Archive of Applied Mechanics

, Volume 71, Issue 8, pp 555–566

An analysis of the plane-strain compression of a three-layer strip

  • S. Alexandrov
  • G. Mishuris
  • W. Miszuris

DOI: 10.1007/s004190100162

Cite this article as:
Alexandrov, S., Mishuris, G. & Miszuris, W. Archive of Applied Mechanics (2001) 71: 555. doi:10.1007/s004190100162

Summary

 The problem considered here is that of the plane-strain compression of a long symmetric strip of a three-layered material between rigid, parallel, rough plates. Two combinations of layers are examined: (a) a viscoplastic material placed between two layers of a rigid/perfectly plastic material, and (b) a rigid/perfectly plastic material placed between two layers of a viscoplastic material. Closed-form solutions are presented for each combination, and qualitative differences between these solutions and solutions obtained for homogeneous materials are discussed. A possible effect of asymptotic behaviour of the solution in the vicinity of maximum-friction surfaces on the general structure of the solution is mentioned.

Keywords Perfect Plasticity, Viscoplasticity, Strip Compression, Interface Conditions

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • S. Alexandrov
    • 1
  • G. Mishuris
    • 2
  • W. Miszuris
    • 2
  1. 1.Institute for Problems in Mechanics, RAS, Vernandski Pr. 101, 117526, Moscow, RussiaRU
  2. 2.Department of Mathematics, Rzeszow University of Technology W. Pola 2, PL-35-959, Rzeszow, Poland e-mail: miszuris@prz.rzeszow.plPL