Effect of residual stress on cleavage fracture toughness by using cohesive zone model

• Published in: Fatigue & fracture of engineering materials & structures 2011-08, Vol.34 (8), p.592-603
• Main Authors: REN, X. B., ZHANG, Z. L., NYHUS, B.
• Format: Article
• Language: English
• Subjects: Applied sciences; Cleavage; cleavage toughness; Cohesion; cohesive zone model; Computer simulation; Crack initiation; Crack propagation; eigenstrain method; Exact sciences and technology; Fracture mechanics; Fracture toughness; Fractures; Mathematical models; Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology; Metals. Metallurgy; modified boundary layer model; Residual stress
• ISSN: 8756-758X; 1460-2695
• DOI: 10.1111/j.1460-2695.2011.01550.x

ABSTRACT This study presents the effect of residual stresses on cleavage fracture toughness by using the cohesive zone model under mode I, plane stain conditions. Modified boundary layer simulations were performed with the remote boundary conditions governed by the elastic K‐field and T‐stress. The eigenstrain method was used to introduce residual stresses into the finite element model. A layer of cohesive elements was deployed ahead of the crack tip to simulate the fracture process zone. A bilinear traction–separation‐law was used to characterize the behaviour of the cohesive elements. It was assumed that the initiation of the crack occurs when the opening stress drops to zero at the first integration point of the first cohesive element ahead of the crack tip. Results show that tensile residual stresses can decrease the cleavage fracture toughness significantly. The effect of the weld zone size on cleavage fracture toughness was also investigated, and it has been found that the initiation toughness is the linear function of the size of the geometrically similar weld. Results also show that the effect of the residual stress is stronger for negative T‐stress while its effect is relatively smaller for positive T‐stress. The influence of damage parameters and material hardening was also studied.