Modern highways are coming under increasing pressure to perform more efficiently, both operationally and in economic terms. Traffic growth means higher and more demanding loadings, and more disruption during maintenance. Managing a national road network with a huge replacement cost demands knowledge at the leading edge. This article looks at the growing use of cutting edge research and technology in road network management in the U.K., and focuses on applications in structural pavement design, targeted surface construction in relation to accident risk, and automated intelligent monitoring and traffic operations.

Retrieval of Elastodynamic Green's Functions through Single-Sided Marchenko Inverse Scattering

At the leading edge

The present treatise is the outcome of a suggestion made to me some years ago by Mr R. R. Webb that I should assist him in the preparation of a work on Elasticity. He has unfortunately found himself unable to proceed with it, and I have therefore been obliged to take upon myself the whole of the work and the whole of the responsibility. I wish to acknowledge at the outset the debt that I owe to him as a teacher of the subject, as well as my obligation for many valuable suggestions chiefly with reference to the scope and plan of the work, and to express my regret that other engagements have prevented him from sharing more actively in its production.

The division of the subject adopted is that originally made by Clebsch in his classical treatise, where a clear distinction is ill-awn between exact solutions for bodies all whose dimensions are finite and approximate solutions for bodies some of whose dimensions can be regarded as infinitesimal. The present volume contains the general mathematical theory of the elastic properties of the first class of bodies, and I propose to treat the second class in another volume. At Mr Webb's suggestion, the exposition of the theory is preceded by an historical sketch of its origin and development. Anything like an exhaustive history has been rendered unnecessary by the work of the late Dr Todhunter as edited by Prof Karl Pearson, but it is hoped that the brief account given will at once facilitate the comprehension of the theory and add to its interest.

Readers of the historical work referred to will appreciate the difficulty of giving within a reasonable compass a complete account of all the valuable researches that have been made; and the aim of this book is rather to present a connected account of the theory in its present state, and an indication of the way in which that state has been attained, avoiding on the one hand merely analytical developments, and on the other purely technical details.

https://hal.archives-ouvertes.fr/hal-01307751/document

A treatise on the mathematical theory of elasticity

Elements of soliton theory

First-Order Partial Differential Equations. The Dirac Delta Function, Fourier Transforms, and Asymptotics. Second-Order Partial Differential Equations. The Wave Equation in One Space Dimension. The Wave Equation in Two and Three Dimensions. The Helmholtz Equation and Other Elliptic Equations. More on Asymptotic Techniques for Direct Scattering Problems. Inverse Methods for Reflector Imaging. Each chapter includes references. Index.

Mathematical Methods for Wave Phenomena

background

Fundamentals of Seismic Wave Propagation: Frontmatter

Fundamentals of Seismic Wave Propagation, published in 2004, presents a comprehensive introduction to the propagation of high-frequency body-waves in elastodynamics. The theory of seismic wave propagation in acoustic, elastic and anisotropic media is developed to allow seismic waves to be modelled in complex, realistic three-dimensional Earth models. This book provides a consistent and thorough development of modelling methods widely used in elastic wave propagation ranging from the whole Earth, through regional and crustal seismology, exploration seismics to borehole seismics, sonics and ultrasonics. Particular emphasis is placed on developing a consistent notation and approach throughout, which highlights similarities and allows more complicated methods and extensions to be developed without difficulty. This book is intended as a text for graduate courses in theoretical seismology, and as a reference for all academic and industrial seismologists using numerical modelling methods. Exercises and suggestions for further reading are included in each chapter.

/pdf/fundamentals-of-seismic-wave-propagation-59wi7hcv2i.pdf

Retrieval of Elastodynamic Green's Functions through Single-Sided Marchenko Inverse Scattering

Citations

At the leading edge

References

A treatise on the mathematical theory of elasticity

Elements of soliton theory

Mathematical Methods for Wave Phenomena

Fundamentals of Seismic Wave Propagation: Frontmatter

Fundamentals of Seismic Wave Propagation

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