dorsal/arxiv
View SchemaOn Variational Micro-Macro Models and their Application to Polycrystals
| Authors | Mayeul Arminjon, Didier Imbault |
|---|---|
| Categories | |
| ArXiv ID | physics/0611239 |
| URL | https://arxiv.org/abs/physics/0611239 |
| Journal | Dynamical Plasticity and Structural Behaviors, Proc. Plasticity (1995) 245-248 |
Abstract
Some variational micro-macro models are briefly reviewed: it is shown how, starting from the Taylor model and passing through the relaxed Taylor model, a consistent intermediate between Taylor's upper bound and the lower bound (Sachs or rather "static") model was obtained. This intermediate or "inhomogeneous" variational model (indeed, it generally predicts both strain and stress to be inhomogeneous) could offer a general alternative to self-consistent models. However, the implemented version was a rather empirical model (ARMINJON [1984]) with a less well-defined status. We present current progress in the implementation of the correct version.
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"abstract": "Some variational micro-macro models are briefly reviewed: it is shown how,\nstarting from the Taylor model and passing through the relaxed Taylor model, a\nconsistent intermediate between Taylor\u0027s upper bound and the lower bound (Sachs\nor rather \"static\") model was obtained. This intermediate or \"inhomogeneous\"\nvariational model (indeed, it generally predicts both strain and stress to be\ninhomogeneous) could offer a general alternative to self-consistent models.\nHowever, the implemented version was a rather empirical model (ARMINJON [1984])\nwith a less well-defined status. We present current progress in the\nimplementation of the correct version.",
"arxiv_id": "physics/0611239",
"authors": [
"Mayeul Arminjon",
"Didier Imbault"
],
"categories": [
"physics.class-ph"
],
"journal_ref": "Dynamical Plasticity and Structural Behaviors, Proc. Plasticity\n (1995) 245-248",
"title": "On Variational Micro-Macro Models and their Application to Polycrystals",
"url": "https://arxiv.org/abs/physics/0611239"
},
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