold Spray Process
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A Morphological Approach to the Modeling of the Cold Spray Process F. Delloro1 • M. Jeandin1 • D. Jeulin2 • H. Proudhon1 • M. Faessel2 L. Bianchi3 • E. Meillot4 • L. Helfen5
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Submitted: 8 February 2017 / in revised form: 3 August 2017 Ó ASM International 2017
Abstract A coating buildup model was developed, the aim of which was simulating the microstructure of a tantalum coating cold sprayed onto a copper substrate. To do so, first was operated a fine characterization of the irregular tantalum powder in 3D, using x-ray microtomography and developing specific image analysis algorithms. Particles were grouped by shape in seven classes. Afterward, 3D finite element simulations of the impact of the previously observed particles were realized. To finish, a coating buildup model was developed, based on the results of finite element simulations of particle impact. In its first version, this model is limited to 2D. Keywords cold spray modeling of coating formation process modeling splat morphology tomography List of FE SEM ESRF XMT PAI
Abbreviations Finite elements Scanning electron microscopy European synchrotron radiation facility X-ray microtomography Principal axes of inertia
& F. Delloro [email protected] 1
Centre des Mate´riaux, Competence Centre for Spray Processing (C2P), MINES ParisTech, Paris, France
2
Centre de Morphologie Mathe´matique, Mathe´matique et Syste`mes, MINES ParisTech, Paris, France
3
Establissement SAFRAN PARIS-SACLAY, Chaˆteaufort, France
4
CEA, LPTh, Monts, France
5
ESRF, Grenoble, France
PCA EOS ALE
Principal component analysis Equation of state Arbitrary Lagrangian–Eulerian
Introduction Cold spray is a thermal spraying technique, where the sprayed powder adheres to the substrate due to plastic deformation at particle impact (Ref 1). The powder and the substrate undergo moderate heating, and the respective temperatures stay below the melting point. This process is more and more attractive to several industries due to its additive manufacturing abilities (Ref 2-7), compared to other coating applications that are more traditional and have been the subject of extensive study in the last decades. The typical cold spray deposit is characterized by a peculiar microstructure (Ref 8) that reflects the buildup process in which the powder particles impinge upon the substrate and eventually adhere to it. During each one of the impacts, both the particle and the substrate deform in a way that strongly depends on the respective material properties and impact conditions (Ref 9). Modeling is a fundamental tool for understanding the phenomena related to cold spray. It has been extensively used to this aim. For instance, it is the only known way to estimate certain properties, such as local particle or substrate temperature rise, data that have not been experimentally accessible so far. A major fraction of the modeling work to this day has focused on the idealized case of a perpendicular impact of a single spherical particle on a flat substrate using the finite el
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