Propagation of the nonlinear plastic stress waves in semi-infinite bar

This paper presents the propagation longitudinal nonlinear plastic stress in thin semi-infinite rod or in wire. The rod is characterized by a nonlinear strain hardening model within the scope a plastic strain. The modulus of strain hardening is a decreasing function of the strain. The frontal bar en...

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Bibliographic Details
Main Authors: Edward Włodarczyk, Marcin Sarzyński
Format: Article
Language:English
Published: Wojskowa Akademia Techniczna, Redakcja Wydawnictw WAT, ul. gen. S. Kaliskiego 2, 00-908 Warszawa 2017-03-01
Series:Biuletyn Wojskowej Akademii Technicznej
Subjects:
Online Access:http://biuletynwat.pl/gicid/01.3001.0009.9303
Description
Summary:This paper presents the propagation longitudinal nonlinear plastic stress in thin semi-infinite rod or in wire. The rod is characterized by a nonlinear strain hardening model within the scope a plastic strain. The modulus of strain hardening is a decreasing function of the strain. The frontal bar end is suddenly launching to the velocity V, and subsequently moves with this one. General solution of this boundary value problem of the Lagrangian coordinate (material description) and of the Eulerian one (spatial description) has been presented. There has been carried out the physical interpretation of the obtained results by means of Lagrangian and Eulerian methods. The results of this paper may be utilized in scientific researches and in engineering practice.
ISSN:1234-5865