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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