Nonlinear Mesoscopic Elasticity In Solids
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Nonlinear Mesoscopic Elasticity
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Author : Robert A. Guyer
language : en
Publisher: John Wiley & Sons
Release Date : 2009-08-14
Nonlinear Mesoscopic Elasticity written by Robert A. Guyer and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-14 with Science categories.
This handbook brings together a great deal of new data on the static and dynamic elastic properties of granular and other composite material. The authors are at the very center of today's research and present new and imported theoretical tools that have enabled our current understanding of the complex behavior of rocks. There are three central themes running throughout the presentation: · Rocks as the prototypical material for defining a class of materials · The PM space model as a useful theoretical construct for developing a phenomenology · A sequence of refined analysis methods. This suite of new methods for both recording and analyzing data is more than a single framework for interpretation, it is also a toolbox for the experimenter. A comprehensive and systematic book of utmost interest to anybody involved in non-destructive testing, civil engineering, and geophysics.
Nonlinear Mesoscopic Elasticity In Solids
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Author : R. A. Guyer
language : en
Publisher:
Release Date : 2001
Nonlinear Mesoscopic Elasticity In Solids written by R. A. Guyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
A variety of materials reside in the purported elasticity universality class characterized by 'nonlinear mesoscopic elasticity. Rocks, the prototypical member of this class, have extreme nonlinearity (NL), hysteresis (H), and discrete memory (DM). The experimental manifestations of NL, H, and DM will be described with Berea sandstone as example. NL, H, and DM lead to unusual behavior in laboratory resonance measurements and in a variety of geophysical contexts. An effort will be made to identify the microscopic features of materials that might be placed in this elasticity universality class.
Nonlinear Acoustic Waves In Micro Inhomogeneous Solids
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Author : Veniamin Nazarov
language : en
Publisher: John Wiley & Sons
Release Date : 2015-01-27
Nonlinear Acoustic Waves In Micro Inhomogeneous Solids written by Veniamin Nazarov and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-27 with Science categories.
Nonlinear Acoustic Waves in Micro-inhomogeneous Solids covers the broad and dynamic branch of nonlinear acoustics, presenting a wide variety of different phenomena from both experimental and theoretical perspectives. The introductory chapters, written in the style of graduate-level textbook, present a review of the main achievements of classic nonlinear acoustics of homogeneous media. This enables readers to gain insight into nonlinear wave processes in homogeneous and micro-inhomogeneous solids and compare it within the framework of the book. The subsequent eight chapters covering: Physical models and mechanisms of the structure nonlinearity of micro-inhomogeneous media with cracks and cavities; Elastic waves in media with strong acoustic nonlinearity; Wave processes in micro-inhomogeneous media with hysteretic nonlinearity; Wave processes in nonlinear micro-inhomogeneous media with relaxation; Wave processes in the polycrystalline solids with dissipative and elastic nonlinearity caused by dislocations; Experimental studies of the nonlinear acoustic phenomena in polycrystalline rocks and metals; Experimental studies of nonlinear acoustic phenomena in granular media; and Nonlinear phenomena in seismic waves are dedicated to the theoretical and experimental research of nonlinear processes, caused by longitudinal elastic waves propagation and interaction in the micro-inhomogeneous media with a strong acoustical nonlinearity of different types (elastic, hysteretic, bimodular, elastic quadratic and non-elastic). This valuable monograph is intended for graduate students and researchers in applied physics, mechanical engineering, and applied mathematics, as well as those working in a wide spectrum of disciplines in materials science.
Measurement Of Nonlinear Ultrasonic Characteristics
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Author : Kyung-Young Jhang
language : en
Publisher: Springer Nature
Release Date : 2020-01-14
Measurement Of Nonlinear Ultrasonic Characteristics written by Kyung-Young Jhang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-14 with Technology & Engineering categories.
Conventional ultrasonic methods based on ultrasonic characteristics in the linear elastic region are mainly sensitive to mature defects but are much less responsive to micro-damage or incipient material degradation. Recently, nonlinear ultrasonic characteristics beyond the linear ultrasonic amplitude range have been studied as a method for overcoming this limitation, and hence, many researchers are engaged in theoretical, experimental, and various application studies. However, the nonlinear ultrasonic characteristics are quite exacting compared to the linear phenomena so that they require vast experience and high proficiency in order to obtain proper experimental data. Actually, many researchers, especially beginners including graduate students, have difficulty in reliably measuring nonlinear ultrasonic characteristics. This book provides key technological know-how from experts with years of experience in this field, which will help researchers and engineers to obtain a clear understanding and high quality data in the nonlinear ultrasonic experiments and applications.
Universality Of Nonclassical Nonlinearity
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Author : Pier Paolo Delsanto
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-13
Universality Of Nonclassical Nonlinearity written by Pier Paolo Delsanto and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-13 with Science categories.
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.
Slow Dynamics Experiments In Solids With Nonlinear Mesoscopic Elasticity
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Author :
language : en
Publisher:
Release Date : 1999
Slow Dynamics Experiments In Solids With Nonlinear Mesoscopic Elasticity written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
As revealed by longitudinal bar resonance experiments, materials such as rocks and concrete show a rich diversity of nonlinear elastic behavior. As a function of increasing drive level, resonance frequencies shift downward by several percent, the resonant line shape changes, and harmonics and slow dynamics appear. Slow dynamics [1] refers to the time-dependent recovery of an elastic modulus to its initial value after being softened by large strain. In order to explore the mechanisms of nonlinear response including slow dynamics, we performed experiments on concrete and several different earth materials. The softening (conditioning) and recovery processes appear to be asymmetric. Conditioning takes place quickly; full recovery of the elastic modulus (as measured by drift of the resonance peak) takes minutes to hours, depending on the length of time the conditioning strain was applied. We find that for a wide variety of rocks and concretes, the recovery of the resonant frequency goes as log(time). Logarithmic time-dependence is a phenomenon associated with static friction and restoration of surface contacts, which in rocks probably takes place at touching crack surfaces.
Emerging Technologies In Ndt
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Author : D. van Hemelrijck
language : en
Publisher: CRC Press
Release Date : 2022-01-26
Emerging Technologies In Ndt written by D. van Hemelrijck and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-26 with Technology & Engineering categories.
This volume contains the papers presented at the 2nd International Conference entitled: "Emerging Technologies in NDT" which was held in Athens, Greece, May 24-26, 1999. This work covers frequently used non-destructive testing methods and introduces innovative ideas in the field. The title also focuses on visual and optical inspection, acoustic emission and ultrasonics as well as a range of other closely related topics. More than 50 papers were presented at the conferecne by invited and distinguished researchers from all over the world. This volume forms a valuable record of important contributions to the relevant literature. It contains not only the most up-to-date technology developments but provides also information regarding emerging NDT techniques/technologies and their potential applications in the field. The book covers frequently used NDT methods and introduces new and innovative ideas. Focussing on visual and optical inspection, acoustic emission, ultrasonics, nonlinear ultrasonics, infrared methods, X-ray radiography, special techniques, material characterisation, NDT of civil engineering structures, inspection of pipes and reliability and validation this volume will be a great boon to engineers, researchers, quality control managers, as well as teachers and graduate students in the field.
Bone Quantitative Ultrasound
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Author : Pascal Laugier
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-30
Bone Quantitative Ultrasound written by Pascal Laugier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-30 with Medical categories.
Quantitative ultrasound (QUS) of bone is a relatively recent research field. The research community is steadily growing, with interdisciplinary branches in acoustics, medical imaging, biomechanics, biomedical engineering, applied mathematics, bone biology and clinical sciences, resulting in significant achievements in new ultrasound technologies to measure bone, as well as models to elucidate the interaction and the propagation of ultrasonic wave in complex bone structures. Hundreds of articles published in specialists journals are accessible from the Web and from electronic libraries. However, no compilation and synthesis of the most recent and significant research exist. The only book on QUS of bone has been published in 1999 at a time when the propagation mechanisms of ultrasound in bone were still largely unknown and the technology was immature. The research community has now reached a critical size, special sessions are organized in major international meetings (e.g., at the World Congress of Biomechanics, the annual meetings of the Acoustical Society of America, International Bone Densitometry Workshop, etc...). Consequently, the time has come for a completely up to date, comprehensive review of the topic. The book will offer the most recent experimental results and theoretical concepts developed so far and is intended for researchers, graduate or undergraduate students, engineers, and clinicians who are involved in the field. The central part of the book covers the physics of ultrasound propagation in bone. Our goal is to give the reader an extensive view of the mathematical and numerical models as an aid to understand the QUS potential and the types of variables that can be determined by QUS in order to characterize bone strength. The propagation of sound in bone is still subject of intensive research. Different models have been proposed (for example, the Biot theory of poroelasticity and the theory of scattering have been used to describe wave propagation in cancellous bone, whereas propagation in cortical bone falls in the scope of guided waves theories). An extensive review of the models has not been published so far. We intend in this book to present in details the models that are used to solve the direct problem and strategies that are currently developed to address the inverse problem. This will include analytical theories and numerical approaches that have grown exponentially in recent years. Most recent experimental findings and technological developments will also be comprehensively reviewed.
Nonlinear Ultrasonic And Vibro Acoustical Techniques For Nondestructive Evaluation
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Author : Tribikram Kundu
language : en
Publisher: Springer
Release Date : 2018-10-19
Nonlinear Ultrasonic And Vibro Acoustical Techniques For Nondestructive Evaluation written by Tribikram Kundu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-19 with Technology & Engineering categories.
This multi-contributed volume provides a practical, applications-focused introduction to nonlinear acoustical techniques for nondestructive evaluation. Compared to linear techniques, nonlinear acoustical/ultrasonic techniques are much more sensitive to micro-cracks and other types of small distributed damages. Most materials and structures exhibit nonlinear behavior due to the formation of dislocation and micro-cracks from fatigue or other types of repetitive loadings well before detectable macro-cracks are formed. Nondestructive evaluation (NDE) tools that have been developed based on nonlinear acoustical techniques are capable of providing early warnings about the possibility of structural failure before detectable macro-cracks are formed. This book presents the full range of nonlinear acoustical techniques used today for NDE. The expert chapters cover both theoretical and experimental aspects, but always with an eye towards applications. Unlike other titles currently available, which treat nonlinearity as a physics problem and focus on different analytical derivations, the present volume emphasizes NDE applications over detailed analytical derivations. The introductory chapter presents the fundamentals in a manner accessible to anyone with an undergraduate degree in Engineering or Physics and equips the reader with all of the necessary background to understand the remaining chapters. This self-contained volume will be a valuable reference to graduate students through practising researchers in Engineering, Materials Science, and Physics. Represents the first book on nonlinear acoustical techniques for NDE applications Emphasizes applications of nonlinear acoustical techniques Presents the fundamental physics and mathematics behind nonlinear acoustical phenomenon in a simple, easily understood manner Covers a variety of popular NDE techniques based on nonlinear acoustics in a single volume
Advances In Complex Analysis And Applications
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Author : Francisco Bulnes
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-11-04
Advances In Complex Analysis And Applications written by Francisco Bulnes and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-04 with Computers categories.
The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.