Meshfree and particle methods and their applications

By Shaofan Li, Wing Kam Liu. 2002

911 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/485843510d0c2e7d79ab4dd4f7803e658007c125

How researchers see this paper

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

In Civil and Structural Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Potential Problems by Singular Boundary Method Satisfying Moment Condition (2009, methodology): “Without a need of harassing mesh generation in the traditional FEM [Zienkiewicz and Taylor (1991)] and BEM [Ong and Lim (2005)], meshless methods [Li and Liu (2002)] have attracted much attention in recent years.”
Reproducing kernel element method Part II: Globally conforming Im/Cn hierarchies (2004, methodology): “This new technology is now termed as reproducing kernel element method (RKEM) (see Part I), which is in contrast to the early meshfree reproducing kernel particle method (RKPM) [12,17–19,21,22].”
Rheology of red blood cell aggregation by computer simulation (2006, methodology): “In particular, we implemented the meshfree reproducing kernel particle method (RKPM) [24] [25] [26] [27] [28] [29] [30] [31] for the solid instead of the finite element method used in [11] [10], to handle the large deformation of RBCs.”
A new weight‐function enrichment in meshless methods for multiple cracks in linear elasticity (2012, background): “A good number of review papers [15, 19, 20] and books [21] on meshfree methods have been published in the recent years.”
Modeling incompressible flows using a finite particle method (2005, background): “[21], Li and Liu [22], and Liu and Liu [23] provided detailed reviews on the meshless methods.”
Stabilized conforming nodal integration in the natural‐element method (2004, neutral): “[7] and Li and Liu [8].”
GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE (2004, methodology): “For a survey of application of these methods, we refer to [Li and Liu (2002)].”
Bridging Scale Methods for Nanomechanics and Materials (2006, methodology): “As shown in Fig. 4, the system is discretized with 60 particles using a meshfree interpolation [ 5 ].”
On criteria for dynamic adiabatic shear band propagation (2007, methodology): “Currently, the most successful dynamic ASB simulations are using multi-physics modeling, i.e., different constitutive relations are used for the material inside and outside the ASB to take into account the phase-transformation undergoing inside the ASB (e.g., Zhou et al., 1996b; Li et al., 2002).”