A strain space framework for numerical hyperplasticity

L.G. Margolin

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 127, issue C, 178-188

Abstract: Numerical simulations of high strain rate plastic flow have historically been built in a hypoelastic framework and use radial return (Wilkins’ method) as the solution algorithm. We show how each of these choices can lead to inaccurate and possibly nonconvergent results. We describe an alternative solution procedure based on a simple multiple time scale perturbation theory that is stable, accurate, computationally efficient and simple to implement. Further extension of these results then leads to a strain space formulation that has additional computational advantages. We illustrate our development with numerical experiments.

Keywords: Numerical plasticity; Hyperplasticity; Wilkins’ method (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:127:y:2016:i:c:p:178-188

DOI: 10.1016/j.matcom.2012.06.016

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