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Author :
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (924 download)
Download or read book On Computational Wave Propagation in Solids written by and published by . This book was released on 2000 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. D. Achenbach
Publisher : Elsevier
ISBN 13 : 1483163733
Total Pages : 440 pages
Book Rating : 4.4/5 (831 download)
Download or read book Wave Propagation in Elastic Solids written by J. D. Achenbach and published by Elsevier. This book was released on 2016-01-21 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Propagation in Elastic Solids focuses on linearized theory and perfectly elastic media. This book discusses the one-dimensional motion of an elastic continuum; linearized theory of elasticity; elastodynamic theory; and elastic waves in an unbounded medium. The plane harmonic waves in elastic half-spaces; harmonic waves in waveguides; and forced motions of a half-space are also elaborated. This text likewise covers the transient waves in layers and rods; diffraction of waves by a slit; and thermal and viscoelastic effects, and effects of anisotropy and nonlinearity. Other topics include the summary of equations in rectangular coordinates, time-harmonic plane waves, approximate theories for rods, and transient in-plane motion of a layer. This publication is a good source for students and researchers conducting work on the wave propagation in elastic solids.
Author : Martin Schanz
Publisher : Springer Science & Business Media
ISBN 13 : 3540445757
Total Pages : 176 pages
Book Rating : 4.5/5 (44 download)
Download or read book Wave Propagation in Viscoelastic and Poroelastic Continua written by Martin Schanz and published by Springer Science & Business Media. This book was released on 2012-11-27 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.
Author : Ch Zhang
Publisher : Computational Mechanics
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Wave Propagation in Elastic Solids with Cracks written by Ch Zhang and published by Computational Mechanics. This book was released on 1998 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Begins with both a non-hypersingular time-domain traction boundary integral equation formulation for transient elastodynamic crack analysis and a time-stepping scheme for solving the boundary integral equations. The scheme is applied to analyze three-dimensional rectangular and penny-shaped cracks, and to investigate pulse shape effects on the dynamic stress intensity factor. The corresponding frequency-domain boundary integral equation is given, and time- harmonic wave propagation in randomly cracked solids is treated. The second half of the book deals with the elastodynamic analysis of a periodic array of cracks in plane strain and of anti-plane interface cracks between two different materials, and the effect of the material anistrophy on the near-tip quantities, the scattered far-field, and wave attenuation and dispersion. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Julian L. Davis
Publisher : Springer Science & Business Media
ISBN 13 : 1461238862
Total Pages : 396 pages
Book Rating : 4.4/5 (612 download)
Download or read book Wave Propagation in Solids and Fluids written by Julian L. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how these mathematical concepts can be effective in unifying the physics of wave propagation in a variety of physical settings: sound and shock waves in gases, water waves, and stress waves in solids. Nonlinear effects and asymptotic phenomena will be discussed. Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. These conservation laws are expressed either in the Lagrangian or the Eulerian representation depending on whether the boundaries are relatively fixed or moving. In any case, these laws of physics allow us to derive the "field equations" which are expressed as systems of partial differential equations. For wave propagation phenomena these equations are said to be "hyperbolic" and, in general, nonlinear in the sense of being "quasi linear" . We therefore attempt to determine the properties of a system of "quasi linear hyperbolic" partial differential equations which will allow us to calculate the displacement, velocity fields, etc.
Author : J. D. Achenbach
Publisher : North-Holland
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.F/5 ( download)
Download or read book Wave Propagation in Elastic Solids written by J. D. Achenbach and published by North-Holland. This book was released on 1973 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation in elastic solids. The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.
Author : Julius Miklowitz
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.3/5 (91 download)
Download or read book Wave Propagation in Solids written by Julius Miklowitz and published by . This book was released on 1969 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Moche Ziv
Publisher :
ISBN 13 :
Total Pages : 67 pages
Book Rating : 4.:/5 (227 download)
Download or read book Multi-Dimensional Wave Propagation in Solids Due to Impact Loading by the Method of Characteristics. Case 1. Computational Method for Two-Dimensional Waves in a Linear Elastic Solid written by Moche Ziv and published by . This book was released on 1973 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: A computational method is presented for the solution of multi-dimensional hyperbolic partial differential equations governing the dynamic deformation of solids. The method is based on characteristics formulation of the hyperbolic differential equations. Thus generated waves are located in the medium and the differential equations holding along these waves are obtained. The algorithm consists of a new method which evaluates the unknown variables along the leading wave and then couples the first generator to the motion behind it. The unknowns along the leading wave are resolved by means of kinematic and dynamic conditions existing across this wave. The entire multi-dimensional solution domain is then linked to the leading wave by the method of characteristics. The mathematical avenues used to develop this computational method are potentially capable of solving multi-dimensional wave problems in various types of solids. As a first step in the report, the described technique is confined to field equations defining the deformation of a linear elastic solid in two-space and time independent variables. (Author).
Author : M. Ziv
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (837 download)
Download or read book Multi-dimensional Wave Propagation in Solids Due to Impact Loading by the Method of Characteristics written by M. Ziv and published by . This book was released on 1973 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. S. Drumheller
Publisher : Cambridge University Press
ISBN 13 : 9780521587464
Total Pages : 546 pages
Book Rating : 4.5/5 (874 download)
Download or read book Introduction to Wave Propagation in Nonlinear Fluids and Solids written by D. S. Drumheller and published by Cambridge University Press. This book was released on 1998-02-13 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves occur widely in nature and have innumerable commercial uses. Pressure waves are responsible for the transmission of speech, bow waves created by meteors can virtually ignite the earth's atmosphere, ultrasonic waves are used for medical imaging, and shock waves are used for the synthesis of new materials. This book provides a thorough, modern introduction to the study of linear and nonlinear waves. Beginning with fundamental concepts of motion, the book goes on to discuss linear and nonlinear mechanical waves, thermodynamics, and constitutive models. It covers gases, liquids, and solids as integral parts of the subject. Among the important areas of research and application are impact analysis, shock wave research, explosive detonation, nonlinear acoustics, and hypersonic aerodynamics. Graduate students, as well as professional engineers and applied physicists, will value this clear, comprehensive introduction to the study of wave phenomena.
Author : George D. Manolis
Publisher : Springer
ISBN 13 : 3319452061
Total Pages : 301 pages
Book Rating : 4.3/5 (194 download)
Download or read book Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements written by George D. Manolis and published by Springer. This book was released on 2016-09-23 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the mathematical potential and computational efficiency of the Boundary Element Method (BEM) for modeling seismic wave propagation in either continuous or discrete inhomogeneous elastic/viscoelastic, isotropic/anisotropic media containing multiple cavities, cracks, inclusions and surface topography. BEM models may take into account the entire seismic wave path from the seismic source through the geological deposits all the way up to the local site under consideration. The general presentation of the theoretical basis of elastodynamics for inhomogeneous and heterogeneous continua in the first part is followed by the analytical derivation of fundamental solutions and Green's functions for the governing field equations by the usage of Fourier and Radon transforms. The numerical implementation of the BEM is for antiplane in the second part as well as for plane strain boundary value problems in the third part. Verification studies and parametric analysis appear throughout the book, as do both recent references and seminal ones from the past. Since the background of the authors is in solid mechanics and mathematical physics, the presented BEM formulations are valid for many areas such as civil engineering, geophysics, material science and all others concerning elastic wave propagation through inhomogeneous and heterogeneous media. The material presented in this book is suitable for self-study. The book is written at a level suitable for advanced undergraduates or beginning graduate students in solid mechanics, computational mechanics and fracture mechanics.
Author : Richard J. Wasley
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.3/5 (97 download)
Download or read book Stress Wave Propagation in Solids written by Richard J. Wasley and published by . This book was released on 1973 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Hansbo
Publisher :
ISBN 13 : 9781785480119
Total Pages : 0 pages
Book Rating : 4.4/5 (81 download)
Download or read book Computational Mechanics written by Peter Hansbo and published by . This book was released on 2025 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Mechanics: Continuous and Discrete Models for Solids, Fluids and Structures offers a unified presentation of continuum mechanical models and their discrete counterparts, giving a deeper understanding of the relationship that exists between the main numerical methods, finite element methods, and finite volume methods, also presenting the advantages and shortcomings of each. This book shows, with the use of MATLAB code snippets, how to implement the methods described for all types of different problems, including linear and nonlinear, stationary and time dependent, and solids and fluids, all presented for the typical common finite element, finite volume, and time stepping methods. Contains derivation of continuous models and discrete models in a unified, mixed engineering/mathematical manner Presents numerical methods and their implementation in MATLAB Explores finite element methods, discontinuous finite element methods, and finite volume methods within the same framework
Author : Gerard A Maugin
Publisher : World Scientific
ISBN 13 : 9814470481
Total Pages : 236 pages
Book Rating : 4.8/5 (144 download)
Download or read book Numerical Simulation Of Waves And Fronts In Inhomogeneous Solids written by Gerard A Maugin and published by World Scientific. This book was released on 2008-06-13 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows the advanced methods of numerical simulation of waves and fronts propagation in inhomogeneous solids and introduces related important ideas associated with the application of numerical methods for these problems. Great care has been taken throughout the book to seek a balance between the thermomechanical analysis and numerical techniques. It is suitable for advanced undergraduate and graduate courses in continuum mechanics and engineering. Necessary prerequisites for this text are basic continuum mechanics and thermodynamics. Some elementary knowledge of numerical methods for partial differential equations is also preferable.
Author : Karl F. Graff
Publisher : Courier Corporation
ISBN 13 : 0486139573
Total Pages : 690 pages
Book Rating : 4.4/5 (861 download)
Download or read book Wave Motion in Elastic Solids written by Karl F. Graff and published by Courier Corporation. This book was released on 2012-04-26 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained coverage of topics ranging from elementary theory of waves and vibrations in strings to three-dimensional theory of waves in thick plates. Over 100 problems.
Author : L. D. Bertholf
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (243 download)
Download or read book Computational Methods for Stress Wave Propagation in Nonlinear Solid Mechanics written by L. D. Bertholf and published by . This book was released on 1974* with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. Dieulesaint
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.:/5 (319 download)
Download or read book Elastic Waves in Solids written by E. Dieulesaint and published by John Wiley & Sons. This book was released on 1980 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
