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Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods (Studies in Applied and Numerical Mathematics): N. Kikuchi, J.T. Oden
Society for Industrial Mathematics | ISBN: 0898714680 | 1995-07-14 | PDF (OCR) | 495 pages | 17.58 Mb

The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes.


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Elasticity, Second Edition: Theory, Applications, and Numerics

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Martin H. Sadd "Elasticity, Second Edition: Theory, Applications, and Numerics"
Academic Press | English | 2009-02-06 | ISBN: 0123744466 | 512 pages | PDF | 6,6 MB


Elasticity is concerned with determining the strength and load carrying ability of engineering structures including buildings, bridges, cars, planes, and thousands of machine parts that most of us never see. It is especially important in the fields of mechanical, civil, aeronautical and materials engineering. Elasticity: Theory, Applications and Numerics 2e provides a concise and organized presentation and development of the theory of elasticity, moving from solution methodologies, formulations and strategies into applications of contemporary interest, including fracture mechanics, anisotropic/composite materials, micromechanics and computational methods. Developed as a text for a one or two-semester graduate elasticity course, this new edition is the only elasticity text to provide coverage in the new area of non-homogenous, or graded, materal behavior. End of chapter exercises throughout the book are fully incorporated with the use of MATLAB software.

Key Features:

* Provides a thorough yet concise introduction to general elastic theory and behavior
* Demonstrates numerous applications in areas of contemporary interest including fracture mechanics, anisotropic/composite and graded materials, micromechanics, and computational methods
* The only current elasticity text to incorporate MATLAB into its extensive end-of-chapter exercises
* The book's organization makes it well-suited for a one or two semester course in elastictiy

Features New to the Second Edition:

* First elasticity text to offer a chapter on non-homogenous, or graded, material behavior
* New appendix on review of undergraduate mechanics of materials theory to make the text more self-contained
* 355 end of chapter exercises - 30% NEW to this edition


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Elasticity and Plasticity of Large Deformations: An Introduction

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Albrecht Bertram "Elasticity and Plasticity of Large Deformations: An Introduction"
Springer | English | 2005-05-31 | ISBN: 3540240330 | 326 pages | PDF | 39,5 MB


The book offers a careful introduction to modern non-linear mechanics. The used mathematical tools, such as tensor algebra and analysis are given in detail. The general theory of mechanical behaviour is particularized for the broad and important classes of elasticity and plasticity. It is intended to bring the reader close to the fields of today's research activities. A list of notations and an index help the reader to find specific topics. The book is based on three decades of teaching experience in this field.


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http://avaxhome.ws/ebooks/science_books/0198503679_Mathematical_Theory.html

R. Hill, "The Mathematical Theory of Plasticity (Oxford Classic Texts in the Physical Sciences)"
Oxford University Press, USA 1998 | ISBN-10: 0198503679 | 366 Pages | DjVu | 3,6 MB

Written by one of the leaders in the field and first published in 1950, this book remains a classic treatment of the mathematical theory of plastic materials


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Theory of Elasticity, Third Edition: Volume 7 (Theoretical Physics, Vol 7)
By L D Landau, L. P. Pitaevskii, E.M. Lifshitz, A. M. Kosevich



Publisher: Butterworth-Heinemann
Number Of Pages: 195
Publication Date: 1986-01-15
ISBN-10 / ASIN: 075062633X
ISBN-13 / EAN: 9780750626330


Product Description:

A comprehensive textbook covering not only the ordinary theory of the deformation of solids, but also some topics not usually found in textbooks on the subject, such as thermal conduction and viscosity in solids.







Summary: difficult to rate a book I have not yet received!
Rating: 4

I would have been happy to review this book, but unluckily I have not yet received it (the initial order dates from 24/03/08; the second has been given on the 05/24/0.I thank you for your kind interest in my judgment, and hope I shall have in the future the opportunity to share my views with others customers. Let me remind you that the money has very quickly been taken from my bank account. Theory of Elasticity, Third Edition: Volume 7 (Theoretical Physics, Vol 7)




Summary: Fortunately... not Timoshenko
Rating: 5

Timoshenko's book is a collection of exercises. Landau's book is a collection of ideas.



Summary: Sure... not Timoshenko.
Rating: 4

Timoshenko is a Russian genious scientist/engineer who has credits in theory of elasticity and vibration analysis. Landau is a great physics educator in general but not an expert of elasticity. If you compare any elasticity book with Timoshenko's you will sure be very disappointed. Anyway I think this book is still fairly well written.



Summary: Not Timoshenko
Rating: 3

I was looking for something similar to Timoshenko's "Theory of Elasticity." This was not it. I am a working mechanical engineer. This book is aimed at the physicist/student. It is 200 pages long and crammed full of tensors. They also hit on waves and liquid crystals. I may or may not keep this book.



Summary: Bad print for an otherwise good textbook.
Rating: 3

The book is a classic in the field; it's well written and clear, with interesting problems. However, the Publisher chose very tiny fonts, sometimes lacking in toner. Overall they did a terrible print, hard to read!

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Elasticity of Transversely Isotropic Materials (Solid Mechanics and Its Applications) (Solid Mechanics and Its Applications)

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Elasticity of Transversely Isotropic Materials (Solid Mechanics and Its Applications) (Solid Mechanics and Its Applications): Haojiang Ding Weiqiu Chen L. Zhang
Springer | ISBN: NOT FOUND | 2006 | PDF (OCR) | 435 pages | 39.8 Mb


This book presents a comprehensive and systematic analysis of problems of transversely isotropic materials that have wide applications in civil, mechanical, aerospace, materials processing and manufacturing engineering. Various efficient methods based on three-dimensional elasticity are developed under a unified framework, including the displacement method, the stress method, and the state-space method. In particular, a three-dimensional general solution is derived to solve practical problems such as the infinite space, half-space, bimaterial space, layered medium, bodies of revolution, thermal stresses and three-dimensional contact. Exact and analytical solutions are also derived for static and dynamic problems of plates and shells, which may be used as the benchmarks for numerical or approximate analysis. Coupling effects of inner/outer fluids and surrounding elastic media on the free vibration cylindrical and spherical shells are discussed in detail. New state-space formulations are established for the analysis of rectangular plates and spherical shells, from which two independent classes of vibrations can be easily clarified.In short, this is the first monograph on mechanics of transversely isotropic materials, which is unique, covers topics of practical importance and provides many references for the reader.


Table of Contents
Ch. 1 Basic equations of anisotropic elasticity 1
Ch. 2 General solutions for transversely isotropic problems 29
Ch. 3 Problems for infinite solids 71
Ch. 4 Half-space and layered media 107
Ch. 5 Equilibrium of bodies of revolution 147
Ch. 6 Thermal stresses 183
Ch. 7 Frictional contact 205
Ch. 8 Bending, vibration and stability of plates 247
Ch. 9 Vibrations of cylinders and cylindrical shells of transversely isotropic materials 283
Ch. 10 Spherical shells of spherically isotropic materials 327


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Advanced Strength and Applied Elasticity
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Author, "Advanced Strength and Applied Elasticity"
Prentice Hall PTR ,4 ed | 2003 | ISBN: 0130473928 | 560 pages | PDF | 11,3 MB

This systematic exploration of real-world stress analysis has been completely revised and updated to reflect state-of-the-art methods and applications now in use throughout the fields of aeronautical, civil, and mechanical engineering and engineering mechanics. Distinguished by its exceptional visual interpretations of the solutions, it offers an in-depth coverage of the subjects for students and practicing engineers. The authors carefully balance comprehensive treatments of solid mechanics, elasticity, and computer-oriented numerical methods. In addition, a wide range of fully worked illustrative examples and an extensive problem sets--many taken directly from engineering practice--have been incorporated. Key additions to the Fourth Edition of this highly acclaimed textbook are materials dealing with failure theories, fracture mechanics, compound cylinders, numerical approaches, energy and variational methods, buckling of stepped columns, common shell types, and more. Contents include stress, strain and stress-strain relations, problems in elasticity, static and dynamic failure criteria, bending of beams and torsion of bars, finite difference and finite element methods, axisymmetrically loaded members, beams on elastic foundations, energy methods, elastic stability, plastic behavior of materials, stresses in plates and shells, and selected references to expose readers to the latest information in the field.



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http://avaxhome.ws/ebooks/engeneering_technology/9812778705.html

Weian Yao, Wanxie Zhong, Chee Wah Lim "Symplectic Elasticity"
World Scientific Publishing Company | English | 2009-02-26 | ISBN: 9812778705 | 316 pages | PDF | 3 MB


Solid mechanics problems have long been regarded as bottlenecks in the development of elasticity. In contrast to traditional solution methodologies, such as Timoshenko s theory of elasticity for which the main technique is the semi-inverse method, this book presents a new approach based on the Hamiltonian principle and the symplectic duality system where solutions are derived in a rational manner in the symplectic space. Departing from the conventional Euclidean space with one kind of variable, the symplectic space with dual variables thus provides a fundamental breakthrough.

This book explains the new solution methodology by discussing plane isotropic elasticity, multiple layered plate, anisotropic elasticity, sectorial plate and thin plate bending problems in some detail. A number of existing problems without analytical solutions within the framework of classical approaches are solved analytically using this symplectic approach. Symplectic methodologies can be applied not only to problems in elasticity, but also to other solid mechanics problems. In addition, it can also be extended to various engineering mechanics and mathematical physics fields, such as vibration, wave propagation, control theory, electromagnetism and quantum mechanics.

Contents: Mathematical Preliminaries; Fundamental Equations of Elasticity and Variational Principle; The Timoshenko Beam Theory and Its Extension; Plane Elasticity in Rectangular Coordinates; Plane Anisotropic Elasticity Problems; Saint Venant Problems for Laminated Composite Plates; Solutions for Plane Elasticity in Polar Coordinates; Hamiltonian System for Bending of Thin Plates.


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Mathematical Foundations of Elasticity by Jerrold E. Marsden, Thomas J. Hughes

Product Description
This graduate-level study approaches mathematical foundations of 3-dimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. The authors have incorporated relevant problems throughout the text. Jerrold E. Marsden is Professor of Mathematics, University of California, Berkeley. Thomas J. R. Hughes is Professor of Mechanical Engineering, Stanford University. 1983 edition.

Product Details

* Pub. Date: February 1983
* Publisher: Prentice Hall Professional Technical Reference
* Format: Hardcover, 496pp

* Series: Prentice-Hall Civil Engineering and Engineering Mechanics Series
* ISBN-13: 9780135610763
* ISBN: 0135610761

Paperback reprint with Dover Editions

Synopsis

Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.

Table of Contents
Preface
Brief glossary of conventions and notations
A point of departure
1. Kinematics
2. Balance laws
3. Elastic materials
4. Boundary value problems
5. Constitutive inequalities
6. The role of geometry and functional analysis
1. Geometry and kinematics of bodies
1.1 Motions of simple bodies
1.2 Vector fields, one-forms, and pull-backs
1.3 The deformation gradient
1.4 Tensors, two-point tensors, and the covariant derivative
1.5 Conservation of mass
1.6 Flows and lie derivatives
1.7 Differential forms and the Piola transformation
2. Balance principles
2.1 The master balance law
2.2 The stress tensor and balance of momentum
2.3 Balance of energy
2.4 Classical spacetimes, covariant balance of energy, and the principle of virtual work
2.5 Thermodynamics II; the second law
3. Constitutive theory
3.1 The constitutive hypothesis
3.2 Consequences of thermodynamics, locality, and material frame indifference
3.3 Covariant constitutive theory
3.4 The elasticity tensor and thermoelastic solids
3.5 Material symmetries and isotropic elasticity
4. Linearization
4.1 The implicit function theorem
4.2 Linearization of nonlinear elasticity
4.3 Linear elasticity
4.4 Linearization stability
5. Hamiltonian and variational principles
5.1 The formal variational structure of elasticity
5.2 Linear Hamiltonian systems and classical elasticity
5.3 Abstract Hamiltonian and Lagrangian systems
5.4 Lagrangian field theory and nonlinear elasticity
5.5 Conservation laws
5.6 Reciprocity
5.7 Relativistic elasticity
6. Methods of functional analysis inelasticity
6.1 Elliptic operators and linear elastostatics
6.2 Abstract semigroup theory
6.3 Linear elastodynamics
6.4 Nonlinear elastostatics
6.5 Nonlinear elastodynamics
6.6 The energy criterion
6.7 A control problem for a beam equation
7. Selected topics in bifurcation theory
7.1 Basic ideas of static bifurcation theory
7.2 A survey of some applications to elastostatics
7.3 The traction problem near a natural state (Signorini's problem)
7.4 Basic ideas of dynamic bifurcation theory
7.5 A survey of some applications to elastodynamics
7.6 Bifurcations in the forced oscillations of a beam
Bibliography, Index

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