A compact cyclic plasticity model with parameter evolution

Abstract

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A robust frame element with cyclic plasticity and local joint effects

“…The cyclic plasticity model is based on [37,36] and is defined via an energy potential, a yield function and a plastic flow potential. The energy defines the constitutive relations between deformations and sections forces, while the yield function set equal to zero defines the yield surface, and the gradient of the plastic flow potential defines the plastic deformation evolution.…”

“…whereλ j ≥ 0, see e.g. [37,36] for a detailed derivation. During plastic deformation the various yield conditions should be fulfilled at all times imposing the consistency condition that during plastic…”

“…The plastic flow potential is a generalization of the multi-dimensional flow potential proposed in [37]. The relative capacity in addition to the yield capacity is given by a parameter β that may be different for the different section force components.…”

“…Flexibility formulations via a 6×6 equilibrium format was proposed in [34,35] for monotonic and cyclic plasticity models as well as in [26] including local imperfections. In order to model cyclic plasticity in frame structures more accurately [36] introduced a generalized formulation of the cyclic plasticity model from [37]. The model is based on non-linear kinematic hardening rules and evolution of the model parameters and was subsequently extended to include local joint plastic mechanisms [38].…”

“…[26,58], as well as plastic mechanisms ranging from ideal plasticity to models coupling elasto-plasticity and damage. The cyclic plasticity formulation proposed in [37] is generalized and extended to ensure invariance for doubly-symmetric beam cross sections. The yield function is of the type proposed by [36] and determination of parameters as well as gradual change of shape and inclusion of shear effects are discussed.…”