A Boundary Element Method Without Internal Cells for Two-Dimensional and Three-Dimensional Elastoplastic Problems
Author:
- 25 October 2001
- journal article
- Published by Wiley in Journal of Applied Mechanics
- Vol. 69 (2) , 154-160
Abstract
In this paper, a new and simple boundary element method without internal cells is presented for the analysis of elastoplastic problems, based on an effective transformation technique from domain integrals to boundary integrals. The strong singularities appearing in internal stress integral equations are removed by transforming the domain integrals to the boundary. Other weakly singular domain integrals are transformed to the boundary by approximating the initial stresses with radial basis functions combined with polynomials in global coordinates. Three numerical examples are presented to demonstrate the validity and effectiveness of the proposed method.Keywords
This publication has 25 references indexed in Scilit:
- An effective boundary element algorithm for 2D and 3D elastoplastic problemsInternational Journal of Solids and Structures, 2000
- Some recent results and proposals for the use of radial basis functions in the BEMEngineering Analysis with Boundary Elements, 1999
- Recent developments in the field-boundary element method for finite/small strain elastoplasticityInternational Journal of Solids and Structures, 1994
- Improvement on dual reciprocity boundary element method for equations with convective termsCommunications in Numerical Methods in Engineering, 1994
- A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral EquationsJournal of Applied Mechanics, 1992
- A boundary element analysis of the axisymmetric extrusion processesInternational Journal of Non-Linear Mechanics, 1991
- A new BEM formulation for tow‐ and three‐dimensional elastoplasticity using particular integrasInternational Journal for Numerical Methods in Engineering, 1988
- A quadratic formulation for two-dimensional elastoplastic analysis using the boundary integral equation methodThe Journal of Strain Analysis for Engineering Design, 1986
- Advanced boundary element analysis of two‐ and three‐dimensional problems of elasto‐plasticityInternational Journal for Numerical Methods in Engineering, 1986
- On the application of the boundary element method to plasticityApplied Mathematical Modelling, 1979