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On hypoelasticity and plasticity approaches to constitutive modelling of inelastic behaviour of soils
Author(s) -
Mróz Z.
Publication year - 1980
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.1610040104
Subject(s) - plasticity , constitutive equation , structural engineering , geotechnical engineering , mathematics , materials science , computer science , engineering , finite element method , composite material
Abstract A comparative discussion of constitutive rate equations generated by using the hypoelasticity and plasticity theories is presented. If is shown that these two approaches are equivalent for the loading process but differ essentially in defining the unloading (or reverse loading) paths. The multisurface plasticity formulation proves to be more convenient in incorporating memory rules of particular loading events, whereas loading‐unloading criteria used in hypoelasticity may result in an unrealistic prediction of material response for some loading paths, and in particular, for cyclic loading. The violation of the continuity condition between loading–unloading domains in proposed constitutive relations 3,4 limits their applicability to some particular classes of loading paths.