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An approach to the modeling of viscoelastic damage. Application to the long‐term creep of gypsum rock materials
Author(s) -
Nedjar B.,
Le Roy R.
Publication year - 2012
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.1138
Subject(s) - creep , viscoelasticity , discretization , rheology , term (time) , gypsum , finite element method , mechanics , relaxation (psychology) , coupling (piping) , continuum mechanics , phenomenological model , damage mechanics , set (abstract data type) , computer science , geology , materials science , geotechnical engineering , structural engineering , physics , mathematics , mechanical engineering , engineering , mathematical analysis , psychology , paleontology , social psychology , quantum mechanics , composite material , programming language
SUMMARY A three‐dimensional phenomenological model is developed to describe the long‐term creep of gypsum rock materials. The approach is based on the framework of continuum damage mechanics where coupling with viscoelasticity is adopted. Specifically, a local damage model based on the concept of yield surface is proposed and deeply investigated. Among the many possibilities, we choose in this work its coupling with a generalized Kelvin–Voigt rheological model to formulate the whole behavior. Long‐term as well as short‐term relaxation processes can be integrated in the model by means of as many as necessary viscoelastic processes. The numerical discretization is described for an easy integration within a finite element procedure. Finally, a set of numerical simulations is given to show the possibilities of the presented model. It shows good agreement with some experimental results found in the literature. Copyright © 2012 John Wiley & Sons, Ltd.