A Critical Evaluation of Cohesive Zone Models of Dynamic Fracture

By Michael L. Falk, A. Needleman, J. Rice. 2001

342 citations recorded by the source corpus.

Subfields: Computational Mechanics, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8454c43a29833708e4d199552708ee9c9bae1e68

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In Computational Mechanics

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

An improved description of the exponential Xu and Needleman cohesive zone law for mixed-mode decohesion (2006, background): “The coupling parameter q is mostly set equal to unity [ 15 ,30,46], implying /n = /t. This assumption is often made in the absence of experimental proof to do otherwise.”
Discrete vs smeared crack models for concrete fracture: bridging the gap (2004, neutral): “However, other difficulties are introduced with initially rigid cohesive surfaces, at least in modelling dynamic crack growth [29, 30].”
Dynamic plasticity and fracture in high density polycrystals: constitutive modeling and numerical simulation (2005, background): “More elaborate, and potentially more physically realistic, cohesive constitutive models have been advanced in the recent literature for a variety of material systems, and dynamic fracture predictions are known to exhibit sensitivity to the particular choice of cohesive law (Falk et al., 2001).”
An open-source Abaqus implementation of the phase-field method to study the effect of plasticity on the instantaneous fracture toughness in dynamic crack propagation (2020, methodology): “The cohesive zones method [13,14] is based on the separation of predefined surfaces assuming a finite process zone located at the front of the fracture.”
The simulation of dynamic crack propagation using the cohesive segments method (2008, background): “It remains to be determined whether this is an inherent consequence of having an initially rigid cohesive surface or is a consequence of the particular implementation in (Falk et al., 2001).”
Crack nucleation in variational phase-field models of brittle fracture (2018, neutral): “Let us denote by the classical material’s characteristic length (see [82, 39], for instance), where E (cid:48) = E in three dimension and in plane stress, or E (cid:48) = E 1 ν 2 in plane strain.”
A cohesive segments method for the simulation of crack growth (2003, neutral): “As a consequence, numerical anomalies, such as stress oscillations at the interface [28] or spurious stress wave reflections are avoided, but other anomalies may be introduced in dynamic problems [12, 13].”
Numerical simulation of dynamic fracture using finite elements with embedded discontinuities (2009, methodology): “We can quote Gao and Klein (1999), Falk et al. (2001), Duarte et al. (2001), Klein et al. (2001), Li et al. (2002), Belytschko et al. (2003), Areias and Belytschko (2006), Song et al. (2006), Huespe et al. (2006), Medyanik et al. (2007), Remmers et al. (2008), or Rabczuk and Samaniego (2008),…”
A Meshfree Method based on the Local Partition of Unity for Cohesive Cracks (2007, neutral): “[20], Belytschko et al.”
A three dimensional large deformation meshfree method for arbitrary evolving cracks (2007, methodology): “[21] using interelement methods and Belytschko et al.”
Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment (2008, background): “Two dimensional computations of this problem was previously reported in [43, 44, 45].”
Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials (2005, background): “There has been discussions and debates over the pros and cons of each model (Falk et al., 2001).”
Cracking particles: a simplified meshfree method for arbitrary evolving cracks (2004, methodology): “In Reference [5], it was argued that a rigid-cohesive law either prevents, or at least significantly retards, branching in interelement crack models, so apparently our method does not suffer this drawback.”
Cohesive models for damage evolution in laminated composites (2005, background): “The very high stiffness leads to traction oscillations or stress wave reflections in transient analyses, which in turn give mesh-dependent results (Falk et al., 2001; Elices et al., 2002).”
On three-dimensional modelling of crack growth using partition of unity methods (2010, background): “[51], Rabczuk and Belytschko [115] and Xu and Needleman [150].”
A simplified mesh‐free method for shear bands with cohesive surfaces (2007, background): “[10]; this sensitivity can be mollified by adding randomness to the strength, as in Zhou and Molinari [8].”