Selected Aspects of Cohesive Zone Modeling in Fracture Mechanics

Abstract

This review paper discusses the basic problems related to the use of cohesive models to simulate the initiation and development of failure in various types of engineering issues. The most commonly used cohesive zone models (CZMs) are described. Recent achievements in the field of cohesive modeling are characterized, with particular emphasis on the problem of mixed mode loading, the influence of the strain rate, the stress state triaxiality, and fatigue. A separate chapter of the work is devoted to the identification of cohesive parameters. Examples of the use of CZMs for the analysis of the fracture and failure process in various applications, both on the macro and microscopic scale, are given. The directions of CZMs development were indicated as well as the issues that are currently under particularly intensive development.

Voids Development in Metals: Numerical Modelling

“…Examples of the traction-separation laws (TSLs) described in the literature are presented in Figure 3. [37]; (b) Bažant [38]; (c) Needleman [39]; (d) Needleman [40]; (e) Tvergaard and Hutchinson [41], reproduced from [42].…”

“…The author of [39] also pointed out that, in the case of the numerical evaluation of the void nucleation strain, interpretation ambiguities appear because the moment of nuclea-Figure 3. Traction-separation laws (TSLs) proposed in the literature: (a) Hillerborg [37]; (b) Bažant [38]; (c) Needleman [39]; (d) Needleman [40]; (e) Tvergaard and Hutchinson [41], reproduced from [42].…”

Simulating the shrinkage-induced interfacial damage around Class I composite resin restorations with damage mechanics

“…2c). Once the displacement jump reaches the critical value ẟc, the element fractures and cannot withstand any stress, resulting in the total energy dissipation of Gc [20].…”

Some Microstructural Aspects of Ductile Fracture of Metals

“…Exemplary values of local fracture and separation stresses, quoting from [36] are summarized in Table 1. Significant progress in the field of numerical methods made it possible to perform a multi-parameter analysis of the matrix and particle separation using cohesive models, which usually characterize the interfacial contact using three groups of parameters: maximum stress (normal and shear), separation work Γ, and displacement δ [40,41]. Although the values of cohesive parameters are often treated as material constants, as indicated in [42], their values depend on the stress triaxiality, specimen geometry, and particle size.…”