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.

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Tengattini, Alessandro ; Das, Arghya ; Nguyen, Giang D. ; Viggiani, Gioacchino ; Hall, Stephen ; Einav, Itai. / A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part I-Theory. In: Journal of the Mechanics and Physics of Solids. 2014 ; Vol. 70. pp. 281-296.

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TY - JOUR

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 -