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

J. S. Langer·Alexander E. Lobkovsky
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Abstract

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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J. S. Langer, Alexander E. Lobkovsky. 1999-06-04. Rate-and-State Theory of Plastic Deformation Near a Circular Hole. https://doi.org/10.1103/physreve.60.6978

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