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Uniqueness and localization-I. Associative and non-associative elastoplasticity

Publication ,  Journal Article
Bigoni, D; Hueckel, T
Published in: International Journal of Solids and Structures
January 1, 1991

Localization of deformation into a planar band in the incremental response of elasto-plastic material is studied in the case of small strains and rotations. The critical hardening modulus for localization is given in an explicit form (uncoupled from the band normal) for an arbitrary rate independent non-associative plasticity. Loss of uniqueness of the response is investigated in terms of positiveness of the second order work density. Criteria for loss of second order work positiveness and localization are compared for plane stress and plane strain. In these cases, for the associative flow rule, the threshold for the second order work positiveness coincides with the threshold for shear band formation. This coincidence may not, however, occur if localization into splitting mode is attained. © 1991.

Duke Scholars

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Published In

International Journal of Solids and Structures

DOI

ISSN

0020-7683

Publication Date

January 1, 1991

Volume

28

Issue

2

Start / End Page

197 / 213

Related Subject Headings

  • Mechanical Engineering & Transports
  • 40 Engineering
  • 09 Engineering
 

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Bigoni, D., & Hueckel, T. (1991). Uniqueness and localization-I. Associative and non-associative elastoplasticity. International Journal of Solids and Structures, 28(2), 197–213. https://doi.org/10.1016/0020-7683(91)90205-T
Bigoni, D., and T. Hueckel. “Uniqueness and localization-I. Associative and non-associative elastoplasticity.” International Journal of Solids and Structures 28, no. 2 (January 1, 1991): 197–213. https://doi.org/10.1016/0020-7683(91)90205-T.
Bigoni D, Hueckel T. Uniqueness and localization-I. Associative and non-associative elastoplasticity. International Journal of Solids and Structures. 1991 Jan 1;28(2):197–213.
Bigoni, D., and T. Hueckel. “Uniqueness and localization-I. Associative and non-associative elastoplasticity.” International Journal of Solids and Structures, vol. 28, no. 2, Jan. 1991, pp. 197–213. Scopus, doi:10.1016/0020-7683(91)90205-T.
Bigoni D, Hueckel T. Uniqueness and localization-I. Associative and non-associative elastoplasticity. International Journal of Solids and Structures. 1991 Jan 1;28(2):197–213.
Journal cover image

Published In

International Journal of Solids and Structures

DOI

ISSN

0020-7683

Publication Date

January 1, 1991

Volume

28

Issue

2

Start / End Page

197 / 213

Related Subject Headings

  • Mechanical Engineering & Transports
  • 40 Engineering
  • 09 Engineering