Steinmann, P. , Miehe, C. and Stein, E. (1994) On the localization analysis of orthotropic hill type elastoplastic solids. Journal of the Mechanics and Physics of Solids, 42(12), pp. 1969-1994. (doi: 10.1016/0022-5096(94)90021-3)
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Abstract
The objective of this work is the localization analysis of orthotropic Hill type elastoplasticity. Thereby, the underlying motivation is the necessity to model the anisotropic behaviour of metal specimens which is due to the manufacturing procedure in terms of an orthotropic yield condition. To this end, the classical v. Mises condition is replaced by a yield criterion which invokes a second order anisotropy tensor acting on the deviatoric stresses. A reparametrization of this model reveals its relation to the classical criterion originally proposed by Hill. The plastic evolution laws follow from the hypothesis of general associativity. Special emphasis is directed towards the numerical implementation of the constitutive model within the framework of finite element analysis of inelastic boundary value problems. The influence of the anisotropy effects on the localization analysis is contrasted to the outcome of an analysis with the standard isotropic v. Mises model. To this end, the intriguing influence of certain types of orthotropy is pointed out analytically and numerically. Finally, the numerical implications of the orthotropic elastoplastic approach are demonstrated for examples of localization within a plane stress uniaxial tension problem and a plane strain compression problem.
| Item Type: | Articles |
|---|---|
| Additional Information: | The authors would like to acknowledge the support of’ this research by the Deutsche Forschungsgemeinschaft under the grant STE 23X/25-2. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Steinmann, Professor Paul |
| Authors: | Steinmann, P., Miehe, C., and Stein, E. |
| 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 |
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