In June 1994, a 150-m-long secondary road pavement section was built as part of the realignment of route 616 and 757 in Bedford County, Virginia to evaluate the performance of geosynthetically stabilized flexible pavements. The California Bearing Ratio (CBR) of the subgrade after construction was approximately 8%. The pavement section is was divided into nine individual sections, each approximately 15 m long. Sections one through three have a 100-mm-thick limestone base course (VDOT 21-B), sections four through six have a 150-mm-thick base course, and sections seven through nine have a 200-mm-thick base course. Three sections were stabilized with geotextiles and three with geogrids at the base course-subgrade interface. The remaining three sections were kept as control sections. One of each stabilization category was included in each base course thickness group. The hot-mix asphalt (HMA), SM-2A, wearing surface thickness was 78-90 mm. The outside wheel path of the inner lane was instrumented with strain gages, pressure cells, piezoelectric sensors, thermocouples, and moisture sensors. Section performances based on the instrumentation response to control and normal vehicular loading indicated that geosynthetic stabilization provided significant improvement in pavement performance. Generally, the measured pressure at the base course-subgrade interface for the geotextile-stabilized sections was lower than the geogrid-stabilized and control sections, within a specific base course thickness group. This finding agreed with other measurements, such as rut depth, ground penetration radar survey, and falling weight deflectometer survey. The control section (100-mm-thick base course) exhibited rutting that was more severe than the geosynthetically stabilized sections. Falling weight deflectometer back-calculation revealed consistently weaker subgrade strength for the geogrid-stabilized and control sections than for the geotextile-stabilized sections over the three year evaluation period. To quantitatively assess the extent of contamination, excavation of the first three sections in October 1997 revealed that fines present in the base course were significantly greater in the control and geogrid-stabilized section than in the geotextile-stabilized section. These findings led to the conclusion that the subgrade fine movement into the base layer when a separator is absent jeopardizes its strength. Further analysis of the field data showed that geotextile-stabilization may increase the service life of flexible secondary road pavements by 1.5 to 2 times. Finally, a new mechanistic-empirical flexible pavement design method for pavements with and without geosynthetics has been developed. Elasto-viscoelastic material characterization is used to characterize the HMA layer. The field results from Bedford County, Virginia project have been used to calibrate and validate the final developed design procedure. The concept of transition layer formed at the interface of base course and subgrade is also incorporated into the design approach. Powerful axisymmetric linear elastic analysis is used to solve the system of equations for mechanical and thermal loading on the pavement structure. Elasto-viscoelastic correspondence principle (EVCP) and Boltzman superposition integral (BSI) are used to convert the elastic solution to its viscoelastic counterpart and also to introduce the dynamic nature of vehicular loading. Pseudo-elastoplasticity is introduced into the problem by determining the extent of plastic strain using laboratory experimentation results and estimating the failure mechanisms, based on accumulated strains as opposed to the total strain (recoverable and non-recoverable). The pavement design approach presented in this dissertation is a hybrid of already existing techniques, as well as new techniques developed to address the visco-plastic nature of HMA. / Ph. D.

This thesis implements the empirical pavement design procedures for flexible as well as rigid pavement by American Association of State Highways and Transportation Officials (AASHTO) into two MATLAB modules of MULTI-PAVE. MULTI-PAVE was developed as a teaching tool that performs pavement thickness design for multiple design procedures using a common input file and a common output format. The AASHTO components were developed in accordance with the 1993 AASHTO Pavement Design Guide, and verified against the original design method. The thicknesses of the Asphalt Concrete, Base Course and Sub-base Course are the design outputs for flexible pavement. For rigid pavement, the thickness of slab is determined for various types of concrete pavements. The modules will be included in a MULTI-PAVE framework to compare the design outputs with other design methods.

Stochastic analysis provides a rationale for the treatment of uncertainties, founded on the principles of probability theory and statistics, and is concerned with a quantifiable measure of the confidence or the reliability associated with any design process. In this thesis, a stochastic approach is employed in the design of flexible pavement structures, to facilitate the development of safe and reliable pavement structures. The important aspects that have been explored in sufficient detail include the system reliability and global sensitivity analysis, and the spatial and temporal uncertainties that pervade the life of pavements. Chapter 1 of the thesis provides an introduction to the stochastic modelling of flexible pavements and its significance in the present day. Highlighting the need for this study, this chapter also enumerates its objectives and presents an overview of the organization of the thesis. Chapter 2 provides a review of the existing literature of the design of flexible pavements and the approaches adopted to deal with the various sources of uncertainties in a probabilistic setting. The estimation of the uncertainties in fundamental pavement design inputs and their integration into the general performance prediction procedures has become a required component of the modern Mechanistic-Empirical pavement design methodology, which has been described in detail. This chapter also provides the scope of the thesis by identifying the areas of stochastic analysis that have received little attention in the flexible pavement design, which include the effect of spatial variability on the pavement structural responses and the techniques of global sensitivity analysis. Chapter 3 provides a detailed overview of the various methodologies adopted in this thesis to carry out the stochastic modelling of flexible pavements. The fundamental technique adopted for the analysis of reliability is the Monte Carlo Simulation (MCS), which relies upon a numerical/analytical model of the physical system, i.e. the pavement model and a probabilistic description of the design parameters represented by random variables or random fields. The high computational expense associated with the MCS, particularly in the case of random fields, is tackled by the use of meta-models based on the stochastic response surface methodology. The chapter outlines the steps followed to develop the meta-models in the form of Polynomial Chaos Equations (PCEs) and its extension to the Sparse PCE that can conveniently represent the spatial variability of the pavement fields. Chapter 4 deals with the probabilistic modelling of flexible pavements, where the design parameter and model uncertainties are quantified based on the available literature studies. The global sensitivity analysis, which aims to study the impact of the input uncertainty on the variation of a model output (critical pavement responses) through uncertainty propagation, is achieved by the construction of the Polynomial Chaos Equations (PCEs). To implement the global sensitivity analysis in a system reliability framework, a generalized approach based on Bayes’ theorem and the concept of entropy as a sensitivity measure, has been proposed in this chapter. Chapter 5 deals with the characterization of the spatial variability inherent in the pavement layer by employing random fields and analyzing the effect on the pavement responses. The discretization of the random field into a vector of random variables is achieved through the simple Midpoint Discretization and the efficient Expansion Optimal Linear Estimation method. Since the computational effort in stochastic problems is proportional to the number of random variables involved, it is desirable to use a small number of random variables to represent the random field. To achieve this, the principle of transformation of the original random variables into a set of uncorrelated random variables through an eigenvalue orthogonalization procedure is adopted. To further increase the computational efficiency of generating random fields for Monte Carlo Simulation, the variance reduction technique of Latin Hypercube Sampling and the meta-modelling technique using Sparse Polynomial Chaos Equations (SPCEs) are implemented. The primary focus of this chapter is to analyze the influence of the spatial variability of the pavement layer moduli, including its anisotropic characteristics on the pavement structural responses. Chapter 6 focuses on the time-dependent reliability of the pavement structures as they age in service, with due consideration given to degradation of strength with traffic loading. The study is concerned with the fatigue reliability and thereby only the decrease in the asphalt modulus with time is considered as a function of the accumulated damage due to repeated loading, whose uncertainty is determined by the uncertainties of material parameters and the traffic loading. The time-dependent model adopted in this chapter can be quite effortlessly embedded in the Mechanistic-Empirical design framework, and provides a tool to effectively schedule the maintenance of the pavement structure and ensure that the reliability level remains at the desired level for the entire design life of the structure. Chapter 7 summarizes the various studies reported in this thesis and highlights the important conclusions.