On the quasi-yield surface concept in plasticity theory

In this paper we provide deeper insights into the concept of the quasi-yield surface in plasticity theory. More specifically, in this work, unlike the traditional treatments of plasticity where special emphasis is placed on an unambiguous definition of a yield criterion and the corresponding loading...

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Main Authors: Soldatos, Dimitris, Triantafyllou, Savvas P.
Format: Article
Published: Wiley-VCH Verlag 2017
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Online Access:https://eprints.nottingham.ac.uk/39875/
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author Soldatos, Dimitris
Triantafyllou, Savvas P.
author_facet Soldatos, Dimitris
Triantafyllou, Savvas P.
author_sort Soldatos, Dimitris
building Nottingham Research Data Repository
collection Online Access
description In this paper we provide deeper insights into the concept of the quasi-yield surface in plasticity theory. More specifically, in this work, unlike the traditional treatments of plasticity where special emphasis is placed on an unambiguous definition of a yield criterion and the corresponding loading-unloading conditions, we place emphasis on the study of a general rate equation which is able to enforce elastic-plastic behavior. By means of this equation we discuss the fundamental concepts of the elastic range and the elastic domain. The particular case in which the elastic domain degenerates into its boundary leads to the quasi-yield surface concept. We exploit this concept further by discussing several theoretical issues related to it and by introducing a simple material model. The ability of the model in predicting several patterns of the real behavior of metals is assessed by representative numerical examples.
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spelling nottingham-398752020-05-04T18:55:21Z https://eprints.nottingham.ac.uk/39875/ On the quasi-yield surface concept in plasticity theory Soldatos, Dimitris Triantafyllou, Savvas P. In this paper we provide deeper insights into the concept of the quasi-yield surface in plasticity theory. More specifically, in this work, unlike the traditional treatments of plasticity where special emphasis is placed on an unambiguous definition of a yield criterion and the corresponding loading-unloading conditions, we place emphasis on the study of a general rate equation which is able to enforce elastic-plastic behavior. By means of this equation we discuss the fundamental concepts of the elastic range and the elastic domain. The particular case in which the elastic domain degenerates into its boundary leads to the quasi-yield surface concept. We exploit this concept further by discussing several theoretical issues related to it and by introducing a simple material model. The ability of the model in predicting several patterns of the real behavior of metals is assessed by representative numerical examples. Wiley-VCH Verlag 2017-07-12 Article PeerReviewed Soldatos, Dimitris and Triantafyllou, Savvas P. (2017) On the quasi-yield surface concept in plasticity theory. ZAMM, 97 (8). pp. 961-972. ISSN 1521-4001 Rate-independent plasticity Quasi-yield surface Integrability conditions Holonomy Large plastic deformations http://onlinelibrary.wiley.com/doi/10.1002/zamm.201600133/full doi:10.1002/zamm.201600133 doi:10.1002/zamm.201600133
spellingShingle Rate-independent plasticity
Quasi-yield surface
Integrability conditions
Holonomy
Large plastic deformations
Soldatos, Dimitris
Triantafyllou, Savvas P.
On the quasi-yield surface concept in plasticity theory
title On the quasi-yield surface concept in plasticity theory
title_full On the quasi-yield surface concept in plasticity theory
title_fullStr On the quasi-yield surface concept in plasticity theory
title_full_unstemmed On the quasi-yield surface concept in plasticity theory
title_short On the quasi-yield surface concept in plasticity theory
title_sort on the quasi-yield surface concept in plasticity theory
topic Rate-independent plasticity
Quasi-yield surface
Integrability conditions
Holonomy
Large plastic deformations
url https://eprints.nottingham.ac.uk/39875/
https://eprints.nottingham.ac.uk/39875/
https://eprints.nottingham.ac.uk/39875/