Contact Problems In Elasticity PDF Download
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Author | : N. Kikuchi |
Publisher | : SIAM |
Total Pages | : 498 |
Release | : 1988-01-01 |
Genre | : Science |
ISBN | : 0898714680 |
Download Contact Problems in Elasticity Book in PDF, ePub and Kindle
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.
Author | : G.M.L. Gladwell |
Publisher | : Springer Science & Business Media |
Total Pages | : 740 |
Release | : 1980-06-30 |
Genre | : Science |
ISBN | : 9789028607606 |
Download Contact Problems in the Classical Theory of Elasticity Book in PDF, ePub and Kindle
Author | : L. A. Galin |
Publisher | : Springer Science & Business Media |
Total Pages | : 325 |
Release | : 2008-12-31 |
Genre | : Science |
ISBN | : 1402090439 |
Download Contact Problems Book in PDF, ePub and Kindle
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.
Author | : N. Kikuchi |
Publisher | : SIAM |
Total Pages | : 508 |
Release | : 1988-01-01 |
Genre | : Science |
ISBN | : 9781611970845 |
Download Contact Problems in Elasticity Book in PDF, ePub and Kindle
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.
Author | : J.R. Barber |
Publisher | : Springer |
Total Pages | : 592 |
Release | : 2018-02-09 |
Genre | : Technology & Engineering |
ISBN | : 3319709399 |
Download Contact Mechanics Book in PDF, ePub and Kindle
This book describes the solution of contact problems with an emphasis on idealized (mainly linear) elastic problems that can be treated with elementary analytical methods. General physical and mathematical features of these solutions are highlighted. Topics covered include the contact of rough surfaces and problems involving adhesive (e.g. van der Waals) forces. The author is a well-known researcher in the subject with hands-on experience of the topics covered and a reputation for lucid explanations. The target readership for the book includes researchers who encounter contact problems but whose primary focus is not contact mechanics. Coverage is also suitable for a graduate course in contact mechanics and end-of-chapter problems are included.
Author | : N. Kikuchi |
Publisher | : |
Total Pages | : |
Release | : 1979 |
Genre | : |
ISBN | : |
Download Contact problems in elasticity Book in PDF, ePub and Kindle
Author | : Anca Capatina |
Publisher | : Springer |
Total Pages | : 242 |
Release | : 2014-09-16 |
Genre | : Mathematics |
ISBN | : 3319101633 |
Download Variational Inequalities and Frictional Contact Problems Book in PDF, ePub and Kindle
Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones. By using a wide range of methods and arguments, the results are presented in a constructive way, with clarity and well justified proofs. This approach makes the subjects accessible to mathematicians and applied mathematicians. Moreover, this part of the book can be used as an excellent background for the investigation of more general classes of variational inequalities. The abstract variational inequalities considered in this book cover the variational formulations of many static and quasi-static contact problems. Based on these abstract results, in the last part of the book, certain static and quasi-static frictional contact problems in elasticity are studied in an almost exhaustive way. The readers will find a systematic and unified exposition on classical, variational and dual formulations, existence, uniqueness and regularity results, finite element approximations and related optimal control problems. This part of the book is an update of the Signorini problem with nonlocal Coulomb friction, a problem little studied and with few results in the literature. Also, in the quasi-static case, a control problem governed by a bilateral contact problem is studied. Despite the theoretical nature of the presented results, the book provides a background for the numerical analysis of contact problems. The materials presented are accessible to both graduate/under graduate students and to researchers in applied mathematics, mechanics, and engineering. The obtained results have numerous applications in mechanics, engineering and geophysics. The book contains a good amount of original results which, in this unified form, cannot be found anywhere else.
Author | : N. Kikuchi |
Publisher | : |
Total Pages | : |
Release | : 1979 |
Genre | : |
ISBN | : |
Download Contact problems in elasticity Book in PDF, ePub and Kindle
Author | : Morton E. Gurtin |
Publisher | : SIAM |
Total Pages | : 58 |
Release | : 1981-09-01 |
Genre | : Technology & Engineering |
ISBN | : 0898711681 |
Download Topics in Finite Elasticity Book in PDF, ePub and Kindle
This monograph presents a derivation of the basic equations of the theory of finite elasticity.
Author | : J.R. Barber |
Publisher | : Springer Science & Business Media |
Total Pages | : 416 |
Release | : 2006-04-11 |
Genre | : Science |
ISBN | : 0306483955 |
Download Elasticity Book in PDF, ePub and Kindle
Since the first edition of this book was published, there have been major improve- TM TM ments in symbolic mathematical languages such as Maple and Mathematica and this has opened up the possibility of solving considerably more complex and hence interesting and realistic elasticity problems as classroomexamples. It also enables the student to focus on the formulation of the problem (e. g. the appropriate governing equations and boundary conditions) rather than on the algebraic manipulations, with a consequent improvement in insight into the subject and in motivation. During the past 10 years I have developed files in Maple and Mathematica to facilitate this p- cess, notably electronic versions of the Tables in the present Chapters 19 and 20 and of the recurrence relations for generating spherical harmonics. One purpose of this new edition is to make this electronic material available to the reader through the Kluwer website www. elasticity. org. I hope that readers will make use of this resource and report back to me any aspects of the electronic material that could benefit from improvement or extension. Some hints about the use of this material are contained in Appendix A. Those who have never used Maple or Mathematica will find that it takes only a few hours of trial and error to learn how to write programs to solve boundary value problems in elasticity.