Amplification Of Nonlinear Strain Waves In Solids
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Author |
: Alexey V. Porubov |
Publisher |
: World Scientific |
Total Pages |
: 229 |
Release |
: 2003 |
ISBN-10 |
: 9789812383266 |
ISBN-13 |
: 9812383263 |
Rating |
: 4/5 (66 Downloads) |
Synopsis Amplification of Nonlinear Strain Waves in Solids by : Alexey V. Porubov
This book treats two problems simultaneously: sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes. The text includes numerous detailed examples of the strain wave amplification and selection caused by the influence of an external medium, microstructure, moving point defects, and thermal phenomena. The main features of the book are: (1) nonlinear models of the strain wave evolution in a rod subjected by various dissipative/active factors; (2) an analytico-numerical approach for solutions to the governing nonlinear partial differential equations with dispersion and dissipation. This book is essential for introducing readers in mechanics, mechanical engineering, and applied mathematics to the concept of long nonlinear strain wave in one-dimensional wave guides. It is also suitable for self-study by professionals in all areas of nonlinear physics.
Author |
: Alexey V. Porubov |
Publisher |
: World Scientific |
Total Pages |
: 229 |
Release |
: 2003 |
ISBN-10 |
: 9789812794291 |
ISBN-13 |
: 9812794298 |
Rating |
: 4/5 (91 Downloads) |
Synopsis Amplification of Nonlinear Strain Waves in Solids by : Alexey V. Porubov
This book treats two problems simultaneously: sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes. The text includes numerous detailed examples of the strain wave amplification and selection caused by the influence of an external medium, microstructure, moving point defects, and thermal phenomena. The main features of the book are: (1) nonlinear models of the strain wave evolution in a rod subjected by various dissipative/active factors; (2) an analytico-numerical approach for solutions to the governing nonlinear partial differential equations with dispersion and dissipation. This book is essential for introducing readers in mechanics, mechanical engineering, and applied mathematics to the concept of long nonlinear strain wave in one-dimensional wave guides. It is also suitable for self-study by professionals in all areas of nonlinear physics. Contents: Basic Concepts; Mathematical Tools for the Governing Equations Analysis; Strain Solitary Waves in an Elastic Rod; Amplification of Strain Waves in Absence of External Energy Influx; Influence of Dissipative (Active) External Medium; Bulk Active or Dissipative Sources of the Amplification and Selection. Readership: Graduate students, academics and researchers in mechanics, nonlinear science and mechanical engineering.
Author |
: Arkadi Berezovski |
Publisher |
: Springer Nature |
Total Pages |
: 396 |
Release |
: 2019-11-16 |
ISBN-10 |
: 9783030299514 |
ISBN-13 |
: 3030299511 |
Rating |
: 4/5 (14 Downloads) |
Synopsis Applied Wave Mathematics II by : Arkadi Berezovski
This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem. Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.
Author |
: Vladimir I. Erofeev |
Publisher |
: Springer Nature |
Total Pages |
: 222 |
Release |
: 2020-11-13 |
ISBN-10 |
: 9783030603304 |
ISBN-13 |
: 303060330X |
Rating |
: 4/5 (04 Downloads) |
Synopsis Structural Modeling of Metamaterials by : Vladimir I. Erofeev
This book discusses the theoretical foundations of the structural modeling method applied to metamaterials. This method takes into account the parameters of the crystal lattice, the size of the medium particles, as well as their shape and constants of force interactions between them. It provides mathematical models of metamaterials that offer insights into the qualitative influence of the local structure on the effective elastic moduli of the considered medium and into performing theoretical estimations of these quantities. This book is useful for researchers working in the fields of solid mechanics, physical acoustics, and condensed matter physics, as well as for graduate and postgraduate students studying mathematical modeling methods.
Author |
: Igor V. Andrianov |
Publisher |
: Springer |
Total Pages |
: 530 |
Release |
: 2018-07-31 |
ISBN-10 |
: 9783319922348 |
ISBN-13 |
: 3319922343 |
Rating |
: 4/5 (48 Downloads) |
Synopsis Problems of Nonlinear Mechanics and Physics of Materials by : Igor V. Andrianov
This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France. The book is dedicated to Professor Leonid I. Manevitch, an outstanding scholar in the fields of Mechanics of Solids, Nonlinear Dynamics, and Polymer Physics, on the occasion of his 80th birthday.
Author |
: Gerard A Maugin |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 321 |
Release |
: 2013-04-08 |
ISBN-10 |
: 9789400763531 |
ISBN-13 |
: 9400763530 |
Rating |
: 4/5 (31 Downloads) |
Synopsis Continuum Mechanics Through the Twentieth Century by : Gerard A Maugin
This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.
Author |
: Delphine Brancherie |
Publisher |
: John Wiley & Sons |
Total Pages |
: 304 |
Release |
: 2018-01-04 |
ISBN-10 |
: 9781786302595 |
ISBN-13 |
: 1786302594 |
Rating |
: 4/5 (95 Downloads) |
Synopsis From Microstructure Investigations to Multiscale Modeling by : Delphine Brancherie
Mechanical behaviors of materials are highly influenced by their architectures and/or microstructures. Hence, progress in material science involves understanding and modeling the link between the microstructure and the material behavior at different scales. This book gathers contributions from eminent researchers in the field of computational and experimental material modeling. It presents advanced experimental techniques to acquire the microstructure features together with dedicated numerical and analytical tools to take into account the randomness of the micro-structure.
Author |
: Jaan Janno |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 161 |
Release |
: 2011-08-27 |
ISBN-10 |
: 9783642215841 |
ISBN-13 |
: 364221584X |
Rating |
: 4/5 (41 Downloads) |
Synopsis Microstructured Materials: Inverse Problems by : Jaan Janno
Complex, microstructured materials are widely used in industry and technology and include alloys, ceramics and composites. Focusing on non-destructive evaluation (NDE), this book explores in detail the mathematical modeling and inverse problems encountered when using ultrasound to investigate heterogeneous microstructured materials. The outstanding features of the text are firstly, a clear description of both linear and nonlinear mathematical models derived for modelling the propagation of ultrasonic deformation waves, and secondly, the provision of solutions to the corresponding inverse problems that determine the physical parameters of the models. The data are related to nonlinearities at both a macro- and micro- level, as well as to dispersion. The authors’ goal has been to construct algorithms that allow us to determine the parameters within which we are required to characterize microstructure. To achieve this, the authors not only use conventional harmonic waves, but also propose a novel methodology based on using solitary waves in NDE. The book analyzes the uniqueness and stability of the solutions, in addition to providing numerical examples.
Author |
: Roberto Monaco |
Publisher |
: World Scientific |
Total Pages |
: 619 |
Release |
: 2008 |
ISBN-10 |
: 9789812772343 |
ISBN-13 |
: 9812772340 |
Rating |
: 4/5 (43 Downloads) |
Synopsis Proceedings "WASCOM 2007", 14th Conference on Waves and Stability in Continuous Media by : Roberto Monaco
This volume is the fifth in a series of proceedings which started in 1999. The contributions include the latest results on the theory of wave propagation, extended thermodynamics, and the stability of the solutions to partial differential equations.
Author |
: Roberto Monaco |
Publisher |
: World Scientific |
Total Pages |
: 619 |
Release |
: 2008-04-17 |
ISBN-10 |
: 9789814474009 |
ISBN-13 |
: 9814474002 |
Rating |
: 4/5 (09 Downloads) |
Synopsis Waves And Stability In Continuous Media - Proceedings Of The 14th Conference On Wascom 2007 by : Roberto Monaco
This volume is the fifth in a series of proceedings which started in 1999. The contributions include the latest results on the theory of wave propagation, extended thermodynamics, and the stability of the solutions to partial differential equations.