Second-order accurate integration algorithms for von-Mises plasticity with a nonlinear kinematic hardening mechanism
By Edoardo Artioli, Ferdinando Auricchio, L. Beirão da Veiga. 2007
71 citations recorded by the source corpus.
Abstract Two second-order numerical schemes for von-Mises plasticity with a combination of linear isotropic and nonlinear kinematic hardening are presented. The first scheme is the generalized midpoint integration procedure, originally introduced by Ortiz and Popov in 1985, detailed and applied here to the case of Armstrong–Frederick nonlinear kinematic hardening. The second algorithm is based on the constitutive model exponential-based reformulation and on the integration procedure previously introduced by the authors in the context of linearly hardening materials. There are two main targets to the work. Firstly, we wish to extensively test the generalized midpoint procedure since in the scientific literature no thorough numerical testing campaign has been carried out on this second-order algorithm. Secondly, we wish to extend the exponential-based integration technique also to nonlinear hardening materials. A wide numerical investigation is carried out in order to compare the performance of the two methods.
Subfields: Control and Systems Engineering, Mechanics of Materials, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/53af43ef7e1f165f262d1416db6d59d43d1c0e9d
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In Control and Systems Engineering
In Mechanics of Materials
- Michael P. Pietryga
- I. Vladimirov
- Stefanie Reese
- M. Schwarze
- L. Leonetti
- D. Magisano
- Giovanni Garcea
In Numerical Analysis
Citations in the corpus
- On the modelling of non‐linear kinematic hardening at finite strains with application to springback—Comparison of time integration algorithms (2008, background): “[22] extended their investigation to non-linear kinematic hardening and discovered that the exponential-based scheme again shows better performance than the other two algorithms.”