Universality of Nonclassical Nonlinearity - Applications to Non-Destructive Evaluations and Ultrasonics

This book presents the results of two major international research projects on phenomenology, theory and applications of Nonclassical Nonlinearity. It conveys concepts, experimental techniques and applications which were previously found in specialized journals. It also allows for an interdisciplinary audience to better understand the range of practical applications, and is timely and interesting to both researchers and professionals.

List of contents

Part 1
P.P. Delsanto and S. Hirsekorn: Towards a top-down approach in materials science
P.Patelli: Nonlinear dynamical systems in economics
C. Condat and T.S. Deisboeck: Nonlinearity in medical sciences (oncology)
G.P. Pescarmona: Nonlinearity as a structural feature of living systems
F. Pastrone: Nonlinearity and complexity in Elastic Wave Motion
P.A. Johnson: The state of the art of nonlinear elasticity in geomaterials
G. Exadaktylos: Nonlinear Rock Mechanics
A. J. Banchio and C. A. Condat: Seasonality and Harvesting, Revisited
C. Condat, B. F. Gregor, Y. Mansury and T.S. Deisboeck: Cancer growth is a nonclassical nonlinear phenomenon
Part 2
K. Van den Abeele, S. Vanaverbeke and V. Aleshin: Multiscale Approach to Nonlinear and Hysteretic Elastodynamics in one- and two- dimensions.
F. Windels and K. Van den Abeele: Inverse modelling of microdamage characteristics in specimens of simple geometry based on NRUS
V. Aleshin and K. Van den Abeele: Molecular dynamics, micro potentials and PM space models
M. Chlada, S. Delsanto, M. Griffa, L. Morra, Z.Prevorovsky and J. Vodicka: Soft Computing Methods in Inverse Problems Solutions
J. Engelbrecht and F. Pastrone: Hierarchy of waves in non-classical materials
A. Berezovski, J. Engelbrecht and G.A. Maugin: Modelling and numerical simulation of non- classical effects of waves, including phase transition fronts
S. Hirsekorn:The Spectral Analysis of a PM Space Unit in the Context of the Classification of Nonlinear Phenomena in Ultrasonic Wave Propagation
S. Hirsekorn, M. Hirsekorn and P.P. Delsanto: Nonlinear Ultrasonic Transmission Through Thin Bonded Interface: Theoretical Background and Numerical Simulations
M. Scalerandi, M.Nobili, M. Griffa, A. Gliozzi and F. Bosia: Numerical analysis of the anomalous elastic behaviour of hysteretic media: quasi-static, dynamic and relaxation experiments
A. Gliozzi, M. Nobili and M. Scalerandi: A Lisa model of the Non Linear and hysteretic response of interstitial regions to applied stresses
M. Hirsekorn, A. Gliozzi, M. Nobili and K. Van Den Abeele: A 2D Spring Model for the Simulation Of Nonlinear Hysteretic Elasticity
A. Alippi, A. Bettucci, M. Germano and D. Passeri: Generation threshold of subharmonic modes in piezoelectric resonator
C.Pecorari and I.Solodov: Nonclassical nonlinear dynamics of interfaces between solid surfaces in contact
C. Hedberg: Inertia nonlinearity of grainy media
J.A.Tencate, P.A. Johnson, T.J. Shankland and E. Smith: Nonlinear Elastic Wave Experiments: Learning about the behaviour of rocks and geomaterials
D. Pasqualini et al.: Nonlinearity in geomaterials at low strains
I. Solodov, K. Pfleiderer and G. Busse: Nonlinear acoustic NDE: intrinsic potential of complete non-classical spectra
Part 3
K. Van den Abeele: Nonlinear Elastic wave experiments in the laboratory. Applications to various materials and microdamage mechanics
N. Wilkie Chancellier and K. Van den Abeele: Surface characterization of degraded natural building stones using Nonlinear Rayleigh Wave Propagation
A. Ravasoo and A. Braunbrück: Nonlinear acoustic techniques for NDE of materials with variable properties
S. Kurzenhäuser, A. Koka, S. Hirsekorn, and W. Arnold: Experimental Investigations of Adhesive Bonds by Nonlinear Ultrasonics
U. Rabe, M. Reinstadtler, M. Kopycinska-Müller, K. Reinstädtler, A. Caron, S. Hirsekorn, and W. Arnold: Nonlinear Ultrasonic Vibrations in Atomic Force Microscope Contacts
C. Campos-Pozuelo, C. Vanhille, and J.A. Gallego Juárez : Nonlinear behaviour and ultrasonic fatigue of metallic materials
M. Meo and/or C. Mattei: Applications to Aeronautics
Z. Prevorovsky and K. Van den Abeele: Calibration of NEWS parameters on polymer samples with well defined cracks

About the author

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.

Summary

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.

Product details

• Authors: Pier Paolo Delsanto
• Assisted by: Pier P. Delsanto (Editor), Pier Paolo Delsanto (Editor), Pie Paolo Delsanto (Editor), Pier Paolo Delsanto (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2007
• EAN: 9780387338606
• ISBN: 978-0-387-33860-6
• No. of pages: 546
• Weight: 1154 g
• Illustrations: XXI, 539 p.
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; Non-fiction book > Nature, technology > Astronomy: general, reference works; Social sciences, law, business > Media, communication > Book trade, library system; B, Quantum Optics, Quantum physics (quantum mechanics & quantum field theory), Physics and Astronomy