This is a simple book. This book is about pavement analysis. A pavement is a multilayered structure, made of a number of layers placed one over the other. These layers can be made of asphaltic material, cement concrete, bound or unbound stone aggregates, etc. These materials show complex mechanical response with the variation of stress, time, or temperature. Thus, understanding the performance of an in-service pavement structure subjected to vehicular loading and environmental variations is a di_cult task.However, this is a simple book. This book presents a step-by-step formulation for analyses of load and thermal stresses of idealized pavement structures. Some of these idealizations involve assumptions of the material being linear, elastic, homogeneous and isotropic; the load being static; the thermal pro_le being linear and so on. Signi_cant research has been done on analysis and design of pavements during the last half-century (some of the fundamental developments are, however, more than hundred years old) and a large number of research publications are already available. However,there is a need for the basic formulations to be systematically compiled and put together in one place. Hence this book. It isbelieved that such a compilation will provide an exposure to the basic approaches used in pavement analyses and subsequently help the readers formulate their own research or _eld problems|moredi_cult than those dealt with in this book.The idea of this book originated when I initiated a post-graduate course on Characterization of Pavement Materials and Analysis of Pavements at IIT Kanpur. This course was introduced in 2007; that was the time we were revising the post-graduate course structure in our department. I must thank my colleague Dr. Partha Chakroborty for suggesting at that time that the TransportationEngineering program at IIT Kanpur should have a pavement engineering course with more analysis content. I also should thank him for his constant encouragement during the entire process of preparing this manuscript. One of our graduate students, Priyanka Khan, typed out portions of my lectures as class-notes. Those initial pages helped me to overcome the inertia of getting started to write this book. That is how it began. This book has eight chapters. The _rst chapter introduces the sign convention followed in the book and mentions some of the basic solid mechanics formulations used in the subsequent chapters. The second chapter deals with the material characterization of various pavement materials. It introduces simple rheological models for asphaltic material. Beams and plates on elastic foundations are dealt with in the third chapter|these formulations form the basis of analysis of concrete pavement slabs due to load. The fourth chapter covers the thermal stress in concrete pavement, and it provides formulations for axial and bending stresses due to full and partial restraint conditions. The _fth chapter starts with the analysis of elastic half-space, and enlarges it to an analysis of multi-layered structure. A formulation for thermo-rheological analysis of asphalt pavement is presented in the sixth chapter. The seventh chapter discusses the pavement design principles where pavement analyses results are used. Finally, the last chapter discusses some miscellaneous topics which include analysis of a beam/plate resting on elastic half-space, analysis of dynamic loading conditions, analysis of composite pavement, reliability issues in pavement design, and the inverse problems in paement engineering. Since this book provides an overview of basic approaches for pavement analysis, rigorous derivations for complex situations have been deliberately skipped. However, references are provided in appropriate contexts for readers who want to explore further. I must place a disclaimer that those references are not necessarily the only and the best reading material, but they are just a representative few.
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