Deformation recovery effects derived from finite J2 flow models

摘要

In an explicit sense of thermodynamical consistency, we propose a non-linear combinednhardening elastoplastic J2 flow model to display deformation recovery effects. With this model, wenshow that any axial strain of a uniaxially bar loaded well beyond initial yielding is recoverable uponnremoval of the applied load. As such, each process of application/removal of the axial load resultsnin a deformation recovery loop. In a broad sense, we demonstrate that loops of any given shapenmay be generated by specifying suitable hardening functions. It follows that deformation recoveryneffects with various shapes of recovery loops may be derived from non-linear combinednhardening elastoplastic J2 flow models. In particular, we show that there exist hardening functionsngenerating flag-like recovery loops. The latter are associated with the remarkable deformationnrecovery effects of shape memory alloys. This suggests that the finite recoverable deformationnbehaviour (superelasticity or pseudoelasticity) of shape memory alloys may be characterisednstraightforwardly by classical elastoplasticity models from a direct phenomenological standpoint..