Free and forced vibration analysis using the smoothed finite element method (SFEM)

By K. Y. Dai, Guirong Liu. 2007

157 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/61e0d10bbce682ff8bc9c0b8cab8a511f629e2d5

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

A smoothed finite element method for plate analysis (2008, unknown): “It was shown that the SFEM is stable, accurate and effective [20,21,47].”
Analysis of functionally graded plates using an edge-based smoothed finite element method (2011, methodology): “The S-FEM models have also been further investigated and applied to various problems such as dynamics [37–41], plates and shells [42–44,48,55], piezoelectricity [52], fracture mechanics [46,50,53], visco-elastoplasticity [49,54,58], limit and shakedown analysis [45,56], etc.”
An n-sided polygonal smoothed finite element method (nSFEM) for solid mechanics (2007, methodology): “[3,4] by means of combining the strain smoothing technique with the conventional FEM technology.”
Numerical integration over arbitrary polygonal domains based on Schwarz–Christoffel conformal mapping (2009, unknown): “in [26] has been actively developed for plates [27], shells [28], plate cracking and 3D continuum [29], 2D elasto-plasticity [30], plate vibration [31], and shown to yield excellent results, as summarized in the review paper recently published in [29].”
An edge‐based smoothed finite element method for primal–dual shakedown analysis of structures (2010, methodology): “The CS-FEM has also been extended for general n-sided polygonal elements (nSFEM or nCS-FEM) [23], dynamic analyses [24], incompressible materials using selective integration [25, 26], plate and shell analyses [27–30], and further extended for the extended finite element method (XFEM) to solve fractu”
A normed G space and weakened weak (W2) formulation of a cell-based smoothed point interpolation method (2009, methodology): “…in nodal integrated meshfree method [Chen et al. (2001)], and in the development of smoothed FEM models (SFEM [Liu, Dai and Nguyen (2007); Liu and Nguyen et al. (2007); Dai, Liu and Nguyen (2007); Dai and Liu (2007)], NS-FEM [Liu and Nguyen et al. (2008)], and ES-FEM [Liu, Nguyen and Lam (2008)]).”
ADDITIONAL PROPERTIES OF THE NODE-BASED SMOOTHED FINITE ELEMENT METHOD (NS-FEM) FOR SOLID MECHANICS PROBLEMS (2009, methodology): “The CS-FEM has been extended for general n-sided polygonal elements (nSFEM or nCS-FEM) [Dai et al. (2007)], dynamic analyses [Dai and Liu (2007)], incompressible materials using selective integration [Nguyen-Thoi et al. (2007); Nguyen-Xuan et al. (2008b)], plate and shell analyses [Cui et al.…”