Fatigue Modeling as Related to Flexible Pavement Design

ABSTRACT A literature study of rheological and fatigue modeling of asphalt mixtures is presented. Theoretical aspects on structural modeling, rheological behavior and the fatigue integration in design procedures are reviewed. In principle, pavement design methods can be categorized in three broad groups: empirical, semi-mechanistic and fully mechanistic methods. Pavement design is generally performed using semi-mechanistic methods comprising analytical or numerical structural response models and deterioration modeling based on transfer functions and shift factors. In the case of fatigue deterioration, several approaches have been elaborated e.g. classical models, fracture mechanics and damage mechanics. The approaches differ regarding theoretical foundation and evaluation methods used. Recognizing significant limitations concerning theoretical basis as well as lack of empirical support for current design methods, a shift in paradigm from semi-empirical methods towards more advanced fully mechanistic methods have been initiated. According to this approach, improved pavements are achieved by appropriate design methods which are capable of predicting fatigue resistance in the actual pavement environment, and thus taking into account complex stress conditions, influence of temperature and material characteristics, such as aging and healing.

[1]  S. Suresh.  Fatigue of materials , 1991 .

[2]  A. T. Papagiannakis,et al.  Micromechanical Analysis of Viscoelastic Properties of Asphalt Concretes , 2002 .

[3]  S. W. Park,et al.  Methods of interconversion between linear viscoelastic material functions. Part I-a numerical method based on Prony series , 1999 .

[4]  David Cebon,et al.  Fracture Mechanisms in Asphalt Concrete , 2000 .

[5]  Richard Schapery,et al.  Homogenized Constitutive Equations for Linear Viscoelastic Unidirectional Composites with Growing Transverse Cracks , 2002 .

[6]  D. Little,et al.  Fatigue characterization of asphalt concrete using viscoelasticity and continuum damage theory , 1997 .

[7]  G M Dormon,et al.  DEVELOPMENTS IN THE APPLICATION IN PRACTICE OF A FUNDAMENTAL PROCEDURE FOR THE DESIGN OF FLEXIBLE PAVEMENTS , 1967 .

[8]  R C Herner,et al.  MECHANICAL PROPERTIES OF ASPHALT MATERIALS AND STRUCTURAL DESIGN OF ASPHALT ROADS , 1954 .

[9]  R. S. Rivlin,et al.  The mechanics of non-linear materials with memory , 1957 .

[10]  Yang H. Huang,et al.  Pavement analysis and design , 1992 .

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

[12]  O Abdulshafi.  EFFECT OF AGGREGATE ON ASPHALT MIXTURE CRACKING USING TIME- DEPENDENT FRACTURE MECHANICS APPROACH , 1992 .

[13]  Per Ullidtz,et al.  Finite element simulation of asphalt fatigue testing , 1997 .

[14]  L. A. Palmer,et al.  THE THEORY OF STRESS AND DISPLACEMENTS IN LAYERED SYSTEMS AND APPLICATIONS TO THE DESIGN OF AIRPORT RUNWAYS , 1944 .

[15]  Arun Shukla,et al.  Simulation of Asphalt Materials Using Finite Element Micromechanical Model with Damage Mechanics , 2003 .

[16]  Sungho Mun,et al.  Fatigue Cracking Mechanisms in Asphalt Pavements with Viscoelastic Continuum Damage Finite-Element Program , 2004 .

[17]  O. Basquin.  The exponential law of endurance tests , 1910 .

[18]  Chandrakant S. Desai,et al.  Constitutive laws for engineering materials, with emphasis on geologic materials , 1984 .

[19]  Murthy N. Guddati,et al.  Toward a Micromechanics-Based Procedure to Characterize Fatigue Performance of Asphalt Concrete , 2002 .

[20]  J. Begley,et al.  A Fracture Mechanics Approach to Creep Crack Growth , 1976 .

[21]  R Roque,et al.  EVALUATION OF TOP-DOWN CRACKING IN THICK ASPHALT PAVEMENTS AND THE IMPLICATIONS FOR PAVEMENT DESIGN , 2001 .

[22]  E N Thrower.  A parametric study of a fatigue prediction model for bituminous road pavements , 1979 .

[23]  S. W. Park,et al.  A viscoelastic constitutive model for particulate composites with growing damage , 1997 .

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

[25]  Ulf Isacsson,et al.  Influence of Hysteretic Heating on Asphalt Fatigue Characterization , 2004 .

[26]  Wei-shih Yang,et al.  Mesoplasticity and its Applications , 1993 .

[27]  Heshmat A. Aglan,et al.  Damage-Evolution Approach to Fatigue Cracking in Pavements , 1993 .

[28]  Didier Bodin,et al.  PREDICTION OF THE INTRINSIC DAMAGE DURING BITUMINOUS MIXES FATIGUE TESTS , 2003 .

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

[30]  S. W. Park,et al.  Methods of interconversion between linear viscoelastic material functions. Part II—an approximate analytical method , 1999 .

[31]  Ulf Isacsson,et al.  Characterization of Asphalt Concrete Deterioration Using Monotonic and Cyclic Tests , 2003 .

[32]  J. Lemaitre,et al.  Mécanique des matériaux solides , 1996 .

[33]  M. Huggins.  Viscoelastic Properties of Polymers. , 1961 .

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

[35]  Richard Schapery.  Nonlinear viscoelastic and viscoplastic constitutive equations with growing damage , 1999 .

[36]  Y R Kim,et al.  DEVELOPMENT OF A SIMPLIFIED FATIGUE TEST AND ANALYSIS PROCEDURE USING A VISCOELASTIC, CONTINUUM DAMAGE MODEL (WITH DISCUSSION) , 2002 .

[37]  F N Finn,et al.  THEORETICAL CONCEPTS APPLIED TO ASPHALT CONCRETE PAVEMENT DESIGN , 1962 .

[38]  R. Roque,et al.  EVALUATION OF EMPIRICAL AND THEORETICAL MODELS TO DETERMINE ASPHALT MIXTURE STIFFNESSES AT LOW TEMPERATURES (WITH DISCUSSION) , 1996 .

[39]  G. Irwin.  ANALYSIS OF STRESS AND STRAINS NEAR THE END OF A CRACK TRAVERSING A PLATE , 1957 .

[40]  C L Monismith,et al.  ASPHALT MIXTURE BEHAVIOUR IN REPEATED FLEXURE (WITH DISCUSSION AND CLOSURE) , 1961 .

[41]  Matthew W Witczak,et al.  Viscoelastic, Viscoplastic, and Damage Modeling of Asphalt Concrete in Unconfined Compression , 2003 .

[42]  G M Dormon.  THE EXTENSION TO PRACTICE OF A FUNDAMENTAL PROCEDURE FOR THE DESIGN OF FLEXIBLE PAVEMENTS , 1962 .

[43]  M. Witczak,et al.  Viscoplasticity Modeling of Asphalt Concrete Behavior , 2003 .

[44]  D J Steele.  CLASSIFICATION OF HIGHWAY SUBGRADE MATERIALS , 1946 .

[45]  A.A.A. Molenaar,et al.  Structural performance and design of flexible road constructions and asphalt concrete overlays , 1983 .

[46]  A C Pronk,et al.  THEORY, VALIDATION AND APPLICATION OF THE VISCO-ELASTIC MULTILAYER PROGRAM VEROAD , 1997 .

[47]  F Fee,et al.  DEVELOPMENT OF LONG-LIFE OVERLAYS FOR EXISTING PAVEMENT INFRASTRUCTURE PROJECTS WITH SURFACE CRACKING IN NEW JERSEY , 2001 .

[48]  M. A. Mull,et al.  Fracture resistance characterization of chemically modified crumb rubber asphalt pavement , 2002 .

[49]  J. Rice.  A path-independent integral and the approximate analysis of strain , 1968 .

[50]  S. Esterby.  American Society for Testing and Materials , 2006 .

[51]  J O Morton.  THE PREPARATION OF SUBGRADES , 1939 .

[52]  F. Leckie.  A course on damage mechanics , 1998 .

[53]  D. Little,et al.  MECHANISTIC EVALUATION OF SELECTED ASPHALT ADDITIVES (WITH DISCUSSION) , 1987 .

[54]  F N Hveem,et al.  THE FACTORS UNDERLYING THE RATIONAL DESIGN OF PAVEMENTS , 1949 .

[55]  A. A. A. Molenaar,et al.  A Simplified Practical Procedure for Estimation of Fatigue and Crack Growth Characteristics of Asphaltic Mixes , 2000 .

[56]  Richard Schapery,et al.  A micromechanical model for non-linear viscoelastic behavior of particle-reinforced rubber with distributed damage , 1986 .

[57]  R. E. Sonntag,et al.  Fundamentals of classical thermodynamics , 1973 .

[58]  J Craus,et al.  SUMMARY REPORT ON FATIGUE RESPONSE OF ASPHALT MIXTURES , 1990 .

[59]  Dv Ramsamooj.  Prediction of Fatigue Performance of Asphalt Concrete Mixes , 1999 .

[60]  A. H. Cardon,et al.  Further development of a data reduction method for the nonlinear viscoelastic characterization of FRPs , 1999 .

[61]  K Majidzadeh,et al.  APPLICATION OF FRACTURE MECHANICS FOR IMPROVED DESIGN OF BITUMINOUS CONCRETE VOLUME 1. PLAN OF RESEARCH, STATE-OF-THE-ART, AND MATHEMATICAL INVESTIGATIONS , 1976 .

[62]  H diBenedetto,et al.  FATIGUE OF BITUMINOUS MIXTURES: DIFFERENT APPROACHES AND RILEM GROUP CONTRIBUTION , 2003 .

[63]  Ulf Isacsson,et al.  An investigation of the applicability of Schapery's work potential model for characterization of asphalt fatigue behavior , 2004 .

[64]  Pierre Chaverot,et al.  FATIGUE DAMAGE FOR BITUMINOUS MIXTURES: A PERTINENT APPROACH , 1996 .

[65]  Kamran Majidzadeh.  Application of fracture mechanics for improved design of bituminous concrete , 1976 .

[66]  Ulf Isacsson,et al.  Asphalt Fatigue Modelling Using Viscoelastic Continuum Damage Theory , 2003 .

[67]  R A Schapery,et al.  A Theory of Crack Growth in Viscoelastic Media , 1973 .

[68]  A. Palmgren.  Die Lebensdauer von Kugellargern , 1924 .

[69]  Jo Sias Daniel.  Development of a simplified fatigue test and analysis procedure using a viscoelastic, continuum damage model and its implementation to WesTrack mixtures , 2001 .

[70]  David H. Allen,et al.  Thermomechanical Coupling in Inelastic Solids , 1991 .

[71]  Herbert Leaderman,et al.  Elastic and creep properties of filamentous materials and other high polymers , 1943 .

[72]  C. Inglis.  Stresses in a plate due to the presence of cracks and sharp corners , 1913 .

[73]  Robert L. Lytton,et al.  METHODOLOGY FOR PREDICTING THE REFLECTION CRACKING LIFE OF ASPHALT CONCRETE OVERLAYS , 1979 .

[74]  G M Rowe,et al.  Performance of asphalt mixtures in the trapezoidal fatigue test , 1993 .

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

[76]  Richard Schapery,et al.  Viscoelastic Characterization of a Nonlinear Fiber-Reinforced Plastic , 1971 .

[77]  Moustapha Alimami.  CONTRIBUTION A L'ETUDE DE L'ENDOMMAGEMENT PAR FATIGUE DES ENROBES BITUMINEUX , 1987 .

[78]  Richard Schapery,et al.  An Investigation of the Existence of a Work Potential for Fiber-Reinforced Plastic , 1993 .

[79]  J. Judycki,et al.  Fatigue of asphalt mixes , 1991 .

[80]  P. C. Paris,et al.  A Critical Analysis of Crack Propagation Laws , 1963 .

[81]  J W Button,et al.  Investigation of asphalt additives , 1987 .

[82]  Elias Doubbaneh.  Comportement mécanique des enrobés bitumineux des "petites" aux "grandes" déformations , 1995 .

[83]  M E Nunn,et al.  DESIGN OF LONG-LIFE FLEXIBLE PAVEMENTS FOR HEAVY TRAFFIC , 1997 .

[84]  Nils Odemark,et al.  Undersökning av elasticitetsegenskaperna hos olika jordarter samt teori för beräkning av beläggningar enligt elasticitetsteorin , 1949 .

[85]  André Molenaar,et al.  Application of fracture mechanics principles to analyse cracking in asphalt concrete , 1996 .

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

[87]  Kamran Majidzadeh,et al.  Analysis of Fatigue of Paving Mixtures From the Fracture Mechanics Viewpoint , 1972 .

[88]  Aim Claessen,et al.  ASPHALT PAVEMENT DESIGN--THE SHELL METHOD , 1977 .

[89]  G. R. Irwin,et al.  ONSET OF FAST CRACK PROPAGATION IN HIGH STRENGTH STEEL AND ALUMINUM ALLOYS , 1956 .

[90]  Y. Fung.  Foundations of solid mechanics , 1965 .

[91]  Richard Schapery.  On the characterization of nonlinear viscoelastic materials , 1969 .

[92]  W. Heukelom,et al.  Dynamic Testing of Pavements , 1962 .

[93]  K R Peattie,et al.  A FUNDAMENTAL APPROACH TO THE DESIGN OF FLEXIBLE PAVEMENTS , 1962 .

[94]  Reynaldo Roque,et al.  MICROSTRUCTURE AND FRACTURE IN ASPHALT MIXTURES USING A BOUNDARY ELEMENT APPROACH , 2004 .

[95]  J. Rice,et al.  PARADOXES IN THE APPLICATION OF THERMODYNAMICS TO STRAINED SOLIDS. , 1969 .

[96]  Rodney Hill,et al.  Elastic potentials and the structure of inelastic constitutive laws , 1973 .

[97]  N. Dowling,et al.  Fatigue Crack Growth During Gross Plasticity and the J-Integral , 1976 .

[98]  D H Shields,et al.  Nonlinear viscoelastic behavior of asphalt concrete in stress relaxation , 1998 .

[99]  E. W. C. Wilkins,et al.  Cumulative damage in fatigue , 1956 .

[100]  R. Christensen,et al.  On Obtaining Solutions in Nonlinear Viscoelasticity , 1968 .

[101]  L. C. Brinson,et al.  A Sign Control Method for Fitting and Interconverting Material Functions for Linearly Viscoelastic Solids , 1997 .

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

[103]  Yanqing Zhao,et al.  Permanent Deformation Characterization of Asphalt Concrete Using a Viscoelastoplastic Model , 2002 .

[104]  S. Sulaiman,et al.  The use of fracture mechanics for the evaluation of asphalt mixes , 1995 .

[105]  J. Piau,et al.  MODELISATION THERMOMECANIQUE DU COMPORTEMENT DES ENROBES BITUMINEUX , 1989 .

[106]  D Ramsamooj,et al.  ANALYSIS OF FATIGUE OF A SAND-ASPHALT MIXTURE , 1969 .

[107]  Robert L. Lytton,et al.  FATIGUE DAMAGE PROPERTIES OF ASPHALTIC CONCRETE PAVEMENTS , 1990 .

[108]  Metcalf,et al.  DESIGN CURVES FOR FLEXIBLE PAVEMENTS BASED ON LAYERED SYSTEM THEORY , 1965 .

[109]  A Abdulshafi,et al.  J-INTEGRAL AND CYCLIC PLASTICITY APPROACH TO FATIGUE AND FRACTURE OF ASPHALTIC MIXTURES , 1985 .

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