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Methods Of The Classical Theory Of Elastodynamics
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Author :Vladimir B. Poruchikov Publisher :Springer Science & Business Media ISBN 13 :3642770991 Total Pages :329 pages Book Rating :4.6/5 (427 download)
Book Synopsis Methods of the Classical Theory of Elastodynamics by : Vladimir B. Poruchikov
Download or read book Methods of the Classical Theory of Elastodynamics written by Vladimir B. Poruchikov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Methods of the Classical Theory of Elastodynamics" deals not only with classical methods as developed in the past decades, but presents also very recent approaches. Applications and solutions to specific problems serve to illustrate the theoretical presentation. Keywords: Smirnov-Sobolev method with further developments; integral transforms; Wiener-Hopf technique; mixed boundary-value problems; time-dependent boundaries; solutions for unisotropic media (Willis method); 3-d dynamical problems for mixed boundary conditions.
Book Synopsis Contact Problems in the Classical Theory of Elasticity by : G.M.L. Gladwell
Download or read book Contact Problems in the Classical Theory of Elasticity written by G.M.L. Gladwell and published by Springer Science & Business Media. This book was released on 1980-06-30 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Theory of Elastic Structures by : Kang Feng
Download or read book Mathematical Theory of Elastic Structures written by Kang Feng and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.
Book Synopsis Micropolar Theory of Elasticity by : Janusz Dyszlewicz
Download or read book Micropolar Theory of Elasticity written by Janusz Dyszlewicz and published by Springer Science & Business Media. This book was released on 2012-11-07 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph "Micropolar Theory of Elasticity" is devoted to the asymmetric theory of elasticity and thermoelasticity, aiming at researchers and postgraduate students in solid mechanics and applied mathematics, as well as mechanical engineers. It offers various new results including the basic field equations, general methods of integration of basic equations, formulations of problems, as well as solutions to particular problems. The presented general solutions cover those of Galerkin, Green-Lamé and Papkovitch-Neuber type, whereas the formulations include the displacement-rotation problems as well as pure stress problems of asymmetric elastodynamics. Solutions to stationary 3D and 2D problems for a half-space, and singular solutions to 3D and 2D asymmetric elastodynamics and the thermoelasto-dynamics problems for an infinite space are given.
Book Synopsis The Mathematical Theory of Elasticity by : Richard B. Hetnarski
Download or read book The Mathematical Theory of Elasticity written by Richard B. Hetnarski and published by CRC Press. This book was released on 2016-04-19 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through its inclusion of specific applications, The Mathematical Theory of Elasticity, Second Edition continues to provide a bridge between the theory and applications of elasticity. It presents classical as well as more recent results, including those obtained by the authors and their colleagues. Revised and improved, this edition incorporates add
Book Synopsis Reciprocity in Elastodynamics by : J. D. Achenbach
Download or read book Reciprocity in Elastodynamics written by J. D. Achenbach and published by Cambridge University Press. This book was released on 2003 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important monograph by international authority who presents new methods/applications of a classical technique in elasticity.
Book Synopsis Mathematical Methods of Classical Mechanics by : V. I. Arnold
Download or read book Mathematical Methods of Classical Mechanics written by V. I. Arnold and published by Springer. This book was released on 1978 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many different mathematical methods and concepts are used in classical mechanics: differential equations and phase ftows, smooth mappings and manifolds, Lie groups and Lie algebras, symplectic geometry and ergodic theory. Many modern mathematical theories arose from problems in mechanics and only later acquired that axiomatic-abstract form which makes them so hard to study. In this book we construct the mathematical apparatus of classical mechanics from the very beginning; thus, the reader is not assumed to have any previous knowledge beyond standard courses in analysis (differential and integral calculus, differential equations), geometry (vector spaces, vectors) and linear algebra (linear operators, quadratic forms). With the help of this apparatus, we examine all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the hamiltonian formalism. The author has tried to show the geometric, qualitative aspect of phenomena. In this respect the book is closer to courses in theoretical mechanics for theoretical physicists than to traditional courses in theoretical mechanics as taught by mathematicians.
Book Synopsis Theory of Elasticity by : A.I. Lurie
Download or read book Theory of Elasticity written by A.I. Lurie and published by Springer Science & Business Media. This book was released on 2010-05-30 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theory of elasticity maintains a place of honour in the science ofthe behaviour ofsolids. Its basic definitions are general for all branches of this science, whilst the methods forstating and solving these problems serve as examples of its application. The theories of plasticity, creep, viscoelas ticity, and failure of solids do not adequately encompass the significance of the methods of the theory of elasticity for substantiating approaches for the calculation of stresses in structures and machines. These approaches constitute essential contributions in the sciences of material resistance and structural mechanics. The first two chapters form Part I of this book and are devoted to the basic definitions ofcontinuum mechanics; namely stress tensors (Chapter 1) and strain tensors (Chapter 2). The necessity to distinguish between initial and actual states in the nonlinear theory does not allow one to be content with considering a single strain measure. For this reason, it is expedient to introduce more rigorous tensors to describe the stress-strain state. These are considered in Section 1.3 for which the study of Sections 2.3-2.5 should precede. The mastering of the content of these sections can be postponed until the nonlinear theory is studied in Chapters 8 and 9.
Book Synopsis Thermoelasticity with Finite Wave Speeds by : Józef Ignaczak
Download or read book Thermoelasticity with Finite Wave Speeds written by Józef Ignaczak and published by Oxford University Press. This book was released on 2010 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique monograph in a fast developing field of generalized thermoelasticity, an area of active research in continuum mechanics, focusing on thermoelasticity governed by hyperbolic equations, rather than on a wide range of continuum theories.
Book Synopsis Fundamental Solutions in Elastodynamics by : Eduardo Kausel
Download or read book Fundamental Solutions in Elastodynamics written by Eduardo Kausel and published by Cambridge University Press. This book was released on 2006-02-13 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is a compilation of fundamental solutions (or Green's functions) for classical or canonical problems in elastodynamics presented with a common format and notation. These formulas describe the displacements and stresses elicited by dynamic sources in solid elastic media like full spaces, half-spaces, strata and plates in both two and three dimensions, using the three major coordinate systems (Cartesian, cylindrical and spherical), and also for transient and harmonic motions. Such formulas are useful for numerical methods and practical application to problems of wave propagation in elasticity, soil dynamics, earthquake engineering, mechanical vibration, or geophysics. These formulas were heretofore only found scattered throughout the literature. The solutions are tabulated without proof, but giving reference to appropriate modern papers and books containing full derivations. Most formulas in the book have been programmed and tested within the MATLAB environment. The program listings are available for free download on the book's website.
Book Synopsis Wave Propagation in Elastic Solids by : J. D. Achenbach
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.
Book Synopsis Wave Propagation in Elastic Solids by : Jan Achenbach
Download or read book Wave Propagation in Elastic Solids written by Jan Achenbach and published by Elsevier. This book was released on 2012-12-02 with total page 440 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.
Book Synopsis Boundary Elements and Other Mesh Reduction Methods XXXIII by : C. A. Brebbia
Download or read book Boundary Elements and Other Mesh Reduction Methods XXXIII written by C. A. Brebbia and published by WIT Press. This book was released on 2011 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wessex Institute of Technology has been convening conferences on the Boundary Element Method since 1978. The now-annual conference series is recognised internationally as the premiere forum for sharing the latest advances on the boundary element method and other meshless techniques and their applications, which continue to evolve and grow in importance. The papers presented at the latest conference will cover topics such as Advanced meshless and mesh reduction methods; Heat and mass transfer; Electrical engineering and electromagnetics; Fluid flow; Advanced formulations; Computational techniques; Advanced structural applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Financial engineering applications; Stochastic modelling; and Emerging applications..
Book Synopsis Treatise on Classical Elasticity by : Petre P. Teodorescu
Download or read book Treatise on Classical Elasticity written by Petre P. Teodorescu and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 805 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of computation. One of the simplest mathematical models and, at the same time, the most used model, is that of the elastic body – especially the linear one. But, notwithstanding its simplicity, even this model of a real body may lead to great difficulties of computation. The practical importance of a work about the theory of elasticity, which is also an introduction to the mechanics of deformable solids, consists of the use of scientific methods of computation in a domain in which simplified methods are still used. This treatise takes into account the consideration made above, with special attention to the theoretical study of the state of strain and stress of a deformable solid. The book draws on the known specialized literature, as well as the original results of the author and his 50+ years experience as Professor of Mechanics and Elasticity at the University of Bucharest. The construction of mathematical models is made by treating geometry and kinematics of deformation, mechanics of stresses and constitutive laws. Elastic, plastic and viscous properties are thus put in evidence and the corresponding theories are developed. Space problems are treated and various particular cases are taken into consideration. New solutions for boundary value problems of finite and infinite domains are given and a general theory of concentrated loads is built. Anisotropic and non-homogeneous bodies are studied as well. Cosserat type bodies are also modeled. The connection with thermal and viscous phenomena will be considered too. Audience: researchers in applied mathematics, mechanical and civil engineering.
Book Synopsis Achievements, History and Challenges in Geophysics by : Robert Bialik
Download or read book Achievements, History and Challenges in Geophysics written by Robert Bialik and published by Springer. This book was released on 2014-07-14 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last six decades, the field of geophysics has experienced rapid development. Seismic methods, magnetic studies, hydrology and atmospheric sciences have expanded thanks to a boom in the computer sciences and measurement techniques. The frontiers of geophysics have also expanded, now including research on the polar areas, both Arctic and Antarctic. All these events are clearly reflected in the 60-year-long history of the Institute of Geophysics, Polish Academy of Sciences. This volume describes the most prominent achievements, the history of research and also the future potential of the Institute of Geophysics PAS. It describes measurements in various projects, methods of interpreting scientific data, and last but not least the people who have driven this research in many scientific projects.
Book Synopsis Topics in Boundary Element Research by : Carlos A. Brebbia
Download or read book Topics in Boundary Element Research written by Carlos A. Brebbia and published by Springer. This book was released on 2013-12-19 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series has been developed in response to the interest shown in boundary ele ments by scientists and engineers. Whilst Volume I was dedicated to basic principles and applications, this book is concerned with the state of the art in the solution of time-dependent problems. Since papers have recently been published on this im portant topic it is time to produce a work ofa morepermanent nature. The volume begins with a chapter on the Fundamentals of Boundary Integral Equation Methods in Elastodynamics. After reviewing the basic equations of elasto dynamics, the wave equation and dynamic reciprocal theorems are stated and the direct and indirect boundary element formulations are presented. Eigenvalue problems are discussed together with the case of the Fourier transformations. Several applications illustrate the etfectiveness ofthe technique for engineering. Chapter 2 examines some ofthe various boundary integral equation formulations available for elastodynamic problems. In particular the displacement-traction for mulation is compared with the displacement-potential case. The special character istics ofthe elastodynamics fundamental solutions are discussed in detail and a criti cal comparison with the elastostatics case is presented. While the chapter is not meant to be a complete review of the work in the field, the original presentation of the problern and the suggestions for further work make an important contribu tion to the development ofthe method.
Book Synopsis Dynamics of Lattice Materials by : A. Srikantha Phani
Download or read book Dynamics of Lattice Materials written by A. Srikantha Phani and published by John Wiley & Sons. This book was released on 2017-09-25 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a comprehensive introduction to the dynamic response of lattice materials, covering the fundamental theory and applications in engineering practice Offers comprehensive treatment of dynamics of lattice materials and periodic materials in general, including phononic crystals and elastic metamaterials Provides an in depth introduction to elastostatics and elastodynamics of lattice materials Covers advanced topics such as damping, nonlinearity, instability, impact and nanoscale systems Introduces contemporary concepts including pentamodes, local resonance and inertial amplification Includes chapters on fast computation and design optimization tools Topics are introduced using simple systems and generalized to more complex structures with a focus on dispersion characteristics
