Advances in Meshfree and X-FEM Methods V2 : Proceedings of the 1st Asian Workshop on Meshfree Methods, Singapore, 16-18 December 2002

by Liu, G. R.

• ISBN13: 9789812382474
• ISBN10: 981238247X
• Format: Paperback
• Copyright: 2003-02-01
• Publisher: World Scientific Pub Co Inc

Summary

This book contains 36 articles covering most of the topics in the rapidly developing areas of meshfree methods and extended finite element methods (X-FEM). These topics include domain discretization, boundary discretization, combined domain/boundary discretization, meshfree particle methods, collocation methods, X-FEM, etc. Papers on issues related to implementation and coding of meshfree methods are also presented. The areas of applications of meshfree methods include solving general partial differential equations, the mechanics of solids and structures, smart material/structures, soil-structures, fracture mechanics, fluid dynamics, impact, penetration, micro-fluidics, etc. In addition, techniques for field variable interpolation, such as the moving least squares (MLS) approximation, the point interpolation method (PIM), and radial PIM are reported. Contents: Meshfree Shape Functions for Weak Formulation, Strong Formulation; Meshfree Methods for Smart Materials/Structures; Meshfree Methods for Fracture Analysis; Meshfree Methods for Membrances, Plates & Shells; Meshfree Methods for Soil; Meshfree Methods for CFD; Boundary Meshfree Methods; Coding, Error Estimation, Parallisation; Meshfree Particle Methods; X-FEM. Readership: Graduate and undergraduate students, reserchers, academics, lecturers and engineers in civil engineering, engineering mechanics and mechanical engineering.

Table of Contents

Preface
The Editor
Organization
Seamless and Parallel Computing by Using Free Mesh Method: A Kind of Meshless Technique	p. 3
Analysis of 3D Solid with Complicated Geometry using Finite Cover Method	p. 7
A Meshless Method Using Radial Basis Functions for Solving Wave Equations	p. 15
Meshless Computational Method By using Radial Basis Functions	p. 16
Recent Advances in the Method of Fundamental Solutions	p. 17
A Study on the Patch Test of Point Interpolation Methods	p. 23
A Comparison Between Radial Point Interpolation Method (RPIM) and Kriging Based Meshfree Method	p. 29
Radial Basis Point Interpolation Collocation Method For 2-D Solid Problem	p. 35
Point Interpolation Mesh Free Method for Static and Frequency Analysis of Two-dimensional Piezoelectric Structures	p. 43
A Hybrid Meshless-Differential Order Reduction (HM-DOR) Method for Deformation Control of Smart Circular Plate by Sensors / Actuators	p. 49
Application of 3D Free Mesh Method to Fracture Analysis of Concrete	p. 57
Meshless Analysis Integrate System for Structural and Fracture Mechanics Analysis	p. 63
Application of 2- Dimensional Crack Propagation Problem using Free Mesh Method	p. 69
Analysis of Membrane Structures with Large Sliding Cable using Mixed Displacement Formulation and EFGM	p. 77
The Effects of the Enforcement of Compatibility in the Radial Point Interpolation Method for Analyzing Mindlin Plates	p. 84
A Mesh Free Method for Dynamic Analysis of Thin Shells	p. 90
A Conforming Point Interpolation Method for Analyzing Spatial Thick Shell Structures	p. 96
Characteristics of Localized Behavior of Saturated Soil with Pore Water via Mesh-Free Method	p. 109
Radial Point Interpolation Method for Interface Problems	p. 115
Application of Free Mesh Method to Viscoplastic Flow Analysis of Fresh Concrete	p. 123
A Meshless Local Radial Point Interpolation Method (LRPIM) for Fluid Flow Problems	p. 129
Application of Meshless Point Interpolation Method with Matrix Triangularization Algorithm to Natural Convection	p. 135
The Solution for Convection-Diffusion Equations using the Quasi-Interpolation Scheme with Local Polynomial Reproduction Based on Moving Least Squares	p. 140
Regular Hybrid Boundary Node Method	p. 151
Radial Boundary Node Method for Elastic Problem	p. 161
A Hybrid Boundary Point Interpolation Method (HBPIM) and its Coupling with EFG Method	p. 167
Error Regulation in EFGM Adaptive Scheme	p. 179
Object Oriented Development of FMM3D: Foundation Software for Parallel 3D Free Mesh Method	p. 194
An Approach for Nodal Selection in MFree2D	p. 200
Coupling Meshfree Particle Method with Molecular Dynamics Novel Approach for Multiscale Simulations	p. 211
Adaptive Smoothed Particle Hydrodynamics with Strength of Materials, Part I	p. 217
Adaptive Smoothed Particle Hydrodynamics with Strength of Materials, Part II	p. 223
Numerical Simulation of Perforation of Concrete Slabs by Steel Rods using SPH Method	p. 229
Three Dimensional Crack Growth Analysis using Overlaying Mesh Method and X-FEM	p. 239
Buckling Analysis of Composite Laminates with Delaminations using X-FEM	p. 245
Boundary Condition Enforcement in Voxel-Type FEM	p. 251
Author Index	p. 257
Table of Contents provided by Blackwell. All Rights Reserved.