A meshless method with enriched weight functions for three‐dimensional crack propagation

By Marc Duflot. 2006

103 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3fff66e3df09d272ea8a2b3634d6a9f17291229c

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A new weight‐function enrichment in meshless methods for multiple cracks in linear elasticity (2012, methodology): “This paper is directly inspired by this idea of modified weight function, which was first proposed by Duflot and coworkers in [28, 29], and [30] although a completely different enriched weight function is proposed.”
Fracture modeling using meshless methods and level sets in 3D: Framework and modeling (2012, methodology): “In the aforementioned statement, the methods used fall into two categories, discrete crack modeling methods, for example, [23] and smeared crack modeling methods such as in [26].”
A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics (2007, methodology): “Another smooth-level set procedure is described by Duflot [19].”
Meshless methods: A review and computer implementation aspects (2008, methodology): “An efficient approach, presented in [11,41] is reproduced here for completeness.”
A study of the representation of cracks with level sets (2007, methodology): “In References [12–14], an enrichment by means of special weight functions is proposed.”
A simple method for crack growth in mixed mode with X-FEM (2012, methodology): “). method (X-FEM) (Moës et al., 1999), the generalized finite element method (Duarte et al., 2001) and mesh-less methods (Duflot, 2006).”
Accurate fracture modelling using meshless methods, the visibility criterion and level sets: Formulation and 2D modelling (2011, methodology): “Alternatives are to use improved weight functions [33] and enriched weight functions [34, 35], both of which introduce no additional unknowns.”