University of Illinois Urbana-Champaign

On shear band nucleation and finite propagation speed of thermal disturbances

Cherukuri, Harishchandra P.; Shawki, Tarek G.

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https://hdl.handle.net/2142/112489

Description

Title
On shear band nucleation and finite propagation speed of thermal disturbances
Author(s)
  • Cherukuri, Harishchandra P.
  • Shawki, Tarek G.
Issue Date
1995-05
Keyword(s)
  • Shear Band Nucleation
  • Finite Propagation Speed
  • Thermal Disturbances
Abstract
This paper examines the onset of shear flow localization in thermal viscoplastic materials at high rates of loading while accounting for the finite speed of thermal wave propagation. It is well known that the Fourier's classical law of heat conduction implies that thermal disturbances travel with infinite speed. We introduce a modification to the classical Fourier law which renders a finite speed for thermal wave propagation. We then utilize the energy viewpoint of dynamic localization introduced in Shawki (1994a) and Shawki (1994b) as well as a linear stability analysis to determine the necessary conditions for the onset of localization. An exact linear solution is obtained for adiabatic deformations of thermal viscoplastic materials with no strain dependence. A matched asymptotic expansion is obtained for the general case involving non-adiabatic deformations of the foregoing class of materials. The foregoing solutions illustrate the effect of finite speed of thermal wave propagation on localization initiation.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 792
  • 1995-6014
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112489
Copyright and License Information
Copyright 1995 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.