A face-based smoothed finite element method (FS-FEM) for visco-elastoplastic analyses of 3D solids using tetrahedral mesh

By Trung Nguyen-Thoi, Guirong Liu, H. Vu-Do, Hung Nguyen-Xuan. 2009

167 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d7e31955135baf492cc0f79e5aacdb7b5deb964c

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

An edge-based smoothed finite element method for visco-elastoplastic analyses of 2D solids using triangular mesh (2009, methodology): “This formulation is quite straightforward to extend for the 3D problems using tetrahedral elements [21,23].”
An edge-based smoothed tetrahedron finite element method (ES-T-FEM) for 3D static and dynamic problems (2013, methodology): “To reduce this overly-soft behavior, an edge-based smoothed finite element (ES-FEM) [35] and face-based smoothed finite element (FS-FEM) [36,37] were thus invented for 2D and 3D problems, respectively.”
A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates (2010, methodology): “Therefore in general, whentheefficiencyofcomputation(computationtimeforthe same accuracy) in terms of the error estimator versus computational cost is considered, the S-FEM models are more efficient than the counterpart FEM models [43,46,47, 51 ].”
An n‐sided polygonal edge‐based smoothed finite element method (nES‐FEM) for solid mechanics (2010, methodology): “In addition, the idea of the ES-FEM is quite straightforward to extend for the 3D problems using tetrahedral elements to give a so-called the face-based smoothed finite element method (FS-FEM) [36, 37].”
A theoretical study on the smoothed FEM (S‐FEM) models: Properties, accuracy and convergence rates (2010, background): “Because the smoothing domains have more supporting nodes than the elements have, the bandwidths of stiffness matrix in the S-FEM models (NS-FEM, ES-FEM and FS-FEM) are larger than those of the FEM models and hence the computational cost of the S-FEM models are also higher for models of the same sets”
ADDITIONAL PROPERTIES OF THE NODE-BASED SMOOTHED FINITE ELEMENT METHOD (NS-FEM) FOR SOLID MECHANICS PROBLEMS (2009, methodology): “…(or strain) field used in NS-FEM can be used as a representation of exact stress (or strain) field in the adaptive analysis or error estimations [Nguyen-Thoi et al. (2009c)]; (4) In particular, NS-FEM can use the three-node linear triangular element for 2D problems and four-node linear…”
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.”
Computation of limit and shakedown loads using a node‐based smoothed finite element method (2012, methodology): “then extended the cell/element-based idea of smoothing domains in the CS-FEM to node-based, edge-based, facebased, and partly node-based ones with different applications to give, respectively, a node-based smoothed FEM (NS-FEM) [16–22, 30], an edge-based smoothed FEM (ES-FEM) [23–27, 30], and a face”