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

ISBN-13: 9781441922212 / Angielski / Miękka / 2010 / 546 str.

Pier Paolo Delsanto

Opis

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."

Spis treści

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.

O autorze

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.

Blurb

This book comes as a result of the research work developed in the framework of two international projects: the European Science Foundation supported program NATEMIS (Nonlinear Acoustic Techniques for Micro-Scale Damage Diagnostics) and a Los Alamos-based international network. The main topics of both the programs and the book cover the phenomenology, theory and applications of Nonclassical Nonlinearity (NCNL). NCNL techniques have been found in recent years to be extremely powerful (up to 1000 times more than the corresponding linear techniques) in a wide range of applications, including Material Characterization, Ultrasonics, Geophysics and Maintenance and Restoration of artifacts. These techniques are being adopted as the main inspection and research tool in another European program: AERONEWS (Health monitoring of aircraft by nonlinear elastic wave propagation). In the future, the proposed Universality of NCNL is expected to extend the range of applications to numerous other fields and scientific disciplines outside acoustics and NDE.