On the quasi-yield surface concept in plasticity theory

Soldatos, Dimitris and Triantafyllou, Savvas P. (2017) On the quasi-yield surface concept in plasticity theory. ZAMM . ISSN 1521-4001

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Abstract

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.

Item Type: Article
Additional Information: This is the accepted version of the following article: Soldatos, D. and Triantafyllou, S. P. (2017), On the quasi-yield surface concept in plasticity theory. Z. Angew. Math. Mech.. doi:10.1002/zamm.201600133 which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/zamm.201600133/full
Keywords: Rate-independent plasticity, Quasi-yield surface, Integrability conditions, Holonomy, Large plastic deformations
Schools/Departments: University of Nottingham, UK > Faculty of Engineering
Identification Number: 10.1002/zamm.201600133
Depositing User: Eprints, Support
Date Deposited: 16 Jan 2017 14:59
Last Modified: 18 Mar 2017 21:11
URI: http://eprints.nottingham.ac.uk/id/eprint/39875

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