A Theoretical Analysis of the Fracture Behavior of a Multi-Layered Thin Film Structure under Residual Tensile Stress
In this work, the fracture behavior of a multi-layered thin film structure under residual tensile stress is investigated theoretically. Using composite material theory and a modified shear-lag model, the analytical solutions for the distribution laws of the tensile stress developed in the first-layer thin film and the shear stress developed along the interface can be obtained. In addition, the crack density of the first-layer thin film can be derived from the residual stress and the mechanical and geometric parameters of the cracked system. This result also yields a measurement of the residual stress from the crack density and the mechanical and geometric parameters of the system. Finally, a numerical example is presented to show how the crack density varies versus the residual stress.
Zhong Cao, Xueqiang Cao, Lixian Sun, Yinghe He
B. Q. Yang and F. X. Li, "A Theoretical Analysis of the Fracture Behavior of a Multi-Layered Thin Film Structure under Residual Tensile Stress", Advanced Materials Research, Vols. 239-242, pp. 2179-2182, 2011