Structure of constitutive equations in plasticity for different choices of state and control variables

Integration algorithm forJ2 elastoplasticity under arbitrary mixed stress-strain control

“…As demonstrated by Klisinski et al [1], the choice of state variables in which the yield surface is represented does not a ect the structure of the constitutive equations. Thus, the predominantly adopted stress space representation is used throughout this paper.…”

“…whereas A : U = A : U = 0 [1]. Assume now that U and A are the control variables, i.e., those which are prescribed.…”

“…Finally, observing that, in (33), n : E : n is always non-negative, one concludes that the restriction imposed on the H and K values by assumption (34) is most (least) severe for stress (strain) control, while mixed control cases lie in between (see, a more detailed discussion in Reference [1]). …”

“…The subject of plasticity under mixed stress-strain control has been investigated in a paper by Klisinski et al [1] (see also Reference [2]). In that paper, it was shown that the structure and uniqueness of the corresponding constitutive equations (i) are heavily dependent on the particular choice of control variables, but (ii) are not a ected by the type of yield surface representation (stress, strain or mixed space).…”

Constitutive modelling approach for evaluating the triggering of flow slides

“…In particular, it can be 16 proved that for elastoplastic strain-hardening models controllability conditions can be evaluated 17 from a critical value of the hardening modulus, H (Klisinski et al, 1992;Buscarnera et al, 2011). 18…”