Fracture Behavior of a Brittle Coating on an Elastic Substrate under Residual Stress
The fracture behavior of a brittle coating on an elastic substrate under residual stress is investigated. Using a mechanical model, the analytical solutions for the distribution laws of the tensile stress developed in the coating, the shear stress developed along the interface and the relationship between the crack density of the coating and the residual stress can be obtained. The analytic relationship between the crack density and the residual stress can also be taken as a new expression to estimate the magnitude of the residual stress. A numerical example is presented to show how the crack density varies versus the residual stress.
B. Q. Yang and P. Li, "Fracture Behavior of a Brittle Coating on an Elastic Substrate under Residual Stress", Advanced Materials Research, Vols. 217-218, pp. 595-599, 2011