Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.cma.2005.07.021
Title: Inelastic analysis of 2D solids using a weak-form RPIM based on deformation theory
Authors: Dai, K.Y. 
Liu, G.R. 
Han, X.
Li, Y.
Keywords: Material nonlinearity
Meshfree method
Point interpolation
Radial basis function (RBF)
Stress distribution
Issue Date: 1-Jul-2006
Source: Dai, K.Y., Liu, G.R., Han, X., Li, Y. (2006-07-01). Inelastic analysis of 2D solids using a weak-form RPIM based on deformation theory. Computer Methods in Applied Mechanics and Engineering 195 (33-36) : 4179-4193. ScholarBank@NUS Repository. https://doi.org/10.1016/j.cma.2005.07.021
Abstract: A radial point interpolation method (RPIM) is presented for inelastic analysis of 2D problems. In this method, the problem domain is represented by a set of scattered nodes and the field variable is interpolated using the field values of local supporting nodes. Radial basis function (RBF) augmented with polynomials is used to construct the shape functions. These shape functions possess delta function property that makes the numerical procedure very efficient and many techniques used in the finite element method can be adopted easily. Galerkin weak-form formulation is applied to derive the discrete governing equations and integration is performed using Gauss quadrature and stabilized nodal integration. The pseudo-elastic method proposed by H. Jahed et al. is employed for the determination of stress field and Hencky's total deformation theory is used to define the effective material parameters. Treated as field variables, these parameters are functions of the final state of stress fields that can be obtained in an iterative manner based on pseudo-linear elastic analysis from one-dimensional uniaxial material curve. A very long thick-walled cylinder and a V-notched tension specimen are analyzed and their stress distributions match well with those obtained by finite element commercial software ANSYS or the available literature. © 2005 Elsevier B.V. All rights reserved.
Source Title: Computer Methods in Applied Mechanics and Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/51438
ISSN: 00457825
DOI: 10.1016/j.cma.2005.07.021
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

21
checked on Dec 6, 2017

WEB OF SCIENCETM
Citations

16
checked on Nov 22, 2017

Page view(s)

49
checked on Dec 10, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.