Physics – Condensed Matter – Materials Science
Scientific paper
1999-06-04
Physics
Condensed Matter
Materials Science
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.
Langer James S.
Lobkovsky Alexander E.
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