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Books in Mechanics elasticity rheology

Matrix Computer Methods of Vibration Analysis
1st Edition
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
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
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.
Non-Linear Theory of Elasticity and Optimal Design
1st Edition
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
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.
Dynamics of Thin Walled Elastic Bodies
1st Edition
J. D. Kaplunov + 2 more
English
Written by a well-known group of researchers from Moscow, this book is a study of the asymptotic approximations of the 3-D dynamical equations of elasticity in the case of thin elastic shells of an arbitrary shape. Vibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domains. Dynamics of Thin Walled Elastic Bodies shows that refined shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells, and offers new, mathematically more consistent ways of describing the dynamics of shells.
Mechanics
Volume 1
3rd Edition
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
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.