Generalized method of separation of variables on the nonlinear elastic-plastic wave motion


Pala Y.

NONLINEAR DYNAMICS, vol.14, no.1, pp.49-56, 1997 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 1997
  • Doi Number: 10.1023/a:1008260324615
  • Journal Name: NONLINEAR DYNAMICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.49-56
  • Bursa Uludag University Affiliated: Yes

Abstract

The method of separation of variables is developed in addition to the Karman method and the method of characteristics for the wave motion of uniaxial stress in rods. Rate-independent theory is considered and it is shown that the plastic wave speed is independent of the constant n in the stress-strain law. Stresses are determined in explicit forms for two cases.