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Books in Mechanics elasticity rheology

Matrix Computer Methods of Vibration Analysis
1st Edition
May 20, 2014
D. J. Hatter
English
Matrix Computer Methods of Vibration Analysis is an eight-chapter introductory text to a particular technique that combines vibration analysis, matrix algebra, and computational methods. This book is emerged from a series of lectures presented at the North-East London Polytechnic. Chapters 1 and 2 introduce the basic concepts of matrix algebra, followed by a discussion on the facilities and methods of use of the computer in Chapter 3. Chapter 4 deals with the synthesis and manipulation of the system matrix for a vibrating system consisting of a number of lumped parameters, each of these being either a point mass or a massless spring. Chapter 5 describes the concept of separate matrices for the stiffnesses and masses of beams or shafts, while Chapter 6 evaluate the systems subjected to forced vibration due to varying frequencies of excitation and damping. Chapters 7 considers the different types of element that can be encountered in the analysis of a shaft or beam for natural frequencies, with an emphasis on the algorithm for dealing with massless shaft elements and point masses. Chapter 8 covers the analysis and computational requirements of torsional vibration. This work is an invaluable source for mathematicians and computer programmers and researchers.
Mechanics of Composite Materials
A Unified Micromechanical Approach
1st Edition
Volume 29
October 22, 2013
Jacob Aboudi
English
In the last decade the author has been engaged in developing a micromechanical composite model based on the study of interacting periodic cells. In this two-phase model, the inclusion is assumed to occupy a single cell whereas the matrix material occupies several surrounding cells. A prominent feature of the micromechanical method of cells is the transition from a medium, with a periodic microstructure to an equivalent homogeneous continuum which effectively represents the composite material. Of great importance is the significant advantage of the cells model in its capability to analyze elastic as well as nonelastic constituents (e.g. viscoelastic, elastoplastic and nonlinear elastic), thus forming a unified approach in the prediction of the overall behaviour of composite material. This book deals almost exclusively with this unified theory and its various applications.
Rheology V2
Theory and Applications
1st Edition
December 2, 2012
Frederick Eirich
English
Rheology: Theory and Applications, Volume II deals with the specific rheological subjects, such as deformational behavior in relation to the classic subjects and topics of rheology. This volume is divided into 13 chapters. Considerable chapters are devoted to the theory and aspects of viscoelastic and relaxation phenomena, as well as the applied theory concerning substances related to these phenomena, including elastomers, gelatins, and fibers. Other chapters cover the general principles of geological deformations derived from the study of less ""immobile"" objects. The remaining chapters present the methods and instrumentation in rheology. Researchers, teachers, and students who are interested in deformational behavior of materials will find this book invaluable.
Three-Dimensional Problems of Elasticity and Thermoelasticity
1st Edition
Volume 25
December 2, 2012
V.D. Kupradze
English
North-Holland Series in Applied Mathematics and Mechanics, Volume 25: Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity focuses on the theory of three-dimensional problems, including oscillation theory, boundary value problems, and integral equations. The publication first tackles basic concepts and axiomatization and basic singular solutions. Discussions focus on fundamental solutions of thermoelasticity, fundamental solutions of the couple-stress theory, strain energy and Hooke’s law in the couple-stress theory, and basic equations in terms of stress components. The manuscript then examines uniqueness theorems and singular integrals and integral equations. The book ponders on the potential theory and boundary value problems of elastic equilibrium and steady elastic oscillations. Topics include basic theorems of the oscillation theory, existence of solutions of boundary value problems, integral equations of the boundary value problems, and boundary properties of potential-type integrals. The publication also reviews mixed dynamic problems, couple-stress elasticity, and boundary value problems for media bounded by several surfaces. The text is a dependable source of data for mathematicians and readers interested in three-dimensional problems of the mathematical theory of elasticity and thermoelasticity.
Non-Linear Theory of Elasticity and Optimal Design
1st Edition
November 12, 2003
L.W. Ratner
English
In order to select an optimal structure among possible similar structures, one needs to compare the elastic behavior of the structures. A new criterion that describes elastic behavior is the rate of change of deformation. Using this criterion, the safe dimensions of a structure that are required by the stress distributed in a structure can be calculated. The new non-linear theory of elasticity allows one to determine the actual individual limit of elasticity/failure of a structure using a simple non-destructive method of measurement of deformation on the model of a structure while presently it can be done only with a destructive test for each structure. For building and explaining the theory, a new logical structure was introduced as the basis of the theory. One of the important physical implications of this logic is that it describes mathematically the universal domain of the possible stable physical relations.
Generalized Multipole Techniques for Electromagnetic and Light Scattering
1st Edition
Volume 4
December 1, 1999
T. Wriedt
English
This book is an edited volume of nine papers covering the different variants of the generalized multipole techniques (GMT). The papers were presented at the recent 3rd Workshop on Electromagnetics and Light Scattering - Theory and Applications, which focused on current GMT methods. These include the multiple multipole method (MMP), the discrete sources method (DSM), Yasuura's method, method of auxiliary sources and null-field method with discrete sources. Each paper presents a full theoretical description as well as some applications of the method in electrical engineering and optics. It also includes both 2D and 3D methods and other applications developed in the former Soviet Union and Japan.
Micromechanics: Overall Properties of Heterogeneous Materials
2nd Edition
December 24, 1998
S. Nemat-Nasser + 1 more
English
In this second edition several new topics of technological interest have been added. These include: coupled mechanical and nonmechanical overall properties of heterogeneous piezoelectric materials, new upper and lower bounds for these coupled properties, a systematic comparison between the average-field theory and the results obtained using multi-scale perturbation theory, an account of the uniform-field theory, improveable bounds on overall moduli of heterogeneous materials which remain finite even when isolated cavities and rigid inclusions are present, and a brief account of a fundamental duality principle in anisotropic elasticity. In addition, better explanations of a number of topics are given, more recent references are added, the Subject Index has been expanded and printing and typographical errors have been corrected.The material is organized into two parts preceded by a précis. Part 1 consists of four chapters which are organized into fourteen sections and four appendixes. It deals with materials with microdefects such as cavities, cracks, and inclusions, as well as with elastic composites. Part 2 consists of two chapters which are divided into seven sections. It provides an introduction to the theory of linear elasticity, added to make the book self-contained, since linear elasticity serves as the basis of the development of small-deformation micromechanics.Part 2 mainly contains part of the lecture notes on elasticity which the first author wrote in the late 1960's. The material is mostly standard, given for background information.
Mechanics
Volume 1
3rd Edition
January 1, 1976
L D Landau + 1 more
English
Devoted to the foundation of mechanics, namely classical Newtonian mechanics, the subject is based mainly on Galileo's principle of relativity and Hamilton's principle of least action. The exposition is simple and leads to the most complete direct means of solving problems in mechanics.The final sections on adiabatic invariants have been revised and augmented. In addition a short biography of L D Landau has been inserted.
Ultrasonic Investigation of Mechanical Properties
Treatise on Materials Science and Technology, Vol. 3
1st Edition
January 1, 1973
Robert E. Green
Herbert Herman
English
Treatise on Materials Science and Technology, Volume 3: Ultrasonic Investigation of Mechanical Properties summarizes the studies of mechanical properties by acoustic methods. Aside from a comprehensive examination of acoustic-mechanical phenomena, fundamental concepts and applications are discussed. Topics covered range from linear and nonlinear elastic waves to energy loss from elastic waves (ultrasonic attenuation). Comprised of four chapters, this volume begins with an introduction to the theory of linear elastic wave propagation, focusing on wave speeds and particle displacements as well as energy flux, isotropic solids, and cubic crystals. Plane waves propagating along [110] and in arbitrary directions are also considered, together with optical visualization of ultrasonic waves and measurement of linear elastic properties. The next chapter is devoted to nonlinear elastic waves and measurement of their elastic properties, with emphasis on how velocity measurements of elastic waves may be used to determine mechanical properties of solid materials. The final chapter analyzes the various mechanisms by which energy can be lost from ultrasonic waves propagating through real solids and how measurement of the amount of this energy loss can yield valuable information about the mechanical properties of the solid. This monograph is intended for professional scientists and engineers, as well as graduate students in materials science and associated fields.