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Elastoplastic model with loading memory surfaces (LMS) for monotonic and cyclic behaviour of geomaterials
Author(s) -
Benedetto Hervé,
Blanc Matthieu,
Tiouajni Samir,
Ezaoui Alan
Publication year - 2014
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.2265
Subject(s) - monotonic function , stress space , formalism (music) , cyclic stress , structural engineering , generalization , materials science , mathematics , mathematical analysis , engineering , constitutive equation , finite element method , art , musical , visual arts
SUMMARY A new elastoplastic model called loading memory surface based on the critical state concept and the multi‐surface framework is proposed for geomaterials. The model uses a hypoelastic formulation and two plastic mechanisms. The formulations of the model are made in three‐dimensional stress–strain space and work under both monotonic and cyclic loadings. A newly introduced formalism makes it possible to obtain the cyclic response directly from the monotonic loading one. This formalism gives a three‐dimensional generalization of the well‐known Masing rule. The model has been validated against test results of Hostun sand under several conditions: monotonic and cyclic, drained and undrained, tests in compression and in extension, and at different confining pressures and different densities. Copyright © 2014 John Wiley & Sons, Ltd.