Numerical studies of hyperplasticity with single, multiple and a continuous field of yield surfaces

The development of a new constitutive model would normally require a new procedure to be established for derivation of the incremental response. However, for models generated within the framework of hyperplasticity (using single, multiple or continuous yield surfaces), this derivation can be carried...

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Main Authors: Einav, I, Puzrin, A, Houlsby, G
Formato: Journal article
Idioma:English
Publicado em: 2003
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author Einav, I
Puzrin, A
Houlsby, G
author_facet Einav, I
Puzrin, A
Houlsby, G
author_sort Einav, I
collection OXFORD
description The development of a new constitutive model would normally require a new procedure to be established for derivation of the incremental response. However, for models generated within the framework of hyperplasticity (using single, multiple or continuous yield surfaces), this derivation can be carried out using standard procedures. In this paper we present first the unified incremental response for a model using a single internal variable for general loading conditions. Next, we develop and explore three different numerical techniques for implementation of this procedure. One of the approaches, which seems superior, is extended to the multi-surface hyperplastic formulation. Finally, to allow integration of continuous hyperplastic models within the same multi-surface hyperplastic setting, the issue of discretization of the continuous field of yield surfaces is addressed. © 2003 John Wiley and Sons, Ltd.
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spelling oxford-uuid:44ebed16-9d5a-4035-a1c5-6d789437d0722022-03-26T15:04:40ZNumerical studies of hyperplasticity with single, multiple and a continuous field of yield surfacesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:44ebed16-9d5a-4035-a1c5-6d789437d072EnglishSymplectic Elements at Oxford2003Einav, IPuzrin, AHoulsby, GThe development of a new constitutive model would normally require a new procedure to be established for derivation of the incremental response. However, for models generated within the framework of hyperplasticity (using single, multiple or continuous yield surfaces), this derivation can be carried out using standard procedures. In this paper we present first the unified incremental response for a model using a single internal variable for general loading conditions. Next, we develop and explore three different numerical techniques for implementation of this procedure. One of the approaches, which seems superior, is extended to the multi-surface hyperplastic formulation. Finally, to allow integration of continuous hyperplastic models within the same multi-surface hyperplastic setting, the issue of discretization of the continuous field of yield surfaces is addressed. © 2003 John Wiley and Sons, Ltd.
spellingShingle Einav, I
Puzrin, A
Houlsby, G
Numerical studies of hyperplasticity with single, multiple and a continuous field of yield surfaces
title Numerical studies of hyperplasticity with single, multiple and a continuous field of yield surfaces
title_full Numerical studies of hyperplasticity with single, multiple and a continuous field of yield surfaces
title_fullStr Numerical studies of hyperplasticity with single, multiple and a continuous field of yield surfaces
title_full_unstemmed Numerical studies of hyperplasticity with single, multiple and a continuous field of yield surfaces
title_short Numerical studies of hyperplasticity with single, multiple and a continuous field of yield surfaces
title_sort numerical studies of hyperplasticity with single multiple and a continuous field of yield surfaces
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AT puzrina numericalstudiesofhyperplasticitywithsinglemultipleandacontinuousfieldofyieldsurfaces
AT houlsbyg numericalstudiesofhyperplasticitywithsinglemultipleandacontinuousfieldofyieldsurfaces