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Mathematics and Mechanics of Granular Materials pp 167–184Cite as

Bifurcation analysis for shear localization in non-polar and micro-polar hypoplastic continua

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Abstract

In this paper, shear localization in granular materials is studied as a bifurcation problem based on a conventional (non-polar) and a micro-polar continuum description. General bifurcation conditions are formulated for a non-polar hypoplastic model and its micro-polar continuum extension. These conditions de.ne stress, couple stress and density states at which weak discontinuity bifurcation may occur. The stress states for bifurcation are then compared with the peak stress states, which define a bounding surface for the accessible stress domain in the principal stress space. The results show that, in a micro-polar continuum description, the constitutive model may no longer be associated with weak discontinuity bifurcation.

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Authors and Affiliations

  1. School of Engineering, The University of Newcastle, Callaghan, NSW, 2308, Australia

    Wenxiong Huang, Mohammed Hjiaj & Scott W. Sloan

Authors
  1. Wenxiong Huang
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  2. Mohammed Hjiaj
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  3. Scott W. Sloan
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Editor information

Editors and Affiliations

  1. University of Wollongong, Australia

    James M. Hill

  2. McGill Univeristy, Montreal, ON, Canada

    A.P.S. Selvadurai

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Huang, W., Hjiaj, M., Sloan, S.W. (2005). Bifurcation analysis for shear localization in non-polar and micro-polar hypoplastic continua. In: Hill, J.M., Selvadurai, A. (eds) Mathematics and Mechanics of Granular Materials. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4183-7_10

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  • DOI: https://doi.org/10.1007/1-4020-4183-7_10

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-3781-8

  • Online ISBN: 978-1-4020-4183-9

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