A high‐order generalized FEM for through‐the‐thickness branched cracks

By Carlos Armando Duarte, Laura G. Reno, A. Simone. 2007

111 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/448f2642e50584794c270532f48ce4cd93e52658

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Higher‐order XFEM for curved strong and weak discontinuities (2009, background): “Realizations where the step enrichment is used in (12) are discussed in [43, 44].”
Numerical simulation of dynamic fracture using finite elements with embedded discontinuities (2009, background): “…al. (2001), Klein et al. (2001), Belytschko et 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…”
An efficient augmented finite element method for arbitrary cracking and crack interaction in solids (2014, background): “Special data structures have been developed for tracking the crack surfaces and for proper merging of DoFs associated with different interacting cracks [11, 15, 28, 29].”
Integration of singular enrichment functions in the generalized/extended finite element method for three‐dimensional problems (2009, background): “The same is the case when high-order GFEM shape functions, like those introduced in references [35, 38] are used.”
A new generalized finite element method for two‐scale simulations of propagating cohesive fractures in 3‐D (2015, background): “x / is a vector normal to the surface coh, high-order Heaviside functions, as proposed in [72, 73], are used at nodes whose support ! ̨ are intersected by the crack surface coh.”
Cohesive and non‐cohesive fracture by higher‐order enrichment of XFEM (2012, methodology): “Copyright © 2012 John Wiley & Sons, Ltd. Received 8 March 2011; Revised 11 September 2011; Accepted 14 September 2011 KEY WORDS: GFEM; direct SIFs; crack growth; crack tip asymptotic field”
Three-dimensional crack growth with hp-generalized finite element and face offsetting methods (2010, methodology): “DL , are called high-order step functions [ 15 ,50].”
Analysis of Interacting Cracks Using the Generalized Finite Element Method With Global-Local Enrichment Functions (2008, unknown): “[25] C.”
hp‐Generalized FEM and crack surface representation for non‐planar 3‐D cracks (2009, methodology): “Explicit crack surface representations are also convenient to represent branched crack surfaces [16] and facilitate the visualization of crack surfaces using standard graphical post-processors.”