Coupled model of coating formation on a cylindrical substrate

Abstract

A coupled model of coating formation on the surface of a part of a cylindrical shape during deposition from the plasma is proposed. This model takes into account the phenomena of thermal diffusion, diffusive thermal conductivity, and mass transfer under the action of the stress gradient, and the formation of chemical compounds. The coating growth rate is considered to be a given function of the particle velocity and particle concentration near the surface of the growing coating. The problem is solved numerically. It is shown that diffusion cross-fluxes, diffusive thermal conductivity, and thermal diffusion during the growth process reduce the width of the transition zone between the substrate and the coating. This effect becomes most essential if the substrate has a low thermal conductivity. Accounting for stresses arising in the coating-substrate system during the deposition process changes the effective transfer coefficients and significantly affects the result of modeling the distribution of chemical elements and their compounds in the coating.

Multilayer Coating Formation at the Deposition from Plasma

“…of the growing coating depend on the space coordinate and on the time. Therefore, as opposed to [15,19], here the sub-problem on mechanical equilibrium was solved numerically.…”

“…Cylindrical specimen made from iron rotates around their axis that provides the same plasma composition along the lateral surface. General mathematical formulation of the problem is presented in [15] and includes three subproblems: thermal-diffusion, kinetical and mechanical ones. Total mathematical model takes into account the various cross-effects additionally to fundamental transfer mechanisms for the heat and species.…”

“…Limitations of finite elements analysis were discussed for example in [14]. Multi physical model of coating formation is presented in [15]. And multi layered coating growth with chemical conversion and residual stresses evaluation is described in [16].…”

Numerical research of influence of laser radiation parameters on the formation of intermetallic phases from metal powders in selective laser melting technology

“…Mathematical modeling enables us to make the correct choice of laser processing parameters [10][11][12]. However, the modelling of the process of selective laser melting of metal powders forming the intermetallide phase presents serious difficulties.…”

Distribution of the Concentration of Injected Impurity Under Surface Treatment by Consecutive Pulses

“…Иными словами, в теоретических работах необходимо исследование взаимовлияния всевозможных процессов, протекающих совместно, для выявления особенностей этого взаимодействия. Например, в [7] учитываются напряжения в системе покрытие -подложка, возникающие в процессе осаждения. Это приводит к изменению эффективных коэффициентов переноса и оказывает значительное влияние на распределения химических элементов и их соединений в покрытии.…”