Topic
Meshfree methods
About: Meshfree methods is a research topic. Over the lifetime, 2216 publications have been published within this topic receiving 69596 citations.
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TL;DR: In this paper, the meshless local radial point interpolation method was introduced to model eddy-current problems for the first time, and results were compared with those from the ordinary finite-element simulation and the analytical solution.
Abstract: This paper introduces the meshless local radial point interpolation method to model eddy-current problems for the first time. The formulation is described and results are compared with those from the ordinary finite-element simulation and the analytical solution
25 citations
TL;DR: In this article, a smoothed particle hydrodynamics (SPH) method is used to model the cutting behavior of single hexa-octahedral diamond cutting grains, and the material behavior at low cutting depths is characterized using experimental data and simulations of micro-Vickers indenter tests.
25 citations
TL;DR: A meshless method based on radial basis functions in a finite difference mode (RBF-FD) has been developed for the incompressible Navier-Stokes (N-S) equations in primitive variable form and a novel concept of adaptive shape parameter (ASP) for RBF functions is introduced.
25 citations
TL;DR: Two numerical techniques, using the hybrid displacement shape function and the modified variational form, are developed and discussed in this paper to satisfy the combined conditions of displacement compatibility and formulations of several coupled methods are presented.
25 citations
TL;DR: Although both methods are able to give a good prediction, it is observed that, under very large deformation of the medium, GMM lacks robustness due to its meshfree natrue, which makes the definition of the meshless shape functions more difficult and expensive than in MPM.
Abstract: The simulation of large deformation problems, involving complex history-dependent constitutive laws, is of paramount importance in several engineering fields. Particular attention has to be paid to the choice of a suitable numerical technique such that reliable results can be obtained. In this paper, a Material Point Method (MPM) and a Galerkin Meshfree Method (GMM) are presented and verified against classical benchmarks in solid mechanics. The aim is to demonstrate the good behavior of the methods in the simulation of cohesive-frictional materials, both in static and dynamic regimes and in problems dealing with large deformations. The vast majority of MPM techniques in the literatrue are based on some sort of explicit time integration. The techniques proposed in the current work, on the contrary, are based on implicit approaches, which can also be easily adapted to the simulation of static cases. The two methods are presented so as to highlight the similarities to rather than the differences from “standard” Updated Lagrangian (UL) approaches commonly employed by the Finite Elements (FE) community. Although both methods are able to give a good prediction, it is observed that, under very large deformation of the medium, GMM lacks robustness due to its meshfree natrue, which makes the definition of the meshless shape functions more difficult and expensive than in MPM. On the other hand, the mesh-based MPM is demonstrated to be more robust and reliable for extremely large deformation cases.
25 citations