Extended meshfree methods without branch enrichment for cohesive cracks

By Goangseup Zi, Timon Rabczuk, Wolfgang A. Wall. 2007

215 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d0bc21611787bf1b255966154750f4556252bf8c

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In Civil and Structural Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures (2008, unknown): “riched by the discontinuous displacement ue [27, 34 , 35].”
Polygon scaled boundary finite elements for crack propagation modelling (2012, methodology): “extended FEM (XFEM) [13, 14] and meshless methods, for example, [15] have been proposed as alternatives.”
Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment (2008, methodology): “Recently, Zi et al. [ 34 ] developed a simple method to close the crack tip without near-tip enrichment.”
Numerical simulation of dynamic fracture using finite elements with embedded discontinuities (2009, background): “…al. (2003), Zhou and Molinari (2004), Zhou et al. (2005), Huespe et al. (2006), Song et al. (2006), Duarte et al. (2007), Karedla and Reddy (2007), Remmers et al. (2008), Zhang et al. (2007), Zi et al. (2007), to mention just a few references employing a variety of different numerical approaches.”
A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields (2014, unknown): “Recently, much effort has been directed towards the application of meshless methods to crack problems to overcome the difficulties in traditional numerical methods such as meshless methods for dynamic problem, 2D fracture modelling [9–18], 3D fracture modelling [19,38–41], fluid structure integratio”
Accurate fracture modelling using meshless methods, the visibility criterion and level sets: Formulation and 2D modelling (2011, methodology): “Alternatively the use of Lagrange multipliers is proposed in the same paper [15] and is later adopted in a number of subsequent papers [17–19] that develop meshless methods for 3D fracture modelling.”