Continuum mesoscale theory inspired by plasticity

J. P. Sethna; M. Rauscher; J. -P. Bouchaud

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arXiv · cond-mat/0203397

Continuum mesoscale theory inspired by plasticity

J. P. Sethna·M. Rauscher·J. -P. Bouchaud

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Abstract

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.

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J. P. Sethna, M. Rauscher, J. -P. Bouchaud. 2002-10-29. Continuum mesoscale theory inspired by plasticity. https://arxiv.org/abs/cond-mat/0203397

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