The paper presents a derivation of the consistent tangent operator (CTO) for the class of iterative constitutive integration algorithms. The derivation is based on a variational analysis of algorithmic equations with respect to the strain dependency of state variables in each iteration. Such treatment results in a recursive formulation, where the value of CTO is updated based on its old value. The proposed formulation is demonstratively applied to the cutting-plane algorithm (CPA), for which it is known that a closed form solution for CTO does not exist.
CitationStarman, Bojan [et al.]. A recursive calculation of the consistent tangent operator in elasto-plasticity. A: COMPLAS XIII. "COMPLAS XIII : proceedings of the XIII International Conference on Computational Plasticity : fundamentals and applications". CIMNE ed. Barcelona: CIMNE, 2015, p. 886-893.
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