👉 Coating math is a fundamental aspect of surface engineering that deals with the quantitative analysis and prediction of coating performance and behavior. It involves using mathematical models to describe the growth, adhesion, and durability of coatings on substrates. Key parameters include deposition rates, which are often modeled using diffusion-limited or reaction-limited growth equations; stress and strain distributions within the coating, calculated using elasticity theory; and adhesion strength, which can be estimated through interfacial energy calculations or cohesive strength models. Additionally, coating thickness and uniformity are often analyzed using surface profilometry and optical techniques, which are then integrated into predictive models to optimize coating processes. These mathematical frameworks help in designing coatings with desired properties, such as wear resistance, corrosion protection, or optical performance, by providing insights into the underlying physical and chemical mechanisms.
