Extended Meshfree Method for Elastic and Inelastic Media

2006 ◽  
pp. 17-38 ◽  
Author(s):  
Jiun-Shyan Chen ◽  
Dongdong Wang
Keyword(s):  
Meshfree Method

Investigating Applicability of the Meshfree Method to the Structural Analysis of Tires

2012 ◽  
Vol 40 (2) ◽  
pp. 60-82
Author(s):  
Ken Ishihara ◽  
Takehiro Noda ◽  
Hiroyuki Sakurai
Keyword(s):  
Meshfree Method ◽  
Alternative Methods ◽  
The Finite Element Method ◽  
Tire Industry ◽  
Academic Communities ◽  
The Past ◽  
New Methodologies ◽  
Tire Modeling ◽  
Point Data ◽  
Conducting Research

ABSTRACT In contrast to the finite element method (FEM), which is widely used in the tire industry nowadays, some alternative methods have been proposed by academic communities over the past decade or so. The meshfree method is one of those new methodologies. Originally intended to remove the burden of creating the mesh that is inherent in FEM, the meshfree method relies on the point data rather than the mesh, which makes it much easier to discretize the geometry. In addition to those modeling issues, it has been found that the meshfree method has several advantages over FEM in handling geometrical nonlinearities, continuities, and so forth. In accordance with those emerging possibilities, the authors have been conducting research on the matter. This article describes the results of the authors' preliminary research on the applicability of the meshfree method to tire analyses, which include the theoretical outline, the strategy of tire modeling, numerical results, comparisons with results of FEM, and conclusions.

Partially Filled Flow Simulation Using Meshfree Method for High Viscosity Fluid in Plastic Mixer

2019 ◽  
Vol 34 (2) ◽  
pp. 279-289
Author(s):  
K. Sekiyama ◽  
S. Yamada ◽  
T. Nakagawa ◽  
Y. Nakayama ◽  
T. Kajiwara
Keyword(s):  
Flow Simulation ◽  
Meshfree Method ◽  
High Viscosity ◽  
Viscosity Fluid

Meshfree method based on discrete gas-kinetic scheme to simulate incompressible/compressible flows

2021 ◽  
Vol 33 (1) ◽  
pp. 017112
Author(s):  
Ningyu Zhan ◽  
Rongqian Chen ◽  
Yancheng You
Keyword(s):  
Compressible Flows ◽  
Kinetic Scheme ◽  
Meshfree Method

Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries

2021 ◽  
Vol 94 ◽  
pp. 635-655
Author(s):  
Víctor Bayona ◽  
Mario Sánchez-Sanz ◽  
Eduardo Fernández-Tarrazo ◽  
Manuel Kindelan
Keyword(s):  
Meshfree Method ◽  
High Order ◽  
Complex Geometries ◽  
Reactive Flows ◽  
Combustion Modelling

VARIATIONAL MULTISCALE ANALYSIS OF SOLIDS WITH STRAIN GRADIENT PLASTIC EFFECTS USING MESHFREE APPROXIMATION

2005 ◽  
Vol 02 (04) ◽  
pp. 601-626 ◽  
Author(s):  
JEOUNG-HEUM YEON ◽  
SUNG-KIE YOUN
Keyword(s):  
Strain Gradient ◽  
Partition Of Unity ◽  
Meshfree Method ◽  
Internal Variable ◽  
Plasticity Theory ◽  
Fine Scale ◽  
Meshfree Approximation ◽  
Gradient Effect ◽  
Classical Plasticity ◽  
Variational Form

A meshfree multiscale method is presented for efficient analysis of solids with strain gradient plastic effects. In the analysis of strain gradient plastic solids, localization due to increased hardening of strain gradient effect appears. Chen-Wang theory is adopted, as a strain gradient plasticity theory. It represents strain gradient effects as an internal variable and retains the essential structure of classical plasticity theory. In this work, the scale decomposition is carried out based on variational form of the problem. Coarse scale is designed to represent global behavior and fine scale to represent local behavior and gradient effect by using the intrinsic length scale. From the detection of high strain gradient region, fine scale region is adopted. Each scale variable is approximated using meshfree method. Meshfree approximation is well suited for adaptivity. As a method of increasing resolution, partition of unity based extrinsic enrichment is used. Each scale problem is solved iteratively. The proposed method is applied to bending of a thin beam and bimaterial shear layer and micro-indentation problems. Size effects can be effectively captured in the results of the analysis.

?Smoothed particle hydrodynamics ? a meshfree method?

2004 ◽  
Vol 33 (6) ◽  
pp. 491-491 ◽  
Author(s):  
M. B. Liu ◽  
G. R. Liu ◽  
Shaofan Li
Keyword(s):  
Smoothed Particle Hydrodynamics ◽  
Meshfree Method ◽  
Particle Hydrodynamics ◽  
Smoothed Particle
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