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A Derivation of the Associated Flow Rule

A Derivation of the Associated Flow Rule

Abstract

The associated flow rule in the traditional theory of plasticity has been recently adopted even in the plastic constitutive equations with the elastic-plastic transition. The proofs of this rule in the past, however, are confined to the classical idealization of elastoplastic continuum to ignore the elastic-plastic transition and the alteration in an elastic response. In this paper, based on two physically plausible assumptions, the associated flow rule is analytically derived for the generalized elastoplastic continuum with the elastic-plastic transition, the hardening, the perfectly-plastic and the softening behaviors and the alteration in an elastic response.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold