A Primer In Elasticity
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A Primer In Elasticity
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Author : Paolo Podio-Guidugli
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-11-30
A Primer In Elasticity written by Paolo Podio-Guidugli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-30 with Mathematics categories.
This book presents the foundational issues of linear elasticity in a compact, unabridged manner; it is directed to mathematicians and physical scientists who care for approaching this classical subject with rigor and depth. There are four chapters: the first two illustrate, respectively, the concepts of deformation and strain and of force and stress; the third is devoted to a study of constitutive relations; the last discusses the posing of equilibrium problems. The emphasis is in the description of elasticity as a model whose construction calls for a delicate interplay between physics and mathematics. The conceptual links with general continuum mechanics are carefully indicated. It would not be easy to find in one other book a treatment of such issues as exact and linearized equilibria, the constitutive problems of classification and representation, internal constraints and material symmetries, elastic equilibrium with the Cauchy relations, and elastic equilibrium in the presence of internal constraints. The book can be be used to teach one-semester advanced undergraduate and graduate courses in elasticity theory to students in applied mathematics and engineering; for this purpose, it contains one hundred exercises of variable difficulty.
A Primer For Finite Elements In Elastic Structures
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Author : W. F. Carroll
language : en
Publisher: John Wiley & Sons
Release Date : 1998-11-05
A Primer For Finite Elements In Elastic Structures written by W. F. Carroll and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-05 with Technology & Engineering categories.
A thorough guide to the fundamentals--and how to use them--of finite element analysis for elastic structures For elastic structures, the finite element method is an invaluable tool which is used most effectively only when one understands completely each of its facets. A Primer for Finite Elements in Elastic Structures disassembles the entire finite element method for civil engineering students and professionals, detailing its supportive theory and its mathematical and structural underpinnings, in the context of elastic structures and the principle of virtual work. The book opens with a discussion of matrix algebra and algebraic equation systems to foster the basic skills required to successfully understand and use the finite element method. Key mathematical concepts outlined here are joined to pertinent concepts from mechanics and structural theory, with the method constructed in terms of one-dimensional truss and framework finite elements. The use of these one-dimensional elements in the early chapters promotes better understanding of the fundamentals. Subsequent chapters describe many two-dimensional structural finite elements in depth, including the geometry, mechanics, transformations, and mapping needed for them. Most chapters end with questions and problems which review the text material. Answers for many of these are at the end of the book. An appendix describes how to use MATLAB(r), a popular matrix-manipulation software platform necessary to perform the many matrix operations required for the finite element method, such as matrix addition, multiplication, inversion, partitioning, rearrangement, and assembly. As an added extra, the m-files discussed can be downloaded from the Wiley FTP server.
A Primer In Elasticity
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Author : Paolo Podio-Guidugli
language : en
Publisher:
Release Date : 2000
A Primer In Elasticity written by Paolo Podio-Guidugli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Rubberlike Elasticity
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Author : James E. Mark
language : en
Publisher: Cambridge University Press
Release Date : 2007-02-08
Rubberlike Elasticity written by James E. Mark and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-08 with Technology & Engineering categories.
Elastomers and rubberlike materials form a critical component in diverse applications that range from tyres to biomimetics and are used in chemical, biomedical, mechanical and electrical engineering. This updated and expanded edition provides an elementary introduction to the physical and molecular concepts governing elastic behaviour, with a particular focus on elastomers. The coverage of fundamental principles has been greatly extended and fully revised, with analogies to more familiar systems such as gases, producing an engaging approach to these phenomena. Dedicated chapters on novel uses of elastomers, covering bioelastomers, filled elastomers and liquid crystalline elastomers, illustrate the established and emerging applications at the forefront of physical science. With a list of experiments and demonstrations, problem sets and solutions, this is a self-contained introduction to the topic for graduate students, researchers and industrialists working in the applied fields of physics and chemistry, polymer science and engineering.
Elasticity
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Author : Martin H. Sadd
language : en
Publisher: Elsevier
Release Date : 2010-08-04
Elasticity written by Martin H. Sadd and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-04 with Technology & Engineering categories.
Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. - Contains exercises for student engagement as well as the integration and use of MATLAB Software - Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of
An Introduction To The Theory Of Elasticity
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Author : R. J. Atkin
language : en
Publisher: Courier Corporation
Release Date : 2013-02-20
An Introduction To The Theory Of Elasticity written by R. J. Atkin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-20 with Science categories.
Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.
A Finite Element Primer For Beginners
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Author : Tarek I. Zohdi
language : en
Publisher: Springer
Release Date : 2014-08-12
A Finite Element Primer For Beginners written by Tarek I. Zohdi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-12 with Science categories.
The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. The topics covered are: (1) Weighted residual methods and Galerkin approximations, (2) A model problem for one-dimensional linear elastostatics, (3) Weak formulations in one dimension, (4) Minimum principles in one dimension, (5) Error estimation in one dimension, (5) Construction of Finite Element basis functions in one dimension, (6) Gaussian Quadrature, (7) Iterative solvers and element by element data structures, (8) A model problem for three-dimensional linear elastostatics, (9) Weak formulations in three dimensions, (10) Basic rules for element construction in three-dimensions, (11) Assembly of the system and solution schemes, (12) Assembly of the system and solution schemes, (13) An introduction to time-dependent problems and (14) A brief introduction to rapid computation based on domain decomposition and basic parallel processing.
Soft Solids
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Author : Alan D. Freed
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-03-10
Soft Solids written by Alan D. Freed and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-10 with Mathematics categories.
This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors and masters-level graduate students in engineering, physics or applied mathematics. It will also be a valuable resource for researchers working in mechanics, biomechanics and other fields where the mechanical response of soft solids is relevant. Soft Solids: A Primer to the Theoretical Mechanics of Materials is divided into two parts. Part I introduces the basic concepts needed to give both Eulerian and Lagrangian descriptions of the mechanical response of soft solids. Part II presents two distinct theories of elasticity and their associated theories of viscoelasticity. Seven boundary-value problems are studied over the course of the book, each pertaining to an experiment used to characterize materials. These problems are discussed at the end of each chapter, giving students the opportunity to apply what they learned in the current chapter and to build upon the material in prior chapters.
Elasticity Of Materials
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Author : Ezgi Günay
language : en
Publisher: BoD – Books on Demand
Release Date : 2019-01-30
Elasticity Of Materials written by Ezgi Günay and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-30 with Technology & Engineering categories.
In the science of physics, elasticity is the ability of a deformable body (e.g., steel, aluminum, rubber, wood, crystals, etc.) to resist a distorting effect and to return to its original size and shape when that influence or force is removed. Solid bodies will deform when satisfying forces are applied to them. Elasticity solution of materials will be grouped in forms of linear and nonlinear elasticity formulations. The main subject of this book is engineering elasticity and consists of five chapters in two main sections. These two main sections are "General Theorems in Elasticity" and "Engineering Applications in Theory of Elasticity." The first chapter of the first section belongs to the editor and is entitled "Analytical and Numerical Approaches in Engineering Elasticity." The second chapter in the first section is entitled "A General Overview of Stress-Strain Analysis for the Elasticity Equations" by P. Kumar, M. Mahanty, and A. Chattopadhyay. The first chapter of the second section is entitled "FEA and Experimental Determination of Applied Elasticity Problems for Fabricating Aspheric Surfaces" by Dr. D.N. Nguyen. The second chapter is entitled "Concept of Phase Transition Based on Elastic Systematics" by Dr. P.S. Nnamchi and Dr. C.S. Obayi. The third chapter is entitled "Repair Inspection Technique Based on Elastic-Wave Tomography Applied for Deteriorated Concrete Structures" by Dr. K. Hashimoto, Dr. T. Shiotani, Dr. T. Nishida, and Dr. N. Okude. Finally, this book includes the basic principles of elasticity and related engineering applications about theory and design.
Elasticity For Geotechnicians
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Author : Paolo Podio-Guidugli
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-20
Elasticity For Geotechnicians written by Paolo Podio-Guidugli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-20 with Technology & Engineering categories.
This book deals in a modern manner with a family of named problems from an old and mature subject, classical elasticity. These problems are formulated over either a half or the whole of a linearly elastic and isotropic two- or three-dimensional space, subject to loads concentrated at points or lines. The discussion of each problem begins with a careful examination of the prevailing symmetries, and proceeds with inverting the canonical order, in that it moves from a search for balanced stress fields to the associated strain and displacement fields. The book, although slim, is fairly well self-contained; the only prerequisite is a reasonable familiarity with linear algebra (in particular, manipulation of vectors and tensors) and with the usual differential operators of mathematical physics (gradient, divergence, curl, and Laplacian); the few nonstandard notions are introduced with care. Support material for all parts of the book is found in the final Appendix.