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Journal ArticleDOI

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
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.
Topics: Asphalt concrete (63%), Asphalt (52%), Aggregate (composite) (52%)
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Journal ArticleDOI
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, ...

21 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…...


  • ...…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....


21 Dec 2011-
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....


  • ...: Modeling of combined physical-mechanical moisture induced damage in asphaltic mixes, Delft University of Technology, Dissertation, 2007 [66] KRISHNAN, J....


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01 Nov 1992-
Abstract: This is a textbook on the structural analysis and design of highway pavements. It presents the theory of pavement design and reviews the methods developed by several organizations, such as the American Association of State Highway and Transportation Officials (AASHTO), the Asphalt Institute (AI), and the Portland Cement Association (PCA). It can be used for an undergraduate course by skipping the appendices or as an advanced graduate course by including them. The book is organized in 13 chapters. Chapter 1 introduces the historical development of pavement design, the major road tests, the various design factors, and the differences in design concepts among highway pavements, airport pavements, and railroad trackbeds. Chapter 2 discusses stresses and strains in flexible pavements. Chapter 3 presents the KENLAYER computer program, based on Burmister's layered theory, including theoretical developments, program description, comparison with available solutions, and sensitivity analysis on the effect of various factors on pavement responses. Chapter 4 discusses stresses and deflections in rigid pavements due to curling, loading, and friction, as well as the design of dowels and joints. Influence charts for determining stresses and deflections are also presented. Chapter 5 presents the KENSLABS computer program, based on the finite element method, including theoretical developments, program description, comparison with available solutions, and sensitivity analysis. Chapter 6 discusses the concept of equivalent single-wheel and single-axle loads and the prediction of traffic. Chapter 7 describes the material characterization for mechanistic-empirical methods of pavement design including the determination of resilient modulus, fatigue and permanent deformation properties, and the modulus of subgrade reaction. Chapter 8 outlines the subdrainage design including general principles, drainage materials, and design procedures. Chapter 9 discusses pavement performance including distress, serviceability, skid resistance, nondestructive testing, and the evaluation of pavement performance. Chapter 10 illustrates the reliability concept of pavement design in which the variabilities of traffic, material, and geometric parameters are all taken into consideration. A probabilistic procedure, developed by Rosenblueth, is described and two probabilistic computer programs including VESYS for flexible pavements and PMRPD for rigid pavements are discussed. Chapter 11 outlines an idealistic mechanistic method of flexible pavement design and presents in detail the AI method and the AASHTO method, as well as the design of flexible pavement shoulders. Chapter 12 outlines an idealistic mechanistic method of rigid pavement design and presents in detail the PCA method and the AASHTO method. The design of continuous reinforced concrete pavements and rigid pavement shoulders is also included. Chapter 13 outlines the design of overlay on both flexible and rigid pavements including the AASHTO, AI, and PCA procedures. An Author Index and a Subject Index are provided.

2,607 citations

Journal ArticleDOI
Abstract: Methods of quasi-static deformation and fracture analysis are developed for a class of nonlinear viscoelastic media and sample applications are given. Selection of the class of media is guided by actual rheological behavior of monolithic and composite materials as well as the need for simplicity to be able to understand the effect of primary material and continuum parameters on crack growth behavior. First, pertinent aspects of J integral and energy release rate theory for nonlinear elastic media are discussed. Nonlinear viscoelastic constitutive equations are then given, and correspondence principles which establish a simple relationship between mechanical states of elastic and viscoelastic media are developed. These principles provide the basis for the subsequent extension of J integral theory to crack growth in viscoelastic materials. Emphasis is on predicting mechanical work available at the crack tip for initiation and continuation of growth; some examples show how viscoelastic properties and the J integral affect growth behavior. Included is the problem of a crack in a thin layer having different viscoelastic properties than the surrounding continuum. The Appendix gives an apparently new constitutive theory for elastic and viscoelastic materials with changing microstructure (e.g. distributed damage) and indicates the conditions under which the fracture theory in the body of the paper is applicable.

646 citations

Journal ArticleDOI
Abstract: The problems of airport and foundation engineering have become increasingly important in the war construction program. These problems frequently involve the consideration of stresses and settlements in layered soil deposits. The well‐known Boussinesq equations apply strictly only to homogeneous soil deposits. The general theory of stresses and displacements in a twolayer system is developed in order to provide the engineer with a useful tool which is more directly applicable to the analysis of actual conditions encountered in soil deposits. The basic equations of stresses and settlements are derived. The numerical evaluation of the surface settlement equation for the simplest case of Poisson's ratio equal to one‐half has been completed as the first of a series, and is presented in the form of influence curves for the analysis of practical problems.

462 citations

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