Questions About Elastic Waves
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| Author | : Jüri Engelbrecht |
| Publisher | : Springer |
| Total Pages | : 205 |
| Release | : 2015-03-05 |
| Genre | : Mathematics |
| ISBN | : 3319147919 |
This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers. The questions follow the analytical sequence from elementary understandings to complicated cases, following a step-by-step path towards increased knowledge. The focus is on waves in elastic solids, although some examples also concern non-conservative cases for the sake of completeness. Special attention is paid to the understanding of the influence of microstructure, nonlinearity and internal variables in continua. With the help of many mathematical models for describing waves, physical phenomena concerning wave dispersion, nonlinear effects, emergence of solitary waves, scales and hierarchies of waves as well as the governing physical parameters are analysed. Also, the energy balance in waves and non-conservative models with energy influx are discussed. Finally, all answers are interwoven into the canvas of complexity.
| Author | : Brian Michael Lempriere |
| Publisher | : Elsevier |
| Total Pages | : 265 |
| Release | : 2003-11-13 |
| Genre | : Science |
| ISBN | : 0080519857 |
Ultrasound has found an increasing number of applications in recent years due to greatly increased computing power. Ultrasound devices are often preferred over other devices because of their lower cost, portability, and non-invasive nature. Patients using ultrasound can avoid the dangers of radiological imaging devices such as x-rays, CT scans, and radioactive media injections. Ultrasound is also a preferred and practical method of detecting material fatique and defects in metals, composites, semiconductors, wood, etc. - Detailed appendices contain useful formulas and their derivations, technical details of relevant theories - The FAQ format is used where a concept in one answer leads to a new Q
| Author | : Michael A Slawinski |
| Publisher | : World Scientific |
| Total Pages | : 577 |
| Release | : 2018-05-04 |
| Genre | : Science |
| ISBN | : 9813239891 |
'In summary, Professor Slawinski has written an engaging volume covering an unfamiliar topic in a highly accessible fashion. Non-specialists will gain a significant appreciation of the unique complexities associated with seismology.'Contemporary PhysicsThe author dedicates this book to readers who are concerned with finding out the status of concepts, statements and hypotheses, and with clarifying and rearranging them in a logical order. It is thus not intended to teach tools and techniques of the trade, but to discuss the foundations on which seismology — and in a larger sense, the theory of wave propagation in solids — is built. A key question is: why and to what degree can a theory developed for an elastic continuum be used to investigate the propagation of waves in the Earth, which is neither a continuum nor fully elastic. But the scrutiny of the foundations goes much deeper: material symmetry, effective tensors, equivalent media; the influence (or, rather, the lack thereof) of gravitational and thermal effects and the rotation of the Earth, are discussed ab initio. The variational principles of Fermat and Hamilton and their consequences for the propagation of elastic waves, causality, Noether's theorem and its consequences on conservation of energy and conservation of linear momentum are but a few topics that are investigated in the process to establish seismology as a science and to investigate its relation to subjects like realism and empiricism in natural sciences, to the nature of explanations and predictions, and to experimental verification and refutation.In the second edition, new sections, figures, examples, exercises and remarks are added. Most importantly, however, four new appendices of about one-hundred pages are included, which can serve as a self-contained continuum-mechanics course on finite elasticity. Also, they broaden the scope of elasticity theory commonly considered in seismology.
| Author | : Irna Lyublinskaya |
| Publisher | : |
| Total Pages | : 1665 |
| Release | : 2015-07-31 |
| Genre | : Physics |
| ISBN | : 9781938168932 |
"This introductory, algebra-based, two-semester college physics book is grounded with real-world examples, illustrations, and explanations to help students grasp key, fundamental physics concepts. ... This online, fully editable and customizable title includes learning objectives, concept questions, links to labs and simulations, and ample practice opportunities to solve traditional physics application problems."--Website of book.
| Author | : Oswaal Editorial Board |
| Publisher | : Oswaal Books |
| Total Pages | : 815 |
| Release | : 2023-10-28 |
| Genre | : Study Aids |
| ISBN | : 9359589098 |
Description of the Product: 1. 100% updated with Fully Solved Paper of April & September 2023. 2. Concept Clarity with detailed explanations of 2017 (I) to 2023 Papers. 3. Extensive Practice with 600+ Questions and Two Sample Question Papers. 4. Crisp Revision with Mind Maps. 5. Expert Tips helps you get expert knowledge master & crack NDA/NA in first attempt. 6. Exam insights with 4 Year-wise (2020-2023) Trend Analysis, empowering students to be 100% exam ready.
| Author | : Jeremiah J. Rushchitsky |
| Publisher | : Springer Science & Business |
| Total Pages | : 445 |
| Release | : 2014-04-23 |
| Genre | : Science |
| ISBN | : 3319004646 |
The main goal of the book is a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, which corresponds to one modern line of development of the nonlinear theory of elastic waves. The book is divided on five basic parts: the necessary information on waves and materials; the necessary information on nonlinear theory of elasticity and elastic materials; analysis of one-dimensional nonlinear elastic waves of displacement – longitudinal, vertically and horizontally polarized transverse plane nonlinear elastic waves of displacement; analysis of one-dimensional nonlinear elastic waves of displacement – cylindrical and torsional nonlinear elastic waves of displacement; analysis of two-dimensional nonlinear elastic waves of displacement – Rayleigh and Love nonlinear elastic surface waves. The book is addressed first of all to people working in solid mechanics – from the students at an advanced undergraduate and graduate level to the scientists, professionally interesting in waves. But mechanics is understood in the broad sense, when it includes mechanical and other engineering, material science, applied mathematics and physics and so forth. The genesis of this book can be found in author’s years of research and teaching while a head of department at SP Timoshenko Institute of Mechanics (National Academy of Sciences of Ukraine), a member of Center for Micro and Nanomechanics at Engineering School of University of Aberdeen (Scotland) and a professor at Physical-Mathematical Faculty of National Technical University of Ukraine “KPI”. The book comprises 11 chapters. Each chapter is complemented by exercises, which can be used for the next development of the theory of nonlinear waves.
| Author | : Edwin Lee Hamilton |
| Publisher | : |
| Total Pages | : 234 |
| Release | : 1969 |
| Genre | : Marine sediments |
| ISBN | : |
| Author | : F. McCarthy |
| Publisher | : Elsevier |
| Total Pages | : 663 |
| Release | : 2018-06-20 |
| Genre | : Technology & Engineering |
| ISBN | : 1483290662 |
This volume contains a timely collection of research papers on the latest developments in the ever-increasing use of elastic waves in a variety of contexts. There are reports on wave-propagation in various types of media: in both isotropic and anisotropic bodies; in homogeneous and inhomogeneous media; in media with cracks or inclusions in random media; and in layered composites.The bulk of the papers are concerned with propagation in elastic media, but also included are viscoelastic, thermoelastic and magneto-electroelastic wave propagation, as well as waves in porous and piezo-electric bodies. Consideration is given to propagation in bodies as diverse as stretched elastic strings to surfaces such as thin walled cylinders, and thin films under stress. Applications considered include the determination of the depth of cracks; analysis of ground motions generated by a finite fault in seismology; surface wave spreading on piezo-electric solids; and dynamical stress intensity factors. Most of the papers are theoretical in nature, and many are complemented by numerical studies. Also included are a general survey on experimental techniques, and reports on experimental work.The volume will be of interest to those who do theoretical studies of elastic wave propagation and to those who apply elastic waves whether in seismology, non-destructive testing, the fabrication of devices or underwater acoustics, etc.
| Author | : Srinivasan Gopalakrishnan |
| Publisher | : CRC Press |
| Total Pages | : 385 |
| Release | : 2022-08-29 |
| Genre | : Science |
| ISBN | : 1000636518 |
Elastic Wave Propagation in Structures and Materials initiates with a brief introduction to wave propagation, different wave equations, integral transforms including fundamentals of Fourier Transform, Wavelet Transform, Laplace Transform and their numerical implementation. Concept of spectral analysis and procedure to compute the wave parameters, wave propagation in 1-D isotropic waveguides, wave dispersion in 2-D waveguides is explained. Wave propagation in different media such as laminated composites, functionally graded structures, granular soils including non-local elasticity models is addressed. The entire book is written in modular form and analysis is performed in frequency domain. Features: Brings out idea of wave dispersion and its utility in the dynamic responses. Introduces concepts as Negative Group Speeds, Einstein’s Causality and escape frequencies using solid mathematical framework. Discusses the propagation of waves in materials such as laminated composites and functionally graded materials. Proposes spectral finite element as analysis tool for wave propagation. Each concept/chapter supported by homework problems and MATLAB/FORTRAN codes. This book aims at Senior Undergraduates and Advanced Graduates in all streams of engineering especially Mechanical and Aerospace Engineering.
| Author | : V. K. Sally |
| Publisher | : Goyal Brothers Prakashan |
| Total Pages | : 218 |
| Release | : 2023-05-20 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 9388676750 |
The book "A New Approach to I.C.S.E. Physics for Class IX" has been revised and updated in accordance with the latest syllabus of physics prescribed by the Council for Indian School Certificate Examination, New Delhi for Class IX of Indian Certificate of Secondary Education (I.C.S.E.) Examinations. The main strength of the book lies in the subject matter and the experience that a student will get in solving the difficult and complex problems of Physics. Stress has been laid upon mastering the fundamental principles of Physics, rather than specific procedures. The visual appeal of the book together with the materiaJ makes studying physics an enjoyable experience. Our long tenure as physics teachers and interaction with students have helped us immensely in the presentation of this book. Unique features of this book are : • Thoroughly revised and upgraded as per the latest syllabus. • Written in a very simple and easy-to-understand language. • All the topics in the syllabus have been systematically covered in the text by first Introducing the basic concept and then gradually going deeper Into the topic. • Explanations, Illustrations, Diagrams, Experiments and Solutions to Numerical Problems have been Included to make the subject more Interesting, comprehensive and appealing. • To facilitate study, all the Important definitions have been highlighted In Italics and all Important expressions In bold. • Diagrams and illustrations have been drawn keeping simplicity as the main criterion so that they can be easily reproduced by teachers and students. • Important differences have been provided in tabular form. • The Important questions at the end of each unit within a chapter have been given. • Questions have been added chapter-wise under the heading Question Bank for the benefit of students. The solution can be accessed through QR Code given at the end of each chapter. • A Specimen Paper has also been included through QR code, for the benefit of students. • Annual Examination Paper (Solved) has been given through QR code. • Model Test Papers 1 to 5 (Unsolved) have been given through OR code. We are indebted to the teachers and students for sending us their valuable suggestions. Suggestions and constructive criticism for the further improvement of the book would be gratefully acknowledged. -Authors
