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Universality of Nonclassical Nonlinearity

Applications to Non-Destructive Evaluations and Ultrasonics

  • Book
  • © 2006

Overview

  • Presents the results of two major international research projects on phenomenology, theory and applications of Nonclassical Nonlinearity
  • Conveys concepts, experimental techniques and applications which were previously found in specialized journals
  • Allows for an interdisciplinary audience to better understand the range of practical applications, and is timely and interesting to both researchers and professionals

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Table of contents (32 chapters)

  1. The Universality of Nonclassical Nonlinearity

  2. Applications to NDE and Ultrasonics: Models and Numerical Simulations

Keywords

About this book

VarietyisperhapsthemostamazingattributeofNature,withanalmostendlessarrayof different molecules and aggregates and tens of millions of distinct forms of life. Yet, in spite of this bewildering diversity, there are some common patterns, henceforth called “phenomenological universalities,” that are found over and over again in completely different contexts. A quest for universalities is not only interesting per se, but can also yield practical applications. If several elds share a common mathematical or conceptual background, a cross-fertilization among them may lead to quick progress, even if ultimately the speci c details of any individual application must be considered independently. We all know that we live in a nonlinear world, although scientists have often tried to linearize it, sometimes as a rst step towards understanding its complexity, often because, before the advent of ubiquitous high computational power, a linear appro- mation was the only viable alternative. In this book we use the term “nonclassical n- linearity” with reference to a particularly intriguing kind of phenomenology, which has been extensively investigated in the last decade in the elds of elasticity and g- materials and whose universality has been conjectured. Its signatures are hystereticity, discrete memory, and other effects which, in the case of continuum mechanics, have been called “fast” and “slow” dynamics.

Editors and Affiliations

  • Dip. Fisica, Torino, Italy

    Pier Paolo Delsanto

About the editor

Pier Paolo Delsanto is currently a professor of Physics with a chair at the Politecnico of Torino Italy. He has also held a position as the Director of the Politecnico Research Unit in Condensed Matter Physics.

Bibliographic Information

  • Book Title: Universality of Nonclassical Nonlinearity

  • Book Subtitle: Applications to Non-Destructive Evaluations and Ultrasonics

  • Editors: Pier Paolo Delsanto

  • DOI: https://doi.org/10.1007/978-0-387-35851-2

  • Publisher: Springer New York, NY

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer-Verlag New York 2006

  • Hardcover ISBN: 978-0-387-33860-6

  • Softcover ISBN: 978-1-4419-2221-2

  • eBook ISBN: 978-0-387-35851-2

  • Edition Number: 1

  • Number of Pages: XXII, 546

  • Topics: Quantum Optics

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