The elastic and plastic constraint parameters for three-dimensional problems

Application of a Cohesive Zone Model for Simulating Fatigue Crack Growth from Moderate to High ΔK Levels of Inconel 718

“…According to (8), the cohesive energy is Γ 0 = 7 1 × 10 4 J/ m 2 in the present analysis. The cohesive strength σ max,0 = 3900 MPa is used, which is nearly three times above the initial yield stress of IN718 according to the suggestion in [34], where the corresponding cohesive length σ 0 = 0 003 m m. Actually, the relationship between the initial cohesive strength and cohesive length can be attributed to the effect of the initial cohesive stiffness k n .…”

“…Since elastic or the small-scale yielding (SSY) condition at crack-tip is assumed in the K-based models, many attractive models have also been proposed to simulate fatigue crack growth with considerable plastic deformations [6][7][8][9][10]. One representative model proposed by Dowling and Begley [7] is constructed by replacing ΔK with ΔJ-integral to extend the Paris' law into the large-scale yielding (LSY) conditions.…”

A creep stress intensity factor approach to creep–fatigue crack growth

“…In [13][14][15][16], a plastic stress intensity factor for fracture toughness and the mixed mode crack growth rate was introduced, based on the analytical form of the elastic-plastic stress and strain fields in the vicinity of the crack tip. This plastic SIF directly relates to the elastic-plastic fracture mechanics parameter, J-integral.…”

“…The approach follows that in [13][14][15][16], whereby the plastic stress intensity factor (SIF) was introduced for the different geometry of several test specimens to take into account in-plane and out-of-plane constraint effects at fracture. Equations are also proposed for calculating I n -factor at both the deepest point along the crack front and at the crack tip on the surface.…”

Numerically predicted J-integral as a measure of crack driving force for steels 1.7147 and 1.4762

“…FE analysis of Mode I fracture in a compact tensile (CT) specimen has been conducted to reveal effects on micro, meso and macroscale (Saxena and Ramakrishnan, 2007), while plastic geometry factors were determined numerically in order to calculate the J-integral from the load vs. crack mouth opening displacement or load-line displacement curve in the J-R curve test (Huang et al, 2014). Elastic and plastic constraint parameters for 3D problems were studied on single-edge notched bend (SENB) and CT specimens of non-standard configuration to characterize fracture resistance parameters (Shlyannikov et al, 2014). Research on explaining procedures that guarantee the domain independent property when calculating the 3D J-integral for large deformation problems was carried out by Koshima and Okada (2015).…”