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Shear and objective stress rates in hypoplasticity
Author(s) -
Kolymbas D.,
Herle I.
Publication year - 2003
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.297
Subject(s) - stress (linguistics) , context (archaeology) , limit (mathematics) , shear (geology) , shear stress , constitutive equation , mathematics , geotechnical engineering , structural engineering , engineering , geology , mechanics , physics , mathematical analysis , finite element method , philosophy , petrology , paleontology , linguistics
This paper addresses some questions referring to shear within the context of hypoplasticity and the importance of objective stress rates in constitutive modelling. A short introduction to the stress changes due to rotations is followed by a discussion of the merits of the individual objective stress rates. It is shown that many of them differ only by terms that pertain to the constitutive description of a material. Apart from this it is shown that the Zaremba–Jaumann stress rate can lead to inconsistencies. This is, however, rather of academic importance and it appears that the use of Ṫ instead of any objective stress rate produces only minor or even undiscernible errors. Finally, a question referring to limit states is addressed, which is of particular interest with respect to hypoplasticity: should the limit state be defined by Ṫ = 0 or by T̊ = 0 ? Copyright © 2003 John Wiley & Sons, Ltd.