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Effects of elastic unloading on multiple necking in tensile bars

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Author

Summary, in English

The deformation of round tensile bars subject to dynamic loading is studied numerically using two different plasticity theories: J(2)-flow theory and J(2)-deformation theory. Time development of neck localization is visualized and a comparison of the necking patterns obtained using the two different constitutive models is presented. The possibility of using J(2)-deformation theory as an alternative to J(2)-flow theory to model the dynamic behaviour of tensile bars subject to high rate deformation is investigated and the effects of elastic unloading are discussed. Influence of specimen geometry and initial thickness imperfections is also considered. The effects of elastic unloading on multiple necking are of particular interest, since elastic unloading may serve as a restricting factor regarding the growth of multiple neck localizations. In the present analysis, multiple necking is found to appear using both J(2)-flow theory and J(2)-deformation theory. The use of stubby bars leads to similar necking patterns when comparing the results obtained with J(2)-flow theory and J(2)-deformation theory. For slender bars subject to certain loading conditions a larger number of necks is obtained when J(2)-deformation theory is applied rather than J(2)-flow theory. In addition, results of simulations near the ideal-plastic limit are discussed as well as results where the yield stress is varied. (C) 2003 Elsevier Ltd. All rights reserved.

Department/s

Publishing year

2004

Language

English

Pages

1353-1367

Publication/Series

International Journal of Impact Engineering

Volume

30

Issue

10

Document type

Journal article

Publisher

Elsevier

Topic

  • Applied Mechanics

Keywords

  • elastic unloading
  • numerical
  • J(2)-flow theory and J(2)-deformation theory
  • analysis
  • dynamic response
  • multiple necking

Status

Published

ISBN/ISSN/Other

  • ISSN: 1879-3509