Fatigue-damage-induced cohesive zone model derived from Paris law and its parameter identification

Abstract

The objective of this study is to develop a new cohesive zone model derived from Paris law and identification of its material parameters to realize fatigue crack propagation. A damage variable representing material degradation under cyclic loading is introduced into an existing cohesive zone model within the framework of thermodynamics and the evolution law is determined from Paris law. After simple validation is conducted to investigate the effect of the material parameters on crack growth rate, we present the parameter identification to employ the material parameters of Paris law on our proposed model. Several numerical examples are provided to demonstrate the consistency assessment of the proposed model with previous studies, and the capability for problems of fatigue crack propagation affected with different plastic deformation.