A Modified Benzeggagh-Kenane Fracture Criterion for Mixed-mode Delamination

Abstract

As a deviation from the linear fracture criterion for mixed-mode delamination, the original Benzeggagh-Kenane (B-K) fracture criterion with a single parameter can be derived via the assumption on a common mixed-mode resistance to delamination. Through the extension to the framework of separate mixed-mode fracture toughness, a more consistent fracture criterion with two parameters is obtained. Moreover, a theoretical extension to a 3D fracture criterion is also possible. The quality of the modified fracture criterion in the description of fracture locus is investigated by numerical validations against experimental data and comparisons with other fracture criteria.

Macro- and micro-modeling of crack propagation in encapsulation-based self-healing materials: Application of XFEM and cohesive surface techniques

“…For the sake of simplicity, this model assumes that the critical fracture toughness is equal in all directions. Also, taking into account the effect of this parameter on the response [34], a tentative value η = 1.45 has been used [35].…”

“…It is worth mentioning that, apart from these assumptions, more elaborated criteria could have been used (e.g., ref. [34]). However, given the high level of brittleness of the interface present in cementitious-based materials (Section 3.3), they would produce negligible effects in the mechanical response.…”

A new analytical critical thrust force model for delamination analysis of laminated composites during drilling operation

“…The parameter defines the shape of the failure locus in the mixed mode plane and it can be determined by matching the material response with the B-K criterion on the mixed mode diagram [57]. The mode mixity ratio will vary depending on the number of uncut plies under the drill and the cutting conditions.…”

Experimental assessment of an End Notched Flexure test configuration with an inserted roller for analyzing mixed-mode I/II fracture toughness

“…Moreover the toughness contour, in which fracture toughness is plotted as a function of mode mixtures, is useful for establishing failure criterion used in damage tolerance analyses of composite structures [32]. In the formulation of a fracture criterion it is necessary to take the fracture toughness recorded at some mixed-mode ratios as reference values [33][34][35][36][37].…”