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A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part I-Theory

Tengattini, Alessandro; Das, Arghya; Nguyen, Giang D.; Viggiani, Gioacchino; Hall, Stephen LU and Einav, Itai (2014) In Journal of the Mechanics and Physics of Solids 70. p.281-296
Abstract
This is the first of two papers introducing a novel thermomechanical continuum constitutive model for cemented granular materials. Here, we establish the theoretical foundations of the model, and highlight its novelties. At the limit of no cement, the model is fully consistent with the original Breakage Mechanics model. An essential ingredient of the model is the use of measurable and micro-mechanics based internal variables, describing the evolution of the dominant inelastic processes. This imposes a link between the macroscopic mechanical behavior and the statistically averaged evolution of the microstructure. As a consequence this model requires only a few physically identifiable parameters, including those of the original breakage... (More)
This is the first of two papers introducing a novel thermomechanical continuum constitutive model for cemented granular materials. Here, we establish the theoretical foundations of the model, and highlight its novelties. At the limit of no cement, the model is fully consistent with the original Breakage Mechanics model. An essential ingredient of the model is the use of measurable and micro-mechanics based internal variables, describing the evolution of the dominant inelastic processes. This imposes a link between the macroscopic mechanical behavior and the statistically averaged evolution of the microstructure. As a consequence this model requires only a few physically identifiable parameters, including those of the original breakage model and new ones describing the cement: its volume fraction, its critical damage energy and bulk stiffness, and the cohesion. (C) 2014 Elsevier Ltd. All rights reserved. (Less)
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author
organization
publishing date
type
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
281 - 296
publisher
Elsevier
external identifiers
  • wos:000341466200016
  • scopus:84903985024
ISSN
1873-4782
DOI
10.1016/j.jmps.2014.05.021
language
English
LU publication?
yes
id
58b4a435-0656-4188-a927-cf27303f7a95 (old id 4713114)
date added to LUP
2014-11-06 13:53:43
date last changed
2017-11-05 04:18:08
@article{58b4a435-0656-4188-a927-cf27303f7a95,
  abstract     = {This is the first of two papers introducing a novel thermomechanical continuum constitutive model for cemented granular materials. Here, we establish the theoretical foundations of the model, and highlight its novelties. At the limit of no cement, the model is fully consistent with the original Breakage Mechanics model. An essential ingredient of the model is the use of measurable and micro-mechanics based internal variables, describing the evolution of the dominant inelastic processes. This imposes a link between the macroscopic mechanical behavior and the statistically averaged evolution of the microstructure. As a consequence this model requires only a few physically identifiable parameters, including those of the original breakage model and new ones describing the cement: its volume fraction, its critical damage energy and bulk stiffness, and the cohesion. (C) 2014 Elsevier Ltd. All rights reserved.},
  author       = {Tengattini, Alessandro and Das, Arghya 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        = {281--296},
  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 I-Theory},
  url          = {http://dx.doi.org/10.1016/j.jmps.2014.05.021},
  volume       = {70},
  year         = {2014},
}