This article has an erratum: [erratum]
Volume 65, Number 5, March 2004
|Page(s)||665 - 670|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 February 2004|
Continuum mesoscale theory inspired by plasticity
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
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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