Menzel, A. and Steinmann, P. (2000) On the continuum formulation of higher gradient plasticity for single and polycrystals. Journal of the Mechanics and Physics of Solids, 48(8), pp. 1777-1796. (doi: 10.1016/S0022-5096(99)00024-1)
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Abstract
This paper develops a geometrically linear formulation of higher gradient plasticity of single and polycrystalline material based on the continuum theory of dislocations and incompatibilities. As a result, a phenomenological but physically motivated description of hardening is obtained, which incorporates for single crystals second order spatial derivatives of the plastic deformation gradient and for polycrystals fourth order spatial derivatives of the plastic strains into the yield condition. Moreover, these modifications mimic the characteristic structure of kinematic hardening, whereby the backstress obeys a nonlocal evolution law. For the one-dimensional example of an infinite shear layer the relation between the characteristic length l and the width w of a localized elasto-plastic shear band is examined in detail for both cases.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Steinmann, Professor Paul |
| Authors: | Menzel, A., and Steinmann, P. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Journal of the Mechanics and Physics of Solids |
| Publisher: | Elsevier |
| ISSN: | 0022-5096 |
| Related URLs: |
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