A smoothed finite element method for plate analysis

By Hung Nguyen-Xuan, Timon Rabczuk, Stéphane P.A. Bordas, J. Debongnie. 2008

381 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/6267991e14d404da3e6c747a212c87a65ce81f94

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In Mechanics of Materials

Citations in the corpus

Adaptive analysis using the node‐based smoothed finite element method (NS‐FEM) (2011, methodology): “The CS-FEM has been developed for general n-sided polygonal elements [26], dynamic analyses [27], incompressible materials using selective integration [28, 29], and further extended for plate and shell analyses [30–34], respectively.”
NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter (2012, neutral): “, strain smoothing, SFEM [14, 15].”
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”
Rotation free isogeometric thin shell analysis using PHT-splines (2011, background): “Depending on the thickness, shell elements can be categorized into thin plate/shell elements [2–9] and thick plate/shell elements [10–16].”
A singular edge-based smoothed finite element method (ES-FEM) for crack analyses in anisotropic media (2011, positive): “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].”
Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach (2012, methodology): “Because of the limitation of analytical approaches, various numerical methods have been developed such as FEM [39, 40], BEM [41, 42], smoothed FEM [43–49], mesh-free methods [50–56], etc.”
A Smoothed Finite Element Method (SFEM) for Linear and Geometrically Nonlinear Analysis of Plates and Shells (2008, methodology): “A plate element [ Nguyen-Xuan et al. (2008) ] has been formulated using the SFEM.”
Strain smoothing in FEM and XFEM (2010, methodology): “[64] for more details on the formulation.”