A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems

By Guirong Liu, Trung Nguyen-Thoi, Hung Nguyen-Xuan, Khin Yong Lam. 2009

623 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/82d5e117d8156a5aee2c5f05ad088935add512cd

How researchers see this paper

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

In Electrical and Electronic Engineering

1. Guirong Liu
2. Trung Nguyen-Thoi
3. Hung Nguyen-Xuan
4. Timon Rabczuk
5. Guiyong Zhang
6. Stéphane P.A. Bordas
7. Lei Chen
8. N. Nguyen‐Thanh

In Mechanics of Materials

1. Hung Nguyen-Xuan
2. Trung Nguyen-Thoi
3. Guirong Liu
4. Timon Rabczuk
5. Stéphane P.A. Bordas
6. N. Nguyen‐Thanh
7. H. Vu-Do
8. E. Ooi

Citations in the corpus

• A theoretical study on the smoothed FEM (S‐FEM) models: Properties, accuracy and convergence rates (2010, methodology): “From these studies, the following conclusions can be drawn: • The S-FEM models are created using the linear PIM for assuming the displacement field without mapping, and the smoothing projection for strain field modification.”
• Computation of limit and shakedown loads using a node‐based smoothed finite element method (2012, methodology): “k/ associated with the node k is then created by combining the nearest quadrilaterals of the elements surrounding node k [16].”
• A G space theory and a weakened weak (W2) form for a unified formulation of compatible and incompatible methods: Part II applications to solid mechanics problems (2010, methodology): “Such models have already been created and known as the SFEM [8, 16, 17], NS-FEM [5, 6], and ES-FEM [6].”
• Analysis of functionally graded plates using an edge-based smoothed finite element method (2011, methodology): “[36] to stabilize a direct nodal integration in mesh-free methods (or SCNI), into the FEM to formulate a family of smoothed FEM (S-FEM) models with different applications such as a cell/element-based smoothed FEM (SFEM or CS-FEM) [37], a node-based smoothed FEM (NS-FEM) [47], an edge-based smoothed ”
• A normed G space and weakened weak (W2) formulation of a cell-based smoothed point interpolation method (2009, methodology): “The CS-RPIM(T2L) can perform very well for thin plates [Cui and Liu et al. (2009)].”
• A cell‐based smoothed finite element method for kinematic limit analysis (2010, methodology): “In addition, the strain smoothing technique has also been applied to the FEM settings to formulate various smoothed finite element methods, including node-based SFEM (NS-FEM) with the upper bound property in strain energy [28], and the edge-based SFEM (ES-FEM) [29,30] and the face-based SFEM (FS-FEM”
• An edge-based smoothed tetrahedron finite element method (ES-T-FEM) for 3D static and dynamic problems (2013, methodology): “In our ES-T/NS-FEM, we use the NS-FEM [33]equations to calculate the stiffness matrix related to λ-part, following exactly the same procedure given in [9] but replacing D by Dλ.”
• Virtual and smoothed finite elements: A connection and its application to polygonal/polyhedral finite element methods (2015, methodology): “formulated a series of SFEM models: cell-based SFEM (CSFEM) [7], node-based SFEM [29], edge-based SFEM [30], face-based SFEM [31] and alpha-FEM [32].”