Steinmann, P. (1996) On localization analysis in multisurface hyperelasto-plasticity. Journal of the Mechanics and Physics of Solids, 44(10), pp. 1691-1713. (doi: 10.1016/0022-5096(96)00044-0)
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Abstract
Localization analysis for large strain multisurface hyperelasto-plasticity based on the multiplicative decomposition of the deformation gradient is considered. To this end, the simple structure of the tangent operator and the spatial localization tensor in the form of a sum of rank one updates is frequently exploited. For multiple active constraints the determinant of the spatial localization tensor is shown to be conveniently evaluated in terms of the characteristic equation of a simple matrix containing the hardening moduli. From this equation the critical hardening moduli, allowing for the onset of localization under the assumption of continuous bifurcation, may be computed. Examples of a family of hardening moduli in the anisotropic case of single crystal plasticity are discussed. Intriguing results for either latent or pure self-hardening of the slip systems are emphasized.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Steinmann, Professor Paul |
| Authors: | 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 |
| ISSN (Online): | 1873-4782 |
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