Numerical simulation of quasi-brittle fracture using damaging cohesive surfaces

By M. Tijssens, B. Sluys, E. Giessen. 2000

148 citations recorded by the source corpus.

The cohesive surface methodology is used in a numerical study of fracture of concrete. The traction vs. separation response is governed by an isotropic damage law in which damage evolves according to a prescribed one-dimensional linear or exponential softening law. Cohesive surfaces are immersed in the continuum to allow for a maximum freedom of crack path selection. The single edge notched four point shear beam and the double edge notched tensile bar are used to study: (i) the influence of the tangential cohesive response on the development of the fracture path and (ii) the mesh alignment sensitivity. It is shown that in the present formulation, the tangential cohesive response has a minor influence on both crack path and global characteristics. Mesh alignment does have a significant influence on the outcome of the numerical analysis.

Subfields: Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/4158addb27fdec4fc06e08866a6c9c66a0deb19c

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In Mechanics of Materials

Citations in the corpus

Mesh-independent discrete numerical representations of cohesive-zone models (2006, background): “Although such analyses provide much insight, they suffer from a certain mesh bias, since the direction of crack propagation is not entirely free, but is restricted to interelement boundaries [15].”
Numerical Modelling of the Anisotropic Mechanical Behaviour of Opalinus Clay at the Laboratory-Scale Using FEM/DEM (2012, methodology): “To minimize the constraint imposed by the mesh topology on the model behaviour, randomly discretized meshes should be used in place of regularly discretized ones (Tijssens et al. 2000; Mahabadi 2012).”
A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements (2009, unknown): “…(1969), Goodman et al. (1968), Hillerborg et al. (1976), Herrmann (1978), Ingraffea and Saouma (1985), Bocca et al. (1986), Kikuchi and Oden (1988), Alfaiate et al. (1992), Carol and Prat (1995), Lourenço and Rots (1997), Carey and Ma (1999), Tijssens et al. (2000), Dias-da-Costa et al. (2009).”
Cohesive‐zone models, higher‐order continuum theories and reliability methods for computational failure analysis (2004, unknown): “Indeed, several authors [33, 34] have proven the equivalence between embedded discontinuity approaches and classical smeared-crack models in which the fracture energy is smeared out over the element width in the sense of Equation (2), e.g. References [12, 35].”