---
_id: '65491'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n                  <jats:p>The micropolar
    continuum is a special case of a micromorphic material model and has additional
    degrees of freedom in the form of microrotations compared to the classical continuum.
    With the micropolar model, size effects can be considered and the boundary value
    problem can be regularized when localization effects occur. In order to map the
    microrotations, an additional strain measure and an additional stress are introduced.
    For simulation of plasticity, it is possible to define one yield function, and
    thus one plastic multiplier as well as one equivalent plastic strain occur. This
    approach is known as the single-surface plasticity approach. The macro- and micro-stresses
    are coupled in a common flow function. On the other hand, there is the so-called
    double-surface plasticity when one yield function, one plastic multiplier, and
    one equivalent plastic strain, respectively, are introduced for each of the macro-
    and micro-variables. The coupling of the macro- and micro-variables is established
    by a possible coupling of both yield functions. The purpose of this paper is to
    compare both approaches and to identify similarities and differences.</jats:p>"
article_number: '94'
author:
- first_name: Alexander
  full_name: Börger, Alexander
  id: '52037'
  last_name: Börger
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
citation:
  ama: Börger A, Mahnken R. Single-surface and double-surface plasticity for micropolar
    continuum. <i>Archive of Applied Mechanics</i>. 2026;96(5). doi:<a href="https://doi.org/10.1007/s00419-026-03049-w">10.1007/s00419-026-03049-w</a>
  apa: Börger, A., &#38; Mahnken, R. (2026). Single-surface and double-surface plasticity
    for micropolar continuum. <i>Archive of Applied Mechanics</i>, <i>96</i>(5), Article
    94. <a href="https://doi.org/10.1007/s00419-026-03049-w">https://doi.org/10.1007/s00419-026-03049-w</a>
  bibtex: '@article{Börger_Mahnken_2026, title={Single-surface and double-surface
    plasticity for micropolar continuum}, volume={96}, DOI={<a href="https://doi.org/10.1007/s00419-026-03049-w">10.1007/s00419-026-03049-w</a>},
    number={594}, journal={Archive of Applied Mechanics}, publisher={Springer Science
    and Business Media LLC}, author={Börger, Alexander and Mahnken, Rolf}, year={2026}
    }'
  chicago: Börger, Alexander, and Rolf Mahnken. “Single-Surface and Double-Surface
    Plasticity for Micropolar Continuum.” <i>Archive of Applied Mechanics</i> 96,
    no. 5 (2026). <a href="https://doi.org/10.1007/s00419-026-03049-w">https://doi.org/10.1007/s00419-026-03049-w</a>.
  ieee: 'A. Börger and R. Mahnken, “Single-surface and double-surface plasticity for
    micropolar continuum,” <i>Archive of Applied Mechanics</i>, vol. 96, no. 5, Art.
    no. 94, 2026, doi: <a href="https://doi.org/10.1007/s00419-026-03049-w">10.1007/s00419-026-03049-w</a>.'
  mla: Börger, Alexander, and Rolf Mahnken. “Single-Surface and Double-Surface Plasticity
    for Micropolar Continuum.” <i>Archive of Applied Mechanics</i>, vol. 96, no. 5,
    94, Springer Science and Business Media LLC, 2026, doi:<a href="https://doi.org/10.1007/s00419-026-03049-w">10.1007/s00419-026-03049-w</a>.
  short: A. Börger, R. Mahnken, Archive of Applied Mechanics 96 (2026).
date_created: 2026-04-23T11:55:35Z
date_updated: 2026-04-23T11:56:38Z
department:
- _id: '9'
- _id: '952'
- _id: '321'
doi: 10.1007/s00419-026-03049-w
intvolume: '        96'
issue: '5'
language:
- iso: eng
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Single-surface and double-surface plasticity for micropolar continuum
type: journal_article
user_id: '85414'
volume: 96
year: '2026'
...