Contact Problems in the Classical Theory of Elasticity

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Publisher : Springer Science & Business Media
ISBN 13 : 9789028607606
Total Pages : 740 pages
Book Rating : 4.6/5 (76 download)

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Book Synopsis Contact Problems in the Classical Theory of Elasticity by : G.M.L. Gladwell

Download or read book Contact Problems in the Classical Theory of Elasticity written by G.M.L. Gladwell and published by Springer Science & Business Media. This book was released on 1980-06-30 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contact problems in the classical theory of elasticity

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Author :
Publisher : Springer
ISBN 13 : 9789400991279
Total Pages : 716 pages
Book Rating : 4.9/5 (912 download)

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Book Synopsis Contact problems in the classical theory of elasticity by : G. M. L. Gladwell

Download or read book Contact problems in the classical theory of elasticity written by G. M. L. Gladwell and published by Springer. This book was released on 2014-01-14 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contact Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1402090439
Total Pages : 325 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Contact Problems by : L. A. Galin

Download or read book Contact Problems written by L. A. Galin and published by Springer Science & Business Media. This book was released on 2008-12-31 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: L.A. Galin’s book on contact problems is a remarkable work. Actually there are two books: the first, published in 1953 deals with contact problems in the classical theory of elasticity; this is the one that was translated into English in 1961. The second book, published in 1980, included the first, and then had new sections on contact problems for viscoelastic materials, and rough contact problems; this section has not previously been translated into English. In this new translation, the original text and the mathematical analysis have been completely revised, new material has been added, and the material appearing in the 1980 Russian translation has been completely rewritten. In addition there are three essays by students of Galin, bringing the analysis up to date.

Contact Problems in Elasticity

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Publisher : SIAM
ISBN 13 : 9781611970845
Total Pages : 508 pages
Book Rating : 4.9/5 (78 download)

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Book Synopsis Contact Problems in Elasticity by : N. Kikuchi

Download or read book Contact Problems in Elasticity written by N. Kikuchi and published by SIAM. This book was released on 1988-01-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.

Crack Problems in the Classical Theory of Elasticity

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Author :
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Crack Problems in the Classical Theory of Elasticity by : Ian Naismith Sneddon

Download or read book Crack Problems in the Classical Theory of Elasticity written by Ian Naismith Sneddon and published by John Wiley & Sons. This book was released on 1969 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Some Basic Problems of the Mathematical Theory of Elasticity

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Publisher : Springer Science & Business Media
ISBN 13 : 9789001607012
Total Pages : 774 pages
Book Rating : 4.6/5 (7 download)

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Book Synopsis Some Basic Problems of the Mathematical Theory of Elasticity by : N.I. Muskhelishvili

Download or read book Some Basic Problems of the Mathematical Theory of Elasticity written by N.I. Muskhelishvili and published by Springer Science & Business Media. This book was released on 1977-04-30 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elasticity

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Publisher : Elsevier
ISBN 13 : 9780080477473
Total Pages : 480 pages
Book Rating : 4.4/5 (774 download)

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Book Synopsis Elasticity by : Martin H. Sadd

Download or read book Elasticity written by Martin H. Sadd and published by Elsevier. This book was released on 2010-08-04 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Theory of Elasticity

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Publisher : Springer Science & Business Media
ISBN 13 : 3540264558
Total Pages : 1036 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Theory of Elasticity by : A.I. Lurie

Download or read book Theory of Elasticity written by A.I. Lurie and published by Springer Science & Business Media. This book was released on 2010-05-30 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theory of elasticity maintains a place of honour in the science ofthe behaviour ofsolids. Its basic definitions are general for all branches of this science, whilst the methods forstating and solving these problems serve as examples of its application. The theories of plasticity, creep, viscoelas ticity, and failure of solids do not adequately encompass the significance of the methods of the theory of elasticity for substantiating approaches for the calculation of stresses in structures and machines. These approaches constitute essential contributions in the sciences of material resistance and structural mechanics. The first two chapters form Part I of this book and are devoted to the basic definitions ofcontinuum mechanics; namely stress tensors (Chapter 1) and strain tensors (Chapter 2). The necessity to distinguish between initial and actual states in the nonlinear theory does not allow one to be content with considering a single strain measure. For this reason, it is expedient to introduce more rigorous tensors to describe the stress-strain state. These are considered in Section 1.3 for which the study of Sections 2.3-2.5 should precede. The mastering of the content of these sections can be postponed until the nonlinear theory is studied in Chapters 8 and 9.

Three-Dimensional Problems of Elasticity and Thermoelasticity

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Publisher : Elsevier
ISBN 13 : 0080984630
Total Pages : 951 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Three-Dimensional Problems of Elasticity and Thermoelasticity by : V.D. Kupradze

Download or read book Three-Dimensional Problems of Elasticity and Thermoelasticity written by V.D. Kupradze and published by Elsevier. This book was released on 2012-12-02 with total page 951 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory of Elasticity and Thermal Stresses

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Publisher : Springer Science & Business Media
ISBN 13 : 9400763565
Total Pages : 789 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Theory of Elasticity and Thermal Stresses by : M. Reza Eslami

Download or read book Theory of Elasticity and Thermal Stresses written by M. Reza Eslami and published by Springer Science & Business Media. This book was released on 2013-05-13 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the elements of the theory and the problems of Elasticity and Thermal Stresses with full solutions. The emphasis is placed on problems and solutions and the book consists of four parts: one part is on The Mathematical Theory of Elasticity, two parts are on Thermal Stresses and one part is on Numerical Methods. The book is addressed to higher level undergraduate students, graduate students and engineers and it is an indispensable companion to all who study any of the books published earlier by the authors. This book links the three previously published books by the authors into one comprehensive entity.

Classical Mechanics

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Publisher : Springer
ISBN 13 : 3319487108
Total Pages : 380 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Classical Mechanics by : Reinhard Hentschke

Download or read book Classical Mechanics written by Reinhard Hentschke and published by Springer. This book was released on 2016-12-30 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook teaches classical mechanics as one of the foundations of physics. It describes the mechanical stability and motion in physical systems ranging from the molecular to the galactic scale. Aside from the standard topics of mechanics in the physics curriculum, this book includes an introduction to the theory of elasticity and its use in selected modern engineering applications, e.g. dynamic mechanical analysis of viscoelastic materials. The text also covers many aspects of numerical mechanics, ranging from the solution of ordinary differential equations, including molecular dynamics simulation of many particle systems, to the finite element method. Attendant Mathematica programs or parts thereof are provided in conjunction with selected examples. Numerous links allow the reader to connect to related subjects and research topics. Among others this includes statistical mechanics (separate chapter), quantum mechanics, space flight, galactic dynamics, friction, and vibration spectroscopy. An introductory chapter compiles all essential mathematical tools, ranging from coordinates to complex numbers. Completely solved problems and examples facilitate a thorough understanding of the material.

Contact Problems

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Publisher : Springer
ISBN 13 : 9781402090486
Total Pages : 318 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis Contact Problems by : L. A. Galin

Download or read book Contact Problems written by L. A. Galin and published by Springer. This book was released on 2009-08-29 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: L.A. Galin’s book on contact problems is a remarkable work. Actually there are two books: the first, published in 1953 deals with contact problems in the classical theory of elasticity; this is the one that was translated into English in 1961. The second book, published in 1980, included the first, and then had new sections on contact problems for viscoelastic materials, and rough contact problems; this section has not previously been translated into English. In this new translation, the original text and the mathematical analysis have been completely revised, new material has been added, and the material appearing in the 1980 Russian translation has been completely rewritten. In addition there are three essays by students of Galin, bringing the analysis up to date.

Contact Problems in Elasticity

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Author :
Publisher : SIAM
ISBN 13 : 0898714680
Total Pages : 498 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Contact Problems in Elasticity by : N. Kikuchi

Download or read book Contact Problems in Elasticity written by N. Kikuchi and published by SIAM. This book was released on 1988-01-01 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Contact Mechanics

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Publisher : Springer
ISBN 13 : 3662587092
Total Pages : 357 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Handbook of Contact Mechanics by : Valentin L. Popov

Download or read book Handbook of Contact Mechanics written by Valentin L. Popov and published by Springer. This book was released on 2019-04-26 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book contains a structured collection of the complete solutions of all essential axisymmetric contact problems. Based on a systematic distinction regarding the type of contact, the regime of friction and the contact geometry, a multitude of technically relevant contact problems from mechanical engineering, the automotive industry and medical engineering are discussed. In addition to contact problems between isotropic elastic and viscoelastic media, contact problems between transversal-isotropic elastic materials and functionally graded materials are addressed, too. The optimization of the latter is a focus of current research especially in the fields of actuator technology and biomechanics. The book takes into account adhesive effects which allow access to contact-mechanical questions about micro- and nano-electromechanical systems. Solutions of the contact problems include both the relationships between the macroscopic force, displacement and contact length, as well as the stress and displacement fields at the surface and, if appropriate, within the half-space medium. Solutions are always obtained with the simplest available method - usually with the method of dimensionality reduction (MDR) or approaches which use the solution of the non-adhesive normal contact problem to solve the respective contact problem.

Topics in Finite Elasticity

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Publisher : SIAM
ISBN 13 : 9781611970340
Total Pages : 63 pages
Book Rating : 4.9/5 (73 download)

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Book Synopsis Topics in Finite Elasticity by : Morton E. Gurtin

Download or read book Topics in Finite Elasticity written by Morton E. Gurtin and published by SIAM. This book was released on 1981-01-01 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite elasticity is a theory of elastic materials that are capable of undergoing large deformations. This theory is inherently nonlinear and is mathematically quite complex. This monograph presents a derivation of the basic equations of the theory, a discussion of the general boundary-value problems, and a treatment of several interesting and important special topics such as simple shear, uniqueness, the tensile deformations of a cube, and antiplane shear. The monograph is intended for engineers, physicists, and mathematicians.

Three-Dimensional Elastic Bodies in Rolling Contact

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792307129
Total Pages : 352 pages
Book Rating : 4.3/5 (71 download)

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Book Synopsis Three-Dimensional Elastic Bodies in Rolling Contact by : J.J. Kalker

Download or read book Three-Dimensional Elastic Bodies in Rolling Contact written by J.J. Kalker and published by Springer Science & Business Media. This book was released on 1990-10-31 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for mechanicians, engineering mathematicians, and, generally for theoretically inclined mechanical engineers. It has its origin in my Master's Thesis (J 957), which I wrote under the supervision of Professor Dr. R. Timman of the Delft TH and Dr. Ir. A. D. de Pater of Netherlands Railways. I did not think that the surface of the problem had even been scratched, so I joined de Pater, who had by then become Professor in the Engineering Mechanics Lab. of the Delft TH, to write my Ph. D. Thesis on it. This thesis (1967) was weil received in railway circles, which is due more to de Pater's untiring promotion than to its merits. Still not satisfied, I feit that I needed more mathe matics, and I joined Professor Timman's group as an Associate Professor. This led to the present work. Many thanks are due to G. M. L. Gladwell, who thoroughly polished style and contents of the manuscript. Thanks are also due to my wife, herself an engineering mathematician, who read the manuscript through critically, and made many helpful comments, to G. F. M. Braat, who also read an criticised, and, in addition, drew the figures together with J. Schonewille, to Ms. A. V. M. de Wit, Ms. M. den Boef, and Ms. P. c. Wilting, who typed the manuscript, and to the Publishers, who waited patiently. Delft-Rotterdam, 17 July 1990. J. J.

Contact mechanics perspective of tribology

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Author :
Publisher : Frontiers Media SA
ISBN 13 : 2889667618
Total Pages : 391 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Contact mechanics perspective of tribology by : Irina Goryacheva

Download or read book Contact mechanics perspective of tribology written by Irina Goryacheva and published by Frontiers Media SA. This book was released on 2021-06-04 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: