Universality of Nonclassical Nonlinearity

Applications to Non-Destructive Evaluations and Ultrasonics
1. Auflage. Softcover version of original hardcover Auflage 2006
ISBN: 978-1-4419-2221-2
Verlag: Springer

Buch, Englisch, 546 Seiten, Paperback, Format (B × H): 178 mm x 254 mm, Gewicht: 1047 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Delsanto, Pier Paolo

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
• Naturwissenschaften Physik Elektromagnetismus Quantenoptik, Nichtlineare Optik, Laserphysik
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme

Inhaltsverzeichnis

The Universality of Nonclassical Nonlinearity.- Nonlinear Dynamical Systems in Economics.- Towards a Top-Down Approach in Materials Science.- Nonlinearity and Complexity in Elastic Wave Motion.- Hierarchies of Waves in Nonclassical Materials.- Nonequilibrium Nonlinear Dynamics in Solids: State of the Art.- Nonlinear Rock Mechanics.- Universality in Nonlinear Structural Dynamics.- The Evolutionary Advantage of Being Conservative: The Role of Hysteresis.- Cancer Growth: A Nonclassical Nonlinear Phenomenon?.- Seasonality and Harvesting, Revisited.- Applications to NDE and Ultrasonics: Models and Numerical Simulations.- Micropotential Model for Stress–Strain Hysteresis and PM Space.- Multiscale Approach and Simulations of Wave Propagation and Resonance in Media with Localized Microdamage: 1-D and 2-D Cases.- Modeling and Numerical Simulation of Nonclassical Effects of Waves, Including Phase Transition Front.- The Spectral Analysis of a PM Space Unit in the Context of the Classification of Nonlinear Phenomena in Ultrasonic Wave Propagation.- Nonlinear Ultrasonic Transmission Through Thin Bonded Interface: Theoretical Background and Numerical Simulations.- A LISA Model of the Nonlinear and Hysteretic Response of Interstitial Regions to Applied Stresses.- Numerical Analysis of the Anomalous Elastic Behavior of Hysteretic Media: Quasistatic, Dynamic, and Relaxation Experiments.- A 2-D Spring Model for the Simulation of Nonlinear Hysteretic Elasticity.- Nonclassical Nonlinear Dynamics of Solid Surfaces in Partial Contact for NDE Applications.- Nonlinear Dynamics in Granular Materials.- Thermally Induced Rate-Dependence of Hysteresis in Nonclassical Nonlinear Acoustics.- Inverse Problems and Genetic Algorithms.- Experimental Results and Applications.- Characterization andImaging of Microdamage Using Nonlinear Resonance Ultrasound Spectroscopy (NRUS): An Analytical Model.- Laboratory Experiments using Nonlinear Elastic Wave Spectroscopy (NEWS): a Precursor to Health Monitoring Applications in Aeronautics, Cultural Heritage, and Civil Engineering.- Nonlinear Elastic Wave Experiments: Learning About the Behaviour of Rocks and Geomaterials.- Intrinsic Nonlinearity in Geomaterials: Elastic Properties of Rocks at Low Strain.- Nonlinear Acoustic Techniques for NDE of Materials with Variable Properties.- Nonlinear Elastic Behavior and Ultrasonic Fatigue of Metals.- Nonlinear Acoustic NDE: Inherent Potential of Complete Nonclassical Spectra.- Generation Threshold of Subharmonic Modes in Piezoelectric Resonator.- An Overview of Failure Modes and Linear Elastic Wave Propagation Damage Detection Methods in Aircraft Structures.- Inverse Problem Solution in Acoustic Emission Source Analysis: Classical and Artificial Neural Network Approaches.

Über Autor(innen)

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.