Vol. 11, No. 1, 2016

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 4, 541–572
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
Author index
To appear
Other MSP journals
A study of elastic-plastic deformation in the plate with the incremental theory and the meshless methods

Malgorzata A. Jankowska and Jan Adam Kołodziej

Vol. 11 (2016), No. 1, 41–60

The paper concerns an application of the successive-approximation iteration process together with the meshless methods, i.e., the method of fundamental solutions (MFS) and the method of particular solutions (MPS), for the analysis of strains and stresses in the plate with some kind of narrowing subjected to uniaxial tension. The elastoplastic boundary-value problem is based on the incremental theory of plasticity with the stress-strain relation given in the form proposed by Chakrabarty. In the iteration procedure a sequence of the successive distributions of the plastic strain increments corresponding to the appropriate increments of load is produced. A final set of the plastic strain increments is further used to obtain the total plastic strains. Furthermore, the solution of the elastoplastic boundary-value problem can be simultaneously taken into account when the stress state of the plate is required. Such approach is designated here to identify the regions of elastic and plastic behavior of the material.

meshless methods, method of fundamental solutions, successive-approximation iteration process, elastic-plastic deformation, incremental theory
Received: 2 January 2015
Revised: 29 July 2015
Accepted: 17 August 2015
Published: 13 January 2016
Malgorzata A. Jankowska
Institute of Applied Mechanics
Poznan University of Technology
Jana Pawla II 24
60-965 Poznan
Jan Adam Kołodziej
Institute of Applied Mechanics
Poznan University of Technology
Jana Pawła II 24
60-965 Poznan