| Issue |
Europhys. Lett.
Volume 65, Number 5, March 2004
|
|
|---|---|---|
| Page(s) | 665 - 670 | |
| Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
| DOI | https://doi.org/10.1209/epl/i2003-10175-2 | |
| Published online | 01 February 2004 | |
Continuum mesoscale theory inspired by plasticity
1
Laboratory of Atomic and Solid State Physics (LASSP) Clark Hall, Cornell University - Ithaca, NY 14853-2501, USA
2
Max-Planck-Institut für Metallforschung Heisenbergstr. 3, 70569 Stuttgart, Germany
3
Institut für Theoretische und Angewandte Physik, Universität Stuttgart 70550 Stuttgart, Germany
4
Service de Physique de l'Etat Condensé, CEA-Saclay 91191 Gif-sur-Yvette, France
Corresponding authors: sethna@lassp.cornell.edu rauscher@mf.mpg.de bouchau@saclay.cea.fr
Received:
29
August
2003
Accepted:
5
January
2004
We present a simple mesoscale field theory inspired by rate-independent plasticity that reflects the symmetry of the deformation process. We parameterize the plastic deformation by a scalar field which evolves with loading. The evolution equation for that field has the form of a Hamilton-Jacobi equation which gives rise to cusp-singularity formation. These cusps introduce irreversibilities analogous to those seen in plastic deformation of real materials: we observe a yield stress, work hardening, reversibility under unloading, and cell boundary formation.
PACS: 46.35.+z – Viscoelasticity, plasticity, viscoplasticity / 62.20.Fe – Deformation and plasticity (including yield, ductility, and superplasticity) / 83.60.La – Viscoplasticity; yield stress
© EDP Sciences, 2004
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