State update algorithm for associativeelastic-plastic pressure-insensitive materialsby incremental energy minimization
Journal Title: Frattura ed Integrità Strutturale - Year 2014, Vol 8, Issue 29
Abstract
This work presents a new state update algorithm for small-strain associative elastic-plasticconstitutive models, treating in a unified manner a wide class of deviatoric yield functions with linear ornonlinear strain-hardening. The algorithm is based on an incremental energy minimization approach, in theframework of generalized standard materials with convex free energy and dissipation potential. An efficientmethod for the computation of the latter, its gradient and its Hessian is provided, using Haigh-Westergaardstress invariants. Numerical results on a single material point loading history and finite element simulations arereported to prove the effectiveness and the versatility of the method. Its merit turns out to be complementaryto the classical return map strategy, because no convergence difficulties arise if the stress is close to highcurvature points of the yield surface.
Authors and Affiliations
N. A. Nodargi, E. Artioli, F. Caselli, P. Bisegna
Keywords
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- EP ID EP110547
- DOI 10.3221/IGF-ESIS.29.11
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