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Mechanics Of Non Homogeneous And Anisotropic Foundations
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Book Synopsis Mechanics of Non-Homogeneous and Anisotropic Foundations by : B. Grigori Muravskii
Download or read book Mechanics of Non-Homogeneous and Anisotropic Foundations written by B. Grigori Muravskii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although realistic soil and rock foundations reveal noticeable deviations in their properties from homogeneity and isotropy, the model of the homogeneous isotropie elastic half-space is widely used when studying static and dynamie interactions between a defonnable foundation and structures. This is explained by significant mathematieal difficulties inherent in problems conceming mechanies of anisotropie and heterogeneous elastic bodies. Solving the basic static and dynamie problems for heterogeneous and anisotropic half-spaces, such as different contact problems and problems of constructing Green's functions, has become possible in the last few decades due to the development of computer engineering techniques and numerical methods. This book contains the results of investigations in the area of statics and dynamies of heterogeneous and anisotropic foundations, carried out by the author in the last five years while working in the Faculty of Civil Engineering at Technion - Israel Institute of Technology. The book is directed at engineers and scientists in the areas of soil mechanics, soil-structures interaction, seismology and geophysics. Some characteristic features of the book are: i) Constructing (Chap.l) solutions in a general fonn for the heterogeneous (in the depth direction) transversely isotropic elastic half-space subjected to different loadings, hannonic in time. Characteristics of the given half-space have an influence on functions (of depth z and parameter k of Hankel's transfonns), which are detennined from a system of ordinary differential equations.
Book Synopsis Mechanics of Non-homogenous and Anisotropic Foundations by : B. Grigori Muravskii
Download or read book Mechanics of Non-homogenous and Anisotropic Foundations written by B. Grigori Muravskii and published by Springer Verlag. This book was released on 2001-01-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains new results in the area of statics and dynamics of heterogeneous and anisotropic foundations. The book is directed at engineers and scientists in the area of soil mechanics, soil-structures interaction, seismology and geophysics. Some characteristic features of the book are the construction of general solutions of harmonic vibrations in the transversely isotropic half-space and the presentation of new analytic solutions relating to the homogeneous transversely isotropic elastic half-space subjected to the action of external forces or for half-spaces with stiffness varying exponentially with depth. Numerical-analytical methods for the considered problems of static and dynamic interactions between a deformable foundation and structures are presented as well. The book also presents a large number of computational results which give a clear picture of the behavior of the presented rock and soil foundation systems.
Book Synopsis The Direct Integration Method for Elastic Analysis of Nonhomogeneous Solids by : Yuriy Tokovyy
Download or read book The Direct Integration Method for Elastic Analysis of Nonhomogeneous Solids written by Yuriy Tokovyy and published by Cambridge Scholars Publishing. This book was released on 2021-02-01 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The direct integration method (a general approach to analysis for boundary value problems of mathematical physics with no implications for the potential functions of higher differential order) is presented in this book as a potential tool for the analysis of the elastic response of arbitrarily nonhomogeneous solids to thermal and force loadings. This method rests upon the correct integration of the local equilibrium equations, which results in an explicit relationship between the stress-tensor components and fundamental integral conditions of equilibrium for individual stresses, which can serve to assure the correctness of the solution and provide a simple verification of computational results. Making use of these relationships and conditions, which are irrespective of the material properties, allows for the reduction of the original elasticity and thermoelasticity problems for nonhomogeneous materials to integral equations of a second kind which implies the solution in a closed form. This feature makes the method efficient for the analysis of arbitrarily nonhomogeneous materials, among which the functionally graded materials are of particular interest for both academia and industry.
Book Synopsis Dynamics of Synchronising Systems by : R.F. Nagaev
Download or read book Dynamics of Synchronising Systems written by R.F. Nagaev and published by Springer Science & Business Media. This book was released on 2003-01-31 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a rational scheme of analysis for the periodic and quasi-periodic solution of a broad class of problems within technical and celestial mechanics. It develops steps for the determination of sufficiently general averaged equations of motion, which have a clear physical interpretation and are valid for a broad class of weak-interaction problems in mechanics. The criteria of stability regarding stationary solutions of these equations are derived explicitly and correspond to the extremum of a special "potential" function. Much consideration is given to applications in vibrational technology, electrical engineering and quantum mechanics, and a number of results are presented that are immediately useful in engineering practice. The book is intended for mechanical engineers, physicists, as well as applied mathematicians specializing in the field of ordinary differential equations.
Book Synopsis Analytical Methods in Anisotropic Elasticity by : Omri Rand
Download or read book Analytical Methods in Anisotropic Elasticity written by Omri Rand and published by Springer Science & Business Media. This book was released on 2007-12-25 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Comprehensive textbook/reference applies mathematical methods and modern symbolic computational tools to anisotropic elasticity * Presents unified approach to a vast diversity of structural models * State-of-the-art solutions are provided for a wide range of composite material configurations, including: 3-D anisotropic bodies, 2-D anisotropic plates, laminated and thin-walled structures
Book Synopsis Mechanics of Periodically Heterogeneous Structures by : L.I. Manevitch
Download or read book Mechanics of Periodically Heterogeneous Structures written by L.I. Manevitch and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rigorous presentation of Mathematical Homogenization Theory is the subject of numerous publications. This book, however, is intended to fill the gap in the analytical and numerical performance of the corresponding asymptotic analysis of the static and dynamic behaviors of heterogenous systems. Numerous concrete applications to composite media, heterogeneous plates and shells are considered. A lot of details, numerical results for cell problem solutions, calculations of high-order terms of asymptotic expansions, boundary layer analysis etc., are included.
Book Synopsis THEORY OF ELASTICITY AND FRACTURE MECHANICS by : UKADGAONKER, VIJAY G.
Download or read book THEORY OF ELASTICITY AND FRACTURE MECHANICS written by UKADGAONKER, VIJAY G. and published by PHI Learning Pvt. Ltd.. This book was released on 2015-09-27 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily intended for the postgraduate students of mechanical, civil and other engineering branches, this book covers both theory of elasticity and fracture mechanics in a single volume. It provides the essential fundamental knowledge of the subject matter with solutions that are required in engineering practice and design. Besides, it also teaches students to apply the methods of theory of elasticity in technical calculations on the basis of illustrative examples. The book includes the latest researches done by the author at Indian Institute of Technology Bombay. It covers problems in two-dimensional elasticity, complex variable approach to two-dimensional elasticity, anisotropic elasticity and interaction effect of problems with two holes using Swartz alternating method. The number of problems given as exercise at the end of the chapter will help the students to reinforce the understanding of the subject. Key features • Discusses the subject in an easy to understand manner • Highlights the new theory (Ip Theory) for fracture initiation • Covers stress analysis of fracture and macroscopic theories of fracture • Contains the methods to formulate and solve problems of solid mechanics using Finite Element Method
Book Synopsis Models and Phenomena in Fracture Mechanics by : Leonid I. Slepyan
Download or read book Models and Phenomena in Fracture Mechanics written by Leonid I. Slepyan and published by Springer Science & Business Media. This book was released on 2012-11-07 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the most important results, methods, and open questions, this book describes and compares advanced models in fracture mechanics. The author introduces the required mathematical technique, mainly the theory of analytical functions, from scratch.
Book Synopsis Dynamics of Mechanical Systems with Coulomb Friction by : Le Xuan Anh
Download or read book Dynamics of Mechanical Systems with Coulomb Friction written by Le Xuan Anh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the general theory of motion of mechanical systems with Coulomb friction. In particular, the book focuses on the following specific problems: derivation of the equations of motion, Painleve's paradoxes, tangential impact and dynamic seizure, and frictional self-excited oscillations. In addition to the theoretical results, the book contains a detailed description of experiments that show that, in general, the friction force at the instant of transition to motion is determined by the rate of tangential load and does not depend on the duration of the previous contact. These results are used to develop the theory of frictional self-excited oscillations. A number of industrially relevant mechanisms are considered, including the Painleve-Klein scheme, epicyclic mechanisms, crank mechanisms, gear transmission, the link mechanism of a planing machine, and the slider of metal-cutting machine tools. The book is intended for researchers, engineers and students in mechanical engineering.
Book Synopsis Mathematical Models in Natural Science and Engineering by : Juri I. Neimark
Download or read book Mathematical Models in Natural Science and Engineering written by Juri I. Neimark and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has come into being as a result ofthe author's lectures on mathematical modelling rendered to the students, BS and MS degree holders specializing in applied mathematics and computer science and to post-graduate students in exact sciences of the Nizhny Novgorod State University after N.!. Lobatchevsky. These lectures are adapted and presented as a single whole ab out mathematical models and modelling. This new course of lectures appeared because the contemporary Russian educational system in applied mathematics rested upon a combination of fundamental and applied mathematics training; this way of training oriented students upon solving only the exactly stated mathematical problems, and thus there was created a certain estrangement to the most essential stages and sides of real solutions for applied problems, such as thinking over and deeply piercing the essence of a specific problem and its mathematical statement. This statement embraces simplifications, adopted idealizations and creating a mathematical model, its correction and matching the results obtained against a real system. There also existed another main objective, namely to orient university graduates in their future research not only upon purely mathematical issues but also upon comprehending and widely applying mathematics as a universal language of contemporary exact science, and mathematical modelling as a powerful me ans for studying nature, engineering and human society.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Structural Analysis by : Anatoly Perelmuter
Download or read book Numerical Structural Analysis written by Anatoly Perelmuter and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: To our sons, Mike, Andrew, Alex, who did not inherit their fathers' level of interest in applied mechanics, but who became sophisticated in software development and in this regard surpassed their parents. A.P., V.S. Hard times came, the god5 got angry. Children do not behave themselves and everybody wishes to write a book. Ancient Babylonian inscription X Preface Preface to the English Edition The book you are reading is a translation from Russian into English. Within a pretty short term this book saw two editions in Russian. The authors received in spiring responses from readers that both stimulated our continuing and improving this work and made sure it would not be in vain of us to try to multiply our readers by covering the English-speaking engineering community. When we prepared the present edition, we took into account interests of the Western readers, so we had to make some changes to our text published earlier. These changes include the following aspects. First, we excluded a lot of references and discussions regarding Russian engi neering codes. It seems to us those are of no real interest for Western engineers oriented at Eurocode or national construction design regulations.
Book Synopsis Elastic Analysis of Soil-Foundation Interaction by : A.P.S. Selvadurai
Download or read book Elastic Analysis of Soil-Foundation Interaction written by A.P.S. Selvadurai and published by Elsevier. This book was released on 2013-10-22 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments in Geotechnical Engineering, Vol. 17: Elastic Analysis of Soil-Foundation Interaction focuses on the analysis of the interaction between structural foundations and supporting soil media. The publication first elaborates on soil-foundation interaction problems; idealized soil response models for the analysis of soil-foundation interaction; and plane-strain analysis of an infinite plate and an infinitely long beam. Discussions focus on three-dimensional effects in the infinite beam problem, elastic models of soil behavior, foundation and interface behavior, and elastic-plastic and time-dependent behavior of soil masses. The manuscript then ponders on the analysis of beams of finite length, axisymmetric three-dimensional problem of an infinite plate, and analysis of finite plates. Concerns cover axisymmetric loading of a circular plate, analysis of rectangular plates, axisymmetric three-dimensional problem of the infinite plate, modifications of the thin plate theory, finite beams on a two-parameter elastic medium, and finite beams on an elastic solid medium. The book tackles the determination of soil parameters, experimental investigations and field studies, as well as experimental investigations and field studies and measurement and interpretation of parameters encountered in the idealized soil models in relation to soil-foundation behavior. The publication is a valuable reference for researchers interested in the elastic analysis of soil-foundation interaction.
Book Synopsis Foundation Engineering Handbook by : Hsai-Yang Fang
Download or read book Foundation Engineering Handbook written by Hsai-Yang Fang and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 935 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than ten years have passed since the first edition was published. During that period there have been a substantial number of changes in geotechnical engineering, especially in the applications of foundation engineering. As the world population increases, more land is needed and many soil deposits previously deemed unsuitable for residential housing or other construction projects are now being used. Such areas include problematic soil regions, mining subsidence areas, and sanitary landfills. To overcome the problems associated with these natural or man-made soil deposits, new and improved methods of analysis, design, and implementation are needed in foundation construction. As society develops and living standards rise, tall buildings, transportation facilities, and industrial complexes are increasingly being built. Because of the heavy design loads and the complicated environments, the traditional design concepts, construction materials, methods, and equipment also need improvement. Further, recent energy and material shortages have caused additional burdens on the engineering profession and brought about the need to seek alternative or cost-saving methods for foundation design and construction.
Book Synopsis Acoustic Control of Turbulent Jets by : A.S. Ginevsky
Download or read book Acoustic Control of Turbulent Jets written by A.S. Ginevsky and published by Springer Science & Business Media. This book was released on 2004-01-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents recent results of experimental research relating to control of aerodynamic and acoustic characteristics of subsonic and supersonic turbulent jets by acoustic excitation of different intensity and frequency. Coherent structures in subsonic turbulent jets and their sensibility to harmonic acoustic excitation are studied, as well as the generation and suppression of turbulence in subsonic jets under acoustic excitation. The book covers active and passive methods of controlling supersonic non-isobaric jet characteristics and, in particular, suppression of discrete components of aerodynamic jet noise. Numerical simulation methods of subsonic turbulent jets are analyzed. Examples of practical realization of the presented methods are given in application to jet noise reduction of turbojet engines and to auto-oscillation suppression in wind tunnels with open test section.
Book Synopsis The Wave Finite Element Method by : Boris F. Shorr
Download or read book The Wave Finite Element Method written by Boris F. Shorr and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational mechanics, as a science employed for the numerical model ing of processes in nature and engineering, has over the last few decades developed two strands. The first concerns the putting of more and more powerful software packages into computational practice, using increas ingly high-performance computers with increasingly large memory. The traditional finite element and finite difference approaches are still preva lent. Over the years however, researchers have met with new problems; their solutions on the basis of traditional methods are at best difficult and at worst impossible to obtain. Such problems provided a powerful impetus in the development of the second strand, resulting in the development of es sentially new approaches for numerical modeling, for example meshless methods, "molecular" dynamics, neuron networks. The current state of the art formed the basis of many papers presented at the Fifth World Congress on Computational Mechanics, Vienna 2002. It is within the framework of the second strand that this book has been written.
Book Synopsis Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements by : George D. Manolis
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.
