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An Introduction to the Theory of Elasticity

An Introduction to the Theory of Elasticity PDF Author: R. J. Atkin
Publisher: Courier Corporation
ISBN: 0486442411
Category : Science
Languages : en
Pages : 272

Book Description
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.

An Introduction to the Theory of Elasticity

An Introduction to the Theory of Elasticity PDF Author: R. J. Atkin
Publisher: Courier Corporation
ISBN: 0486442411
Category : Science
Languages : en
Pages : 272

Book Description
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.

Theory of Elasticity

Theory of Elasticity PDF Author: T. G. Sitharam
Publisher: Springer Nature
ISBN: 9813346507
Category : Technology & Engineering
Languages : en
Pages : 283

Book Description
Theory of Elasticity provides a modern and integrated treatment of the foundations of solid mechanics as applied to the mathematical description of material behavior primarily to serve the needs of undergraduate, postgraduate and research students of Civil, Mechanical and Aeronautical engineering. Basic concepts, definitions, theory as well as related practical applications are discussed in a logical and concise manner. The book includes a pedagogical features such as worked examples and problems to consolidate the readers’ understanding of fundamental principles and illustrates their applications in many practical situations. An important feature of this book lies in the use of linear theory of elasticity to obtain solutions to some of the specialized problems related to soil mechanics and foundation engineering in particular.

A Treatise on the Mathematical Theory of Elasticity

A Treatise on the Mathematical Theory of Elasticity PDF Author: Augustus Edward Hough Love
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 348

Book Description
An indispensable reference work for engineers, mathematicians, and physicists, this book is the most complete and authoritative treatment of classical elasticity in a single volume. Beginning with elementary notions of extension, simple shear and homogeneous strain, the analysis rapidly undertakes a development of types of strain, displacements corresponding to a given strain, cubical dilatation, composition of strains and a general theory of strains. A detailed analysis of stress including the stress quadric and uniformly varying stress leads into an exposition of the elasticity of solid bodies. Based upon the work-energy concept, experimental results are examined and the significance of elastic constants in general theory considered. Hooke's Law, elastic constants, methods of determining stress, thermo-elastic equations, and other topics are carefully discussed. --Back cover.

Theory of Elasticity for Scientists and Engineers

Theory of Elasticity for Scientists and Engineers PDF Author: Teodor M. Atanackovic
Publisher: Springer Science & Business Media
ISBN: 9780817640729
Category : Technology & Engineering
Languages : en
Pages : 478

Book Description
This book is intended to be an introduction to elasticity theory. It is as sumed that the student, before reading this book, has had courses in me chanics (statics, dynamics) and strength of materials (mechanics of mate rials). It is written at a level for undergraduate and beginning graduate engineering students in mechanical, civil, or aerospace engineering. As a background in mathematics, readers are expected to have had courses in ad vanced calculus, linear algebra, and differential equations. Our experience in teaching elasticity theory to engineering students leads us to believe that the course must be problem-solving oriented. We believe that formulation and solution of the problems is at the heart of elasticity theory. 1 Of course orientation to problem-solving philosophy does not exclude the need to study fundamentals. By fundamentals we mean both mechanical concepts such as stress, deformation and strain, compatibility conditions, constitu tive relations, energy of deformation, and mathematical methods, such as partial differential equations, complex variable and variational methods, and numerical techniques. We are aware of many excellent books on elasticity, some of which are listed in the References. If we are to state what differentiates our book from other similar texts we could, besides the already stated problem-solving ori entation, list the following: study of deformations that are not necessarily small, selection of problems that we treat, and the use of Cartesian tensors only.

A Treatise on the Mathematical Theory of Elasticity

A Treatise on the Mathematical Theory of Elasticity PDF Author: Augustus Edward Hough Love
Publisher: Courier Corporation
ISBN: 0486601749
Category : Technology & Engineering
Languages : en
Pages : 674

Book Description
The most complete single-volume treatment of classical elasticity, this text features extensive editorial apparatus, including a historical introduction. Topics include stress, strain, bending, torsion, gravitational effects, and much more. 1927 edition.

A History of the Theory of Elasticity and of the Strength of Materials

A History of the Theory of Elasticity and of the Strength of Materials PDF Author: Isaac Todhunter
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages :

Book Description


Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity

Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity PDF Author: Eduard Starovoitov
Publisher: CRC Press
ISBN: 1926895118
Category : Science
Languages : en
Pages : 366

Book Description
Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity. The book includes all modern methods of research as well as the results of the authors’ recent work and is presented with sufficient mathematical strictness and proof. The first six chapters are devoted to the foundations of the theory of elasticity. Theory of stress-strain state, physical relations and problem statements, variation principles, contact and 2D problems, and the theory of plates are presented, and the theories are accompanied by examples of solving typical problems. The last six chapters will be useful to postgraduates and scientists engaged in nonlinear mechanics of deformed inhomogeneous bodies. The foundations of the modern theory of plasticity (general, small elastoplastic deformations and the theory of flow), linear, and nonlinear viscoelasticity are set forth. Corresponding research of three-layered circular plates of various materials is included to illustrate methods of problem solving. Analytical solutions and numerical results for elastic, elastoplastic, lineaer viscoelastic and viscoelastoplastic plates are also given. Thermoviscoelastoplastic characteristics of certain materials needed for numerical account are presented in the eleventh chapter. The informative book is intended for scientists, postgraduates and higher-level students of engineering spheres and will provide important practical skills and approaches.

Some Basic Problems of the Mathematical Theory of Elasticity

Some Basic Problems of the Mathematical Theory of Elasticity PDF Author: N.I. Muskhelishvili
Publisher: Springer Science & Business Media
ISBN: 9401730342
Category : Technology & Engineering
Languages : en
Pages : 732

Book Description
TO THE FIRST ENGLISH EDITION. In preparing this translation, I have taken the liberty of including footnotes in the main text or inserting them in small type at the appropriate places. I have also corrected minor misprints without special mention .. The Chapters and Sections of the original text have been called Parts and Chapters respectively, where the latter have been numbered consecutively. The subject index was not contained in the Russian original and the authors' index represents an extension of the original list of references. In this way the reader should be able to find quickly the pages on which anyone reference is discussed. The transliteration problem has been overcome by printing the names of Russian authors and journals also in Russian type. While preparing this translation in the first place for my own informa tion, the knowledge that it would also become accessible to a large circle of readers has made the effort doubly worthwhile. I feel sure that the reader will share with me in my admiration for the simplicity and lucidity of presentation.

A History of the Theory of Elasticity and of the Strength of Materials: pts. 1-2. Saint-Venant to Lord Kelvin

A History of the Theory of Elasticity and of the Strength of Materials: pts. 1-2. Saint-Venant to Lord Kelvin PDF Author: Isaac Todhunter
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 576

Book Description


Variational Principles of Theory of Elasticity with Applications

Variational Principles of Theory of Elasticity with Applications PDF Author: Haichang Hu
Publisher: CRC Press
ISBN: 9780677313306
Category : Science
Languages : en
Pages : 514

Book Description