Dynamic Viscoelastic Analysis of Asphalt Pavements using a Finite Element Formulation

ABSTRACT This paper studies the effect of time and load rate on the structural response of asphalt pavements when the surface layer is a linear viscoelastic material. A finite element incremental algorithm for dynamic analysis of viscoelastic solids is presented, where the stresses are computed using a hereditary integral in which the relaxation modulus is described by a Prony-Dirichlet series. The stresses are integrated in a semi-analytical form, whereas the dynamic equilibrium equations are integrated by the Trapezoidal Rule. Different pulse loads are considered and the viscoelastic responses of different asphalt layer thicknesses are compared. Several performance indicators typically utilized in pavement design are studied, particularly those at the surface layer, i.e., tensile stress and strain, shear strain, and surface deflection.

[1]  Isaac L. Howard,et al.  Finite-Element Modeling of Instrumented Flexible Pavements under Stationary Transient Loading , 2009 .

[2]  Sumit Basu,et al.  Numerical simulation of mechanical behaviour of asphalt mix , 2008 .

[3]  Imad L. Al-Qadi,et al.  Dynamic Analysis and in Situ Validation of Perpetual Pavement Response to Vehicular Loading , 2008 .

[4]  Jorge Barbosa Soares,et al.  A Computational Model for Predicting the Effect of Tire Configuration on Asphaltic Pavement Life , 2008 .

[5]  Kaspar Willam,et al.  Review of The Finite Element Method for Solid and Structural Mechanics, 6th Edition, by O. C. Zienkiewicz and R. L. Taylor , 2006 .

[6]  Imad L. Al-Qadi,et al.  Flexible pavement responses to different loading amplitudes considering layer interface condition and lateral shear forces , 2006 .

[7]  Imad L. Al-Qadi,et al.  Viscoelastic Modeling and Field Validation of Flexible Pavements , 2006 .

[8]  Ghassan R. Chehab,et al.  Characterization of Asphalt Concrete in Tension Using a ViscoElastoPlastic Model , 2002 .

[9]  Peter E. Sebaaly,et al.  Pavement Strain from Moving Dynamic 3D Load Distribution , 1998 .

[10]  Y. Kim,et al.  VISCOELASTIC CONTINUUM DAMAGE MODEL OF ASPHALT CONCRETE WITH HEALING , 1998 .

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

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

[13]  K. Bathe.  Finite Element Procedures , 1995 .

[14]  N. Hasebe,et al.  The finite element method of three-dimensional nonlinear viscoelastic large deformation problems , 1995 .

[15]  Peter E. Sebaaly,et al.  Dynamic Pavement-Strain Histories from Moving Traffic Load , 1994 .

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

[17]  H. Saunders.  Book Reviews : NUMERICAL METHODS IN FINITE ELEMENT ANALYSIS K.-J. Bathe and E.L. Wilson Prentice-Hall, Inc, Englewood Cliffs, NJ , 1978 .

[18]  Richard Schapery,et al.  A theory of crack initiation and growth in viscoelastic media , 1975 .

[19]  Zhong Yang.  Dynamic viscoelastic analysis of asphalt pavements , 2009 .

[20]  K. Su,et al.  ANALYSIS OF SHEAR STRESS IN ASPHALT PAVEMENTS UNDER ACTUAL MEASURED TIRE-PAVEMENT CONTACT PRESSURE , 2008 .

[21]  P. Owende,et al.  Finite element modelling of flexible pavements on soft soil subgrades , 2007 .

[22]  Jorge Barbosa Soares,et al.  Finite element modeling of flexible pavements , 2006 .

[23]  Jorge Barbosa Soares,et al.  An Object-Oriented System for Finite Element Analysis of Pavements , 2006 .

[24]  Dallas N. Little,et al.  Microstructural Viscoplastic Continuum Model for Permanent Deformation in Asphalt Pavements , 2005 .

[25]  Jorge Barbosa Soares,et al.  Model for Predicting Damage Evolution in Heterogeneous Viscoelastic Asphaltic Mixtures , 2004 .

[26]  Khalid A. Ghuzlan,et al.  Fatigue Endurance Limit for Highway and Airport Pavements , 2003 .

[27]  Cor Kasbergen,et al.  Development and Finite Element Implementation of Stress-Dependent Elastoviscoplastic Constitutive Model with Damage for Asphalt , 2003 .

[28]  Y. Richard Kim,et al.  VISCOELASTIC CONSTITUTIVE MODEL FOR ASPHALT CONCRETE UNDER CYCLIC LOADING , 1998 .

[29]  Yang H. Huang,et al.  Pavement Analysis and Design , 1997 .

[30]  Sameh Zaghloul,et al.  USE OF A THREE-DIMENSIONAL, DYNAMIC FINITE ELEMENT PROGRAM FOR ANALYSIS OF FLEXIBLE PAVEMENT , 1993 .

[31]  Leahy.  Permanent deformation characteristics of asphalt concrete , 1989 .

[32]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[33]  S F Brown,et al.  DETERMINATION OF YOUNG'S MODULUS FOR BITUMINOUS MATERIALS IN PAVEMENT DESIGN , 1973 .

[34]  R. D. Barksdale,et al.  COMPRESSIVE STRESS PULSE TIMES IN FLEXIBLE PAVEMENTS FOR USE IN DYNAMIC TESTING , 1971 .

[35]  R. Christensen,et al.  Theory of Viscoelasticity , 1971 .

[36]  R. Taylor,et al.  Thermomechanical analysis of viscoelastic solids , 1970 .