A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part I-Theory
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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; Einav, Itai.
In: Journal of the Mechanics and Physics of Solids, Vol. 70, 2014, p. 281-296.Research output: Contribution to journal › Article
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T1 - A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part I-Theory
AU - Tengattini, Alessandro
AU - Das, Arghya
AU - Nguyen, Giang D.
AU - Viggiani, Gioacchino
AU - Hall, Stephen
AU - Einav, Itai
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
KW - Cemented granular materials
KW - Constitutive behavior
KW - Microstructures
KW - Energy methods
KW - Fracture mechanisms
U2 - 10.1016/j.jmps.2014.05.021
DO - 10.1016/j.jmps.2014.05.021
M3 - Article
VL - 70
SP - 281
EP - 296
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
SN - 1873-4782
ER -