The finite element analysis of elasto‐plastic materials by use of dislocation dipole systems

The finite element analysis of elasto‐plastic materials by use of dislocation dipole systems It is shown how the stress field due to any prescribed continuous distribution of dislocation dipoles can be determined. This technique then forms the basis of a general method of solution of elasto‐plastic material problems. The presentation is limited to situations which conform to either plane stress or strain conditions. Some results are obtained for relatively simple geometrical and loading configurations and compared with classical plasticity solutions. Finally, the method is applied to the problem of a circular hole in a finite strip under tension. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal for Numerical Methods in Engineering Wiley

The finite element analysis of elasto‐plastic materials by use of dislocation dipole systems

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Publisher
Wiley
Copyright
Copyright © 1974 John Wiley & Sons, Ltd
ISSN
0029-5981
eISSN
1097-0207
DOI
10.1002/nme.1620080207
Publisher site
See Article on Publisher Site

Abstract

It is shown how the stress field due to any prescribed continuous distribution of dislocation dipoles can be determined. This technique then forms the basis of a general method of solution of elasto‐plastic material problems. The presentation is limited to situations which conform to either plane stress or strain conditions. Some results are obtained for relatively simple geometrical and loading configurations and compared with classical plasticity solutions. Finally, the method is applied to the problem of a circular hole in a finite strip under tension.

Journal

International Journal for Numerical Methods in EngineeringWiley

Published: Jan 1, 1974

References

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