Study of the Effect of Thickness on the Residual Stress Profile of a Cold Spray Coating by
Finite Element Analysis
Felipe Torres, Ruben Fernandez
Faculty of Physical and Mathematical Science, University of Chile, Santiago, Chile
felipe.torres.c@ug.uchile.cl, +56974577762
Abstract
The understanding of residual stress is of critical importance in
the cold spray and thermal spray processes. It has a direct effect
on the integrity of the coating related to the adhesion strength,
fatigue life, and can lead to undesired effects such as the
delamination of the coating. In cold spray, several
investigations have evaluated the impact of the residual stress
on the coatings, and it is generally accepted that cold spray
coatings follow a similar profile to those obtained in the shot
peening process. Although the measurement of residual stresses
gives fundamental insight into the process, the estimation of
such stresses considering the deposition of each layer by
numerical methods has not been extensively studied. This work
proposes a method for analyzing the evolution of residual stress
on a cold spray coating, both on the coating and the substrate,
as a function of the deposited layers, using Finite Element
Analysis (FEA). The evolution of the residual stress profile
with the coating thickness was obtained along the transverse
direction. The results were compared to experimental and
numerical data from previous studies. The influence of the
deposition of each layer on the residual stress profile has been
discussed.
Introduction
Cold spray is an additive manufacturing process based on the
deposition of solid-state powder particles by high-velocity
impacts. Particles are accelerated by injection into a high-
velocity stream of expanding gas and are impacted against a
substrate. In the impact, particles undergo high plastic
deformation and an increase in temperature, generating internal
residual stresses on the material. This phenomenon has an
influence on the properties of the coatings.
Residual stress is an important aspect that can affect the
integrity and durability of the coatings. Tensile residual stress
can cause delamination and peeling. This case has been found
on thermal spray coatings and can be explained by the
solidification and consequent cooling to room temperature of
the successively deposited layers [1–4]. On the other hand,
compressive residual stress is beneficial for the coatings and
can improve the fatigue life [1,5–9]. Many studies have
reported that cold spray coatings exhibit a beneficial
compressive residual stress [3,6,10–16]. These studies mainly
explain this phenomenon with the peening effect caused by the
impact of the particles against the substrate.
Previous research has tried to predict the residual stress profile
on cold spray coatings by numerical and analytical methods
[3,10,11]. Ghelichi et al. [11] deposited pure aluminum and
Al7075 powders on an Al5052 substrate. They implemented a
numerical and an analytical model to study the annealing effect
of the gas temperature on the residual stress of the substrate.
The authors obtained a good agreement with experimental data.
Shayegan et al. [10] tried to predict the effect of several
deposition parameters on the residual stress profile for the
substrate. They simulated aluminum particles impacting a
magnesium AZ31B substrate. The study examined the effect of
particle velocity, diameter, shape, angle of impact, and the
friction coefficient on the residual stress profile generated on
the substrate. Luzin et al. [3] measured the residual stress on
coatings of different materials and fitted the residual stress
profiles of the coating and the substrate with the Tsui and Clyne
analytical model[17]. Although residual stress can be measured
and fitted to numerical and analytical models, the evolution of
the residual stress profile on the coatings and the substrate as a
function of the deposited layers is not easily predicted.
In this study, a numerical analysis of residual stress in an
aluminum cold spray coating is implemented. The analysis is
done on both the substrate and the coating. For this purpose, a
new methodology is proposed, in which the deposited layers
and the substrate, both of aluminum, are considered as a single
solid. The behavior of the residual stress profile is examined for
16 deposited layers. The thermal expansion effect is not
considered in this work.
Numerical model
The numerical method in this work is divided into two parts,
impacts modeling, and layering modeling. The first part
(impacts) simulates the cold spray process of aluminum
particles over an aluminum substrate. This part is divided, in
turn, into two steps. The first step was focused on modeling the
impact of 325 particles without considering the bonding of the
particles. This step had the objective of extracting the residual
stress induced on a substrate of aluminum solely by the impacts.
The second step was focused on the impact and deposition of
25 particles over a substrate with the same characteristics as the
previous simulation. This step was done to extract the residual
stress induced on one layer due to deposition. Finally, the
Thermal Spray 2021: Proceedings from the International Thermal Spray Conference
May 24–28, 2021
F. Azarmi, X. Chen, J. Cizek, C. Cojocaru, B. Jodoin, H. Koivuluoto, Y. Lau, R. Fernandez,
O. Ozdemir, H. Salami Jazi, and F. Toma, editors
DOI: 10.31399/asm.cp.itsc2021p0261
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