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A comparison of viscoplasticity formats and algorithms

✍ Scribed by Kenneth Runesson; Matti Ristinmaa; Lennart Mähler

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
181 KB
Volume
4
Category
Article
ISSN
1082-5010

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✦ Synopsis

Algorithmic issues for the two thermodynamically consistent viscoplastic formulations of Perzyna and Duvaut-Lions are discussed. It is shown that it is simple to avoid the numerical problems associated with a small relaxation time without resorting to elaborate perturbation techniques, as suggested in the literature. A systematic numerical investigation of the efficiency of Newton iterations, that employ the Algorithmic Tangential Stiffness (ATS) tensor, as compared to various approximations, is carried out for a cohesivefrictional model with non-linear isotropic hardening. Generally, the ATS-tensor is formulated in such an explicit fashion that its tensorial structure resembles that of the underlying rate-independent continuum stiffness. For both the Perzyna and the Duvaut-Lions format, it appears that the ATS-tensor is obtained by a proper augmentation of the corresponding rate-independent ATS-tensor.

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