This article has an erratum: [https://doi.org/10.1209/epl/i2004-10019-7]
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.