Books in the Cambridge Monographs on Mechanics series

This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible.

Depending on the application, shear bands may be harmful or beneficial, but to be controlled, they must first be understood. This book establishes the mathematical setting within which shear bands may be studied and uses well established asymptotic techniques to obtain scaling laws that describe major aspects of the formation and morphology of shear bands.

Professor Achenbach discusses uses of reciprocity relations for the determination of elastodynamic fields, and presents a novel method to solve for wave fields by reciprocity of the actual field with a so-called virtual solution, shedding new light on the use of reciprocity relations for dynamic fields in elastic bodies.