Viscous regularization for cohesive zone modeling under constant displacement: An application to hydrogen embrittlement simulation. (October 2016)

• Record Type: Journal Article
• Authors: Yu, Haiyang; Olsen, Jim Stian; Olden, Vigdis; Alvaro, Antonio; He, Jianying; Zhang, Zhiliang
• Is Part Of: Engineering fracture mechanics. Volume 166(2016)
• Page Start: 23
• Page End: 42
• Publication Date: 2016-10
• Subjects: Cohesive zone modeling -- Constant displacement -- Numerical instability -- Viscous regularization -- Hydrogen embrittlement; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2016.08.019
• Languages: English
• ISSNs: 0013-7944

Abstract

Highlights: Numerical instability during cohesive zone modeling under constant displacement is derived for the first time. Plastic material behavior is included in the revisit to the "snap-back" issue. The effect of viscous regularization on symmetry modeling is discussed. Effectiveness of the viscous regularization under constant displacement is proved by a hydrogen embrittlement case study. Abstract: The convergence problem during the cohesive zone modeling of hydrogen embrittlement in constant displacement scenario is attributed to the numerical instability which is studied analytically in the present work. The property of numerical stability is directly associated with the number of solutions for the controlling equations from the failure initiation point. It is shown that all the cases with a non-unique solution are numerically unstable thereby having convergence problem. Linear elastic and elasto-plastic material models are considered in the derivation, and the convergence properties for both models are proved essentially the same. The viscous regularization proposed by Gao and Bower (2004) proves effective in solving the convergence problem with good accuracy under constant displacement, provided that the viscosity is small enough. This is further supported by a pipeline engineering case study where the viscosity regularized cohesive zone approach is applied to the hydrogen embrittlement simulation. The stabilizing mechanism of the viscous regularization is attributed to its capacity to enforce a single solution by modifying the controlling equations. The influence of viscous regularization on symmetry modeling is also discussed.