Applied Mathematics and Optimization

, Volume 10, Issue 1, pp 203–246

Elastic plastic deformation

  • Robert Hardt
  • David Kinderlehrer

DOI: 10.1007/BF01448387

Cite this article as:
Hardt, R. & Kinderlehrer, D. Appl Math Optim (1983) 10: 203. doi:10.1007/BF01448387


The equilibrium configuration of an elastic perfectly plastic body may be described by its stress or its strain. By use of a first variation formula, a description of the strain tensor, not necessarily unique, is obtained from the stress, which is unique.

Most aspects of this work extend to more general elastic plastic models, in particular ones which lack convexity.

Copyright information

© Springer-Verlag New York Inc 1983

Authors and Affiliations

  • Robert Hardt
    • 1
  • David Kinderlehrer
    • 1
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA