Rate-and-State Theory of Plastic Deformation Near a Circular Hole

Physics – Condensed Matter – Materials Science

Scientific paper

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11 pages, 7 figures

Scientific paper

10.1103/PhysRevE.60.6978

We show that a simple rate-and-state theory accounts for most features of both time-independent and time-dependent plasticity in a spatially inhomogeneous situation, specifically, a circular hole in a large stressed plate. Those features include linear viscoelastic flow at small applied stresses, strain hardening at larger stresses, and a dynamic transition to viscoplasticity at a yield stress. In the static limit, this theory predicts the existence of a plastic zone near the hole for some but not all ranges of parameters. The rate-and-state theory also predicts dynamic failure modes that we believe may be relevant to fracture mechanics.

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