A new method for modelling cohesive cracks using finite elements

By Garth N. Wells, Lambertus J. Sluys. 2001

995 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/df828a65743fa7c96dec08aec16485b39def0659

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A review of extended/generalized finite element methods for material modeling (2009, methodology): “[113] G.N. Wells, L.J. Sluys, and R. De Borst.”
The simulation of dynamic crack propagation using the cohesive segments method (2008, background): “In the original formulation by Wells and Sluys (2001), this did not appear to be a serious problem, but in the cohesive segments method, a discrepancy is created since the fracture criterion is used to determine both the nucleation of a segment as well as its extension (Remmers, 2006).”
A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements (2009, methodology): “The former approach was implemented by Wells and Sluys (2001a); since, in this case, the enhanced degrees of freedom become excessively constrained, the latter approach is followed here.”
Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book (2012, methodology): “The extended finite element method is an approach to modeling discontinuities independently of the underlying mesh (Belytschko and Black, 1999; Moës et al., 1999; Wells and Sluys, 2001).”
The extended/generalized finite element method: An overview of the method and its applications (2010, methodology): “These attributes are also present in some later realizations of the GFEM and PUM, see for example [196, 162].”
Computational homogenization for adhesive and cohesive failure in quasi‐brittle solids (2010, methodology): “Cohesive fracture of the surrounding material is modelled using the initially rigid mixed-mode cohesive law proposed by Wells and Sluys [15], with a fracture strength of 5MPa and a fracture toughness of 0.01N/mm.”
A new generalized finite element method for two‐scale simulations of propagating cohesive fractures in 3‐D (2015, result): “We refer to, among many others, [28–32] for the application of these ideas in the context of cohesive fracture mechanics.”
Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation (2003, methodology): “The above properties are in sharp contrast to enriched finite elements (Benzley, 1974; Gifford and Hilton, 1978; Ayhan and Nied, 2002 ), where transition elements are required to satisfy displacement continuity.”
Towards the algorithmic treatment of 3D strong discontinuities (2006, background): “[13, 15], Möes & Belytschko [14] and Gasser & Holzapfel [17].”