Strain smoothing in FEM and XFEM

By Stéphane P.A. Bordas, Timon Rabczuk, N. Hung, Vinh Phu Nguyen, Sundararajan Natarajan, Tino Bog, Dongliang Quan, Nguyen Vinh Hiep. 2010

330 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8e9eeb6044ebfc45c64e38a8039daa841c8c5e6d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Element-wise fracture algorithm based on rotation of edges (2013, methodology): “In particular, the extended finite element method (XFEM) by Moës, Belytschko and co-workers [47, 20, 46, 15, 63, 23, 24] was used previously but still poses challenges for large amplitude displacements (this is particularly critical for quasi-adiabatic shear bands).”
Numerical integration over arbitrary polygonal domains based on Schwarz–Christoffel conformal mapping (2009, neutral): “Interested readers can refer to the recent review paper on SFEM [29].”
A singular edge-based smoothed finite element method (ES-FEM) for crack analyses in anisotropic media (2011, neutral): “The CS-FEM has been developed for dynamic analyses [42], plate and shell analyses [43–45], and further extended for the extended finite element method (XFEM) to solve fracture problems in 2D continuum plates [46].”
A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates (2010, methodology): “The SFEM has also been extended to general n-sided polygonal elements(nSFEM)[33],dynamicanalysis[34,35],plateand shell analysis [36,37], kinematic limit analysis [38] and coupled to partition of unity enrichment [ 39 ].”
An edge-based smoothed finite element method for visco-elastoplastic analyses of 2D solids using triangular mesh (2009, methodology): “The CS-FEM has been developed for general n-sided polygonal elements (nSFEM or nCS-FEM) [7], dynamic analyses [6], incompressible materials using selective integration [20,25], plate and shell analyses [5,19,24,28,29], and further extended for the extended finite element method (XFEM) to solve fract”
Adaptive analysis using the node‐based smoothed finite element method (NS‐FEM) (2011, methodology): “In addition, CS-FEM has also been coupled to the XFEM [35] to solve fracture mechanics problems in 2D continuum and plates [36].”
Higher‐order XFEM for curved strong and weak discontinuities (2009, background): “[28] in the context of the smoothed XFEM [29].”
A scaled boundary polygon formulation for elasto-plastic analyses (2014, methodology): “The smoothed FEM has been shown to be very efficient in modeling problems with cracks [23, 24, 25, 26] and is good candidate for plastic analysis [27, 28].”
Virtual and smoothed finite elements: A connection and its application to polygonal/polyhedral finite element methods (2015, methodology): “In [9, 62], the authors suppress the zero energy modes by adding the stiffness matrix computed with eight subcells.”
Computation of limit and shakedown loads using a node‐based smoothed finite element method (2012, methodology): “The CS-FEM has been studied theoretically in [3–5], and further extended to the general n-sided polygonal elements (nSFEM or nCS-FEM) [6], dynamic analyses [7], incompressible materials using selective integration [8, 9], plate and shell analyses [10–12], fracture mechanics problems [13, 14], and li”