Method for Performing Accelerated Characterization of Viscoelastic Constitutive Behavior of Asphaltic Concrete

Constitutive models based in continuum mechanics are formulated for modeling the time dependent mechanical response of asphaltic concrete. The model chosen for the initial phase of study is linear viscoelastic, resulting in stress-strain relations that are of the single integral Boltzmann type in time. Experimental equipment and testing protocols are described for obtaining material properties within the viscoelastic framework selected for characterization. A frequency sweep experimental technique is described for obtaining composite properties from short-term tests that can be used to predict long-term, time-dependent material behavior. Mathematical techniques are described for converting experimentally obtained complex compliances to creep compliances and relaxation moduli in the time domain. These techniques are then used to produce the relaxation moduli for four different mixes of asphaltic pavement.

[1]  T D White MARSHALL PROCEDURES FOR DESIGN AND QUALITY CONTROL OF ASPHALT MIXTURES , 1985 .

[2]  Richard Schapery,et al.  Deformation and fracture characterization of inelastic composite materials using potentials , 1987 .

[3]  Richard Schapery Correspondence principles and a generalizedJ integral for large deformation and fracture analysis of viscoelastic media , 1984 .

[4]  David H. Allen,et al.  A computational model for predicting damage evolution in laminated composite plates , 1999 .

[5]  Dallas N. Little,et al.  Development of criteria to evaluate uniaxial creep data and asphalt concrete permanent deformation potential , 1993 .

[6]  Richard Schapery,et al.  Simplifications in the Behavior of Viscoelastic Composites with Growing Damage , 1991 .

[7]  Nicholas W. Tschoegl,et al.  The Phenomenological Theory of Linear Viscoelastic Behavior: An Introduction , 1989 .

[8]  C R Foster DEVELOPMENT OF MARSHALL PROCEDURES FOR DESIGNING ASPHALT PAVING MIXTURES , 1982 .

[9]  R. Christensen Theory of viscoelasticity : an introduction , 1971 .

[10]  Carl L Monismith,et al.  INVESTIGATION OF LABORATORY FATIGUE TESTING PROCEDURES FOR ASPHALT AGGREGATE MIXTURES , 1993 .

[11]  J. Tinsley Oden,et al.  Applied functional analysis : a first course for students of mechanics and engineering science , 1979 .

[12]  Richard Schapery,et al.  A theory of mechanical behavior of elastic media with growing damage and other changes in structure , 1990 .

[13]  Y. Richard Kim,et al.  A viscoelastic continuum damage model and its application to uniaxial behavior of asphalt concrete , 1996 .

[14]  Richard Schapery Nonlinear Viscoelastic Constitutive Equations for Composites Based on Work Potentials , 1994 .

[15]  James G. Boyd,et al.  Micromechanical analysis of a continuous fiber metal matrix composite including the effects of matrix viscoplasticity and evolving damage , 1994 .

[16]  David H. Allen,et al.  A THREE-DIMENSIONAL FINITE ELEMENT FORMULATION FOR THERMOVISCOELASTIC ORTHOTROPIC MEDIA , 1997 .

[17]  M. De Handbuch der Physik , 1957 .

[18]  David H. Allen,et al.  Homogenization techniques for thermoviscoelastic solids containing cracks , 1998 .

[19]  N. Tschoegl The Phenomenological Theory of Linear Viscoelastic Behavior , 1989 .

[20]  A. A. Griffith The Phenomena of Rupture and Flow in Solids , 1921 .

[21]  D. Little,et al.  ONE-DIMENSIONAL CONSTITUTIVE MODELING OF ASPHALT CONCRETE , 1990 .

[22]  L. E. Malvern Introduction to the mechanics of a continuous medium , 1969 .

[23]  Michael D. Greenberg,et al.  Foundations of Applied Mathematics , 1978 .

[24]  David H. Allen,et al.  A model for predicting the damage and environmental degradation dependent life of SCS-6/Timetal®21S [0]4 metal matrix composite , 1998 .

[25]  David H. Allen,et al.  A model for predicting grain boundary cracking in polycrystalline viscoplastic materials including scale effects , 1999 .

[26]  David H. Allen,et al.  Modeling the viscoelastic response of GMT structural components , 2001 .

[27]  Y. Kim,et al.  Correspondence Principle for Characterization of Asphalt Concrete , 1995 .

[28]  D. Newcomb,et al.  Rate Sensitivity of Asphalt Concrete in Triaxial Compression , 1997 .

[29]  Y. Kim,et al.  CONTINUUM DAMAGE MECHANICS-BASED FATIGUE MODEL OF ASPHALT CONCRETE , 2000 .

[30]  Micromechanical modeling of viscoelastic response of GMT composite , 2001 .

[31]  Matthew W. Witczak,et al.  Revised Predictive Model for Dynamic (Complex) Modulus of Asphalt Mixtures , 1996 .