A theoretical evaluation of plasticity hardening algorithms for nonproportional loadings
type: Item
instance of: scholarly article
title: A theoretical evaluation of plasticity hardening algorithms for nonproportional loadings
zbMATH Open document ID: 0874.73020
DOI: 10.1007/BF01410518
published in: Acta Mechanica
publication date: 1997-04-27T00:00:00Z
review text: For incremental plasticity algorithms, a \(\pi\)-circle loading path in deviatoric stress space was identified as a severe test for the algorithms. A closed form solution can be obtained for this loading path, so that these phenomena cannot be attributed to numerical errors. While this loading is highly idealized, analogous results are also noted for 90 degree out-of-phase tension-torsion. Multiple surface and the associated two-surface models with a stationary bounding surface are shown to exhibit both theoretical and numerical problems for the severe cyclic loading under consideration. It is established that the Armstrong-Frederick class of models demonstrates a diminished sensitivity to model parameters. Finally, single-valued stress strain representations for both severe nonproportional loading paths are investigated.
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 1004514
zbMATH Keywords: multiple surface models
zbMATH Keywords: pi-circle loading path
zbMATH Keywords: Armstrong-Frederick models
zbMATH Keywords: incremental plasticity algorithms
zbMATH Keywords: deviatoric stress space
zbMATH Keywords: two-surface models
zbMATH Keywords: single-valued stress strain representations
author: Yanyao Jiang
author: Peter Kurath
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1004514