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A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part II - Validation and localization analysis

Das, Arghya; Tengattini, Alessandro; Nguyen, Giang D.; Viggiani, Gioacchino; Hall, Stephen LU and Einav, Itai (2014) In Journal of the Mechanics and Physics of Solids 70. p.382-405
Abstract
We study the mechanical failure of cemented granular materials (e.g., sandstones) using a constitutive model based on breakage mechanics for grain crushing and damage mechanics for cement fracture. The theoretical aspects of this model are presented in Part I: Tengattini et al. (2014), A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables, Part I - Theory (Journal of the Mechanics and Physics of Solids, http://dx.doi.org/10.1016/j.jmps.2014.05.021). In this Part II we investigate the constitutive and structural responses of cemented granular materials through analyses of Boundary Value Problems (BVPs). The multiple failure mechanisms captured by the proposed model enable the behavior of... (More)
We study the mechanical failure of cemented granular materials (e.g., sandstones) using a constitutive model based on breakage mechanics for grain crushing and damage mechanics for cement fracture. The theoretical aspects of this model are presented in Part I: Tengattini et al. (2014), A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables, Part I - Theory (Journal of the Mechanics and Physics of Solids, http://dx.doi.org/10.1016/j.jmps.2014.05.021). In this Part II we investigate the constitutive and structural responses of cemented granular materials through analyses of Boundary Value Problems (BVPs). The multiple failure mechanisms captured by the proposed model enable the behavior of cemented granular rocks to be well reproduced for a wide range of confining pressures. Furthermore, through comparison of the model predictions and experimental data, the micromechanical basis of the model provides improved understanding of failure mechanisms of cemented granular materials. In particular, we show that grain crushing is the predominant inelastic deformation mechanism under high pressures while cement failure is the relevant mechanism at low pressures. Over an intermediate pressure regime a mixed mode of failure mechanisms is observed. Furthermore, the micromechanical roots of the model allow the effects on localized deformation modes of various initial microstructures to be studied. The results obtained from both the constitutive responses and BVP solutions indicate that the proposed approach and model provide a promising basis for future theoretical studies on cemented granular materials. (C) 2014 Elsevier Ltd. All rights reserved. (Less)
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author
organization
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Contribution to journal
publication status
published
subject
keywords
Cemented granular materials, Constitutive behavior, Microstructures, Energy methods, Fracture mechanisms
in
Journal of the Mechanics and Physics of Solids
volume
70
pages
382 - 405
publisher
Elsevier
external identifiers
  • wos:000341466200022
  • scopus:84905387191
ISSN
1873-4782
DOI
10.1016/j.jmps.2014.05.022
language
English
LU publication?
yes
id
36428d94-7e57-48ce-b18e-a79e1cd013d7 (old id 4713122)
date added to LUP
2014-11-06 13:54:41
date last changed
2017-10-01 04:28:35
@article{36428d94-7e57-48ce-b18e-a79e1cd013d7,
  abstract     = {We study the mechanical failure of cemented granular materials (e.g., sandstones) using a constitutive model based on breakage mechanics for grain crushing and damage mechanics for cement fracture. The theoretical aspects of this model are presented in Part I: Tengattini et al. (2014), A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables, Part I - Theory (Journal of the Mechanics and Physics of Solids, http://dx.doi.org/10.1016/j.jmps.2014.05.021). In this Part II we investigate the constitutive and structural responses of cemented granular materials through analyses of Boundary Value Problems (BVPs). The multiple failure mechanisms captured by the proposed model enable the behavior of cemented granular rocks to be well reproduced for a wide range of confining pressures. Furthermore, through comparison of the model predictions and experimental data, the micromechanical basis of the model provides improved understanding of failure mechanisms of cemented granular materials. In particular, we show that grain crushing is the predominant inelastic deformation mechanism under high pressures while cement failure is the relevant mechanism at low pressures. Over an intermediate pressure regime a mixed mode of failure mechanisms is observed. Furthermore, the micromechanical roots of the model allow the effects on localized deformation modes of various initial microstructures to be studied. The results obtained from both the constitutive responses and BVP solutions indicate that the proposed approach and model provide a promising basis for future theoretical studies on cemented granular materials. (C) 2014 Elsevier Ltd. All rights reserved.},
  author       = {Das, Arghya and Tengattini, Alessandro and Nguyen, Giang D. and Viggiani, Gioacchino and Hall, Stephen and Einav, Itai},
  issn         = {1873-4782},
  keyword      = {Cemented granular materials,Constitutive behavior,Microstructures,Energy methods,Fracture mechanisms},
  language     = {eng},
  pages        = {382--405},
  publisher    = {Elsevier},
  series       = {Journal of the Mechanics and Physics of Solids},
  title        = {A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part II - Validation and localization analysis},
  url          = {http://dx.doi.org/10.1016/j.jmps.2014.05.022},
  volume       = {70},
  year         = {2014},
}