Rate-Type Model for Bituminous Mixtures and Its Application to Sand Asphalt
01 Jun 2006-Journal of Engineering Mechanics-asce (American Society of Civil Engineers)-Vol. 132, Iss: 6, pp 632-640
TL;DR: In this article, the constitutive modeling of bituminous asphalt mixtures is studied and the results of the predictions of the model are compared with the compressive creep experiments carried out by Wood and Goetz on a typical sand asphalt mixture.
Abstract: A variety of hot mix asphalt mixtures are used in highway and runway pavement construction. Each mixture caters to specific needs. Mixtures differ from one another in the type and percentage of aggregates and asphalt used, and their response can be markedly different, and thus there is a need to develop constitutive models that can differentiate between the different kinds of mixtures. In this paper, we outline a general procedure for the constitutive modeling of bituminous mixtures. We illustrate the efficacy of this approach by means of an application to sand asphalt. The governing equations for this special problem reduce to a stiff nonlinear ordinary differential equation and this is solved numerically using Gear’s method. We compare the results of the predictions of the model that we have developed with the compressive creep experiments carried out by Wood and Goetz on a typical sand asphalt mixture and find them to be in good agreement.
Citations
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TL;DR: In this article, the authors developed a model from a thermodynamic standpoint that seems capable of describing the nonlinear response of asphalt binders and tested the efficacy of the model by comparing its predictions against two different sets of torsion experiments.
Abstract: In this paper, we develop a model from a thermodynamic standpoint that seems capable of describing the nonlinear response of asphalt binders. We test the efficacy of the model by comparing its predictions against two different sets of torsion experiments on asphalt binders. The first set of experiments that we use for corroborating the model was carried out by Narayan et al. [2012. Mechanics Research Communications, 43, 66–74] wherein for the first time it was found that the relaxation times associated with the torque and the normal forces, in a torsion experiment, are markedly different, and the second set of experiments that we use to corroborate the model documents the overshoot of torque in a torsion experiment [Krishnan and Narayan, 2007. Steady shear experiments on ashpalt. Chennai: IIT, Madras]. The model that is developed in this paper fits both sets of experiments well, and it seems to be a good candidate for describing the response of asphalt binders in general. As the deformation is nonlinear, ...
24 citations
Cites background or methods from "Rate-Type Model for Bituminous Mixt..."
...…the basic kinematical quantities and governing equations, we use a recently developed thermodynamic framework (see Rajagopal and Srinivasa 2000, Krishnan et al. 2006, Málek and Rajagopal 2007, Karra and Rajagopal 2009) and derive a rate type fluid model from the knowledge of the constitutive…...
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...…interest in the development of a thermodynamically consistent nonlinear viscoelastic fluid model to describe various forms of asphalt and asphalt mixes (see, for example, Krishnan and Rajagopal 2005, Krishnan et al. 2006, Koneru et al. 2008, Ravindran q 2014 Taylor & Francis *Corresponding author....
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21 Dec 2011
TL;DR: In der vorliegenden Arbeit wird ein Verbundmodell zur Beschreibung des thermo-mechanischen Verhaltens von Asphaltmischungen entwickelt and validiert as discussed by the authors.
Abstract: In der vorliegenden Arbeit wird ein Verbundmodell zur Beschreibung des thermo-mechanischen Verhaltens von Asphaltmischungen entwickelt und validiert. Das Modell beschreibt das Materialverhalten von Asphalt als Verbundwerkstoff auf Basis der Mischungstheorie. Hierfur ist das
Verformungsverhalten der Bindemittelkomponente mit einem fraktionalen rheologischen Modell beschrieben. Die Mineralstoffkomponente wird mit einem Modell der Hypoplastizitat erfasst. Mit Hilfe einer Evolutionsstrategie erfolgt die Identifikation der Modellparameter der Einzelkomponenten auf der Grundlage experimenteller Untersuchungen. Fur die Validierung des Verbundmodells liegt ein umfangreiches experimentelles Programm vor, bei dem zwei ausgewahlte Asphaltmischungen in einaxialen Versuchen untersucht werden. Der Vergleich der Versuche mit Ergebnissen numerischer Simulationen bedingt physikalisch begrundete Modifikationen am Verbundmodell. Das modifizierte Modell ermoglicht die Analyse des Verformungsverhaltens realer Strukturen aus Asphaltmaterialien in numerischen Berechnungen mit der Finite-Element-Methode.
12 citations
Cites background from "Rate-Type Model for Bituminous Mixt..."
...[66] auf die Beschreibung sandhaltiger Asphalte übertragen....
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...: Modeling of combined physical-mechanical moisture induced damage in asphaltic mixes, Delft University of Technology, Dissertation, 2007 [66] KRISHNAN, J....
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References
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TL;DR: In this paper, Rajagopal and Srinivasa derived the constitutive equations for the stress response and the evolution of the natural configurations from these two scalar functions, and showed that these equations allow for response with and without yielding behavior and obtain a generalization of the normality and convexity conditions.
155 citations
TL;DR: In this article, a fatigue performance prediction model of asphalt concrete is developed from a uniaxial constitutive model based on the elastic-viscoelastic correspondence principle and continuum damage mechanics through mathematical simplifications.
Abstract: A fatigue performance prediction model of asphalt concrete is developed from a uniaxial constitutive model based on the elastic-viscoelastic correspondence principle and continuum damage mechanics through mathematical simplifications. This fatigue model has a form similar to the phenomenological tensile strain-based fatigue model. Therefore, a comparison between the new model and the phenomenological model yields that the regression coefficients in the phenomenological model are functions of viscoelastic properties of the materials, loading conditions, and damage characteristics. The experimental study on two mixtures with compound loading histories demonstrates that the fatigue model maintains all of the strengths of the constitutive model such as its accuracy and abilities to account for the effects of rate of loading, stress/strain level dependency, rest between loading cycles, and mode-of-loading on fatigue life of asphalt concrete.
153 citations
TL;DR: In this paper, the changes in the stiffness of two asphalt concrete mixtures due to temperature, fatigue damage growth, and healing during rest periods are evaluated using the impact resonance method.
Abstract: The changes in the stiffness of two asphalt concrete mixtures due to temperature, fatigue damage growth, and healing during rest periods are evaluated using the impact resonance method. The impact resonance method is a means of determining the dynamic modulus of elasticity of a specimen nondestructively. The dynamic modulus of elasticity decreases as temperature increases and as microcrack damage growth occurs in the specimen due to fatigue. The impact resonance method also detects increases in dynamic modulus of elasticity after the application of rest periods. A gain in flexural stiffness was also observed from measurements and is attributed to closure of microcracks or healing during the rest period. The amount of healing or stiffness gain appeared to increase when specimens were subject to a higher temperature during the rest period. A qualitative study of the two asphalt mixtures showed that there is a difference between the two with respect to healing performance.
145 citations
TL;DR: In this article, the thermomechanical behavior of a shape memory wire is modeled based on a theory that takes cognizance of the fact that the body can possess multiple natural configurations.
Abstract: The thermomechanical behavior of a shape memory wire is modeled based on a theory that takes cognizance of the fact that the body can possess multiple natural configurations [1]. The constitutive equations are developed by first constructing the form of the Helmholtz potential (based on different modes of energy storage), and dissipation mechanisms. The internal energy includes contributions from the strain energy, the latent energy, the interfacial energy and thermal energy. The entropy of the system includes the"entropy jump" associated with the phase transition.¶The role of the rate of mechanical dissipation as a mechanism for entropy generation and its importance in describing the hysteretic behavior is brought out by considering the difference between hysteretic and non-hysteretic (dissipation-less) behavior.¶Finally, simple linear or quadratic forms are assumed for the various constitutive functions and the full shape memory response is modeled. A procedure for the determination of the constants is also indicated and the constants for two systems (CuZnAl and NiTi) are calculated from published experimental data (see [2, 3]). The predictions of the theory show remarkable agreement with the experimental data. However, some of the results predicted by the theory are different from the experimental results reported in Huo and Muller [2] We discuss some of the issues regarding this discrepancy and show that there appears to be some internal inconsistency between the experimental data reported in Figure 6 and Figure 9 of Huo and Muller [2] (provided they represent the same sample).
132 citations
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113 citations