On Elastostatic Contact Problems With Friction

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Contact Problems in Elasticity

Author : N. Kikuchi
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.

Variational Inequalities and Frictional Contact Problems

Author : Anca Capatina
Publisher : Springer
ISBN 13 : 3319101633
Total Pages : 242 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Variational Inequalities and Frictional Contact Problems by : Anca Capatina

Download or read book Variational Inequalities and Frictional Contact Problems written by Anca Capatina and published by Springer. This book was released on 2014-09-16 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analysis and Simulation of Contact Problems

Author : Peter Wriggers
Publisher : Springer Science & Business Media
ISBN 13 : 3540317619
Total Pages : 393 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Analysis and Simulation of Contact Problems by : Peter Wriggers

Download or read book Analysis and Simulation of Contact Problems written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2006-08-15 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully edited book offers a state-of-the-art overview on formulation, mathematical analysis and numerical solution procedures of contact problems. The contributions collected in this volume summarize the lectures presented by leading scientists in the area of contact mechanics, during the 4th Contact Mechanics International Symposium (CMIS) held in Hannover, Germany, 2005.

Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity

Author : Weimin Han
Publisher : American Mathematical Soc.
ISBN 13 : 0821831925
Total Pages : 464 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity by : Weimin Han

Download or read book Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity written by Weimin Han and published by American Mathematical Soc.. This book was released on 2002 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Índice: Function spaces and their properties; Introduction to finite difference and finite element approximations; Variational inequalities; Constitutive relations in solid mechanics; Background on variational and numerical analysis in contact mechanics; Contact problems in elasticity; Bilateral contact with slip dependent friction; Frictional contact with normal compliance; Frictional contact with normal damped response; Other viscoelastic contact problems; Frictionless contact with dissipative potential; Frictionless contact between two viscoplastic bodies; Bilateral contact with Tresca's friction law; Other viscoelastic contact problems; Bibliography; Index.

Handbook of Contact Mechanics

Author : Valentin L. Popov
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.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 912 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Inclusions and Hemivariational Inequalities

Author : Stanisław Migórski
Publisher : Springer Science & Business Media
ISBN 13 : 146144232X
Total Pages : 293 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Nonlinear Inclusions and Hemivariational Inequalities by : Stanisław Migórski

Download or read book Nonlinear Inclusions and Hemivariational Inequalities written by Stanisław Migórski and published by Springer Science & Business Media. This book was released on 2012-09-18 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of contact mechanics. The work covers both abstract results in the area of nonlinear inclusions, hemivariational inequalities as well as the study of specific contact problems, including their modelling and their variational analysis. Provided results are based on original research on the existence, uniqueness, regularity and behavior of the solution for various classes of nonlinear stationary and evolutionary inclusions. In carrying out the variational analysis of various contact models, one systematically uses results of hemivariational inequalities and, in this way, illustrates the applications of nonlinear analysis in contact mechanics. New mathematical methods are introduced and applied in the study of nonlinear problems, which describe the contact between a deformable body and a foundation. Contact problems arise in industry, engineering and geophysics. Their variational analysis presented in this book lies the background for their numerical analysis. This volume will interest mathematicians, applied mathematicians, engineers, and scientists as well as advanced graduate students.

Optimization with PDE Constraints

Author : Ronald Hoppe
Publisher : Springer
ISBN 13 : 3319080253
Total Pages : 422 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Optimization with PDE Constraints by : Ronald Hoppe

Download or read book Optimization with PDE Constraints written by Ronald Hoppe and published by Springer. This book was released on 2014-09-11 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on PDE Constrained Optimization contains contributions on the mathematical analysis and numerical solution of constrained optimal control and optimization problems where a partial differential equation (PDE) or a system of PDEs appears as an essential part of the constraints. The appropriate treatment of such problems requires a fundamental understanding of the subtle interplay between optimization in function spaces and numerical discretization techniques and relies on advanced methodologies from the theory of PDEs and numerical analysis as well as scientific computing. The contributions reflect the work of the European Science Foundation Networking Programme ’Optimization with PDEs’ (OPTPDE).

Boundary Elements XIII

Author : C.A. Brebbia
Publisher : Springer Science & Business Media
ISBN 13 : 9401136963
Total Pages : 1005 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Boundary Elements XIII by : C.A. Brebbia

Download or read book Boundary Elements XIII written by C.A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1005 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its origin in 1978, the International Conference on Boundary Element Methods has provided the recognized and established forum for innovations in boundary element research. Practically all new ideas on boundary ele ments have been presented at these conferences and the resulting papers can be found in the published books. The conference brings together the most renowned scientists and engineers working on boundary element research throughout the world. A unique feature of these meetings is that the participation of younger researchers is actively encouraged by the organizers in an effort to .bring forward to the attention of the international community an ever expanding range of new ideas. This book contains the edited version of the papers presented at the XIIIth BEM Conference held in Tulsa, Oklahoma in August of 1991. The meeting attracted a large number of participants and many excellent contributions which have been divided into nineteen different sections, i.e. Potential Prob lems; Diffusion and Convection Problems; Fluid Mechanics; Fluid Flow; Wave Propagation; Groundwater Flow; Heat Transfer; Electrical Problems; Geomechanics; Plates and Shells; Inelastic Problems; Damage Tolerance; Contact Mechanics; Industrial Applications; Design Sensitivity and Opti mization; Inverse Problems; Special Techniques; Numerical Aspects and Computational Aspects.

New Developments in Contact Problems

Author : Peter Wriggers
Publisher : Springer
ISBN 13 : 3709124964
Total Pages : 255 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis New Developments in Contact Problems by : Peter Wriggers

Download or read book New Developments in Contact Problems written by Peter Wriggers and published by Springer. This book was released on 2014-05-04 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives an overview on formulation, mathematical analysis and numerical solution procedures of contact problems. In this respect the book should be of value to applied mathematicians and engineers who are concerned with contact mechanics.

Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics

Author : Shen R. Wu
Publisher : John Wiley & Sons
ISBN 13 : 1118382072
Total Pages : 352 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics by : Shen R. Wu

Download or read book Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics written by Shen R. Wu and published by John Wiley & Sons. This book was released on 2012-07-30 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic introduction to the theories and formulations of the explicit finite element method As numerical technology continues to grow and evolve with industrial applications, understanding the explicit finite element method has become increasingly important, particularly in the areas of crashworthiness, metal forming, and impact engineering. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is the first book to address specifically what is now accepted as the most successful numerical tool for nonlinear transient dynamics. The book aids readers in mastering the explicit finite element method and programming code without requiring extensive background knowledge of the general finite element. The authors present topics relating to the variational principle, numerical procedure, mechanical formulation, and fundamental achievements of the convergence theory. In addition, key topics and techniques are provided in four clearly organized sections: • Fundamentals explores a framework of the explicit finite element method for nonlinear transient dynamics and highlights achievements related to the convergence theory • Element Technology discusses four-node, three-node, eight-node, and two-node element theories • Material Models outlines models of plasticity and other nonlinear materials as well as the mechanics model of ductile damage • Contact and Constraint Conditions covers subjects related to three-dimensional surface contact, with examples solved analytically, as well as discussions on kinematic constraint conditions Throughout the book, vivid figures illustrate the ideas and key features of the explicit finite element method. Examples clearly present results, featuring both theoretical assessments and industrial applications. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is an ideal book for both engineers who require more theoretical discussions and for theoreticians searching for interesting and challenging research topics. The book also serves as an excellent resource for courses on applied mathematics, applied mechanics, and numerical methods at the graduate level.

Modern Practice in Stress and Vibration Analysis

Author : J. E. Mottershead
Publisher : Elsevier
ISBN 13 : 1483136426
Total Pages : 355 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Modern Practice in Stress and Vibration Analysis by : J. E. Mottershead

Download or read book Modern Practice in Stress and Vibration Analysis written by J. E. Mottershead and published by Elsevier. This book was released on 2016-06-23 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Practice in Stress and Vibration Analysis documents the proceedings of the conference on Modern Practice in Stress and Vibration Analysis organized by the Stress Analysis Group of the Institute of Physics at the University of Liverpool, 3-5 April 1989. The Group has been known in the UK for its contribution in providing meetings with an emphasis on application, covering topics which range widely to include modern numerical techniques and advanced experimentation. The volume contains 34 papers presented by researchers at the conference covering a wide range of topics such as the application of the sensitivity analysis method to structural dynamics; passive and active vibration control for use in vibration suppression in spacecraft; analysis of an ultrasonically excited thick cylinder; and the prediction of vibrational power transmission through a system of jointed beams carrying longitudinal and flexural waves. It is hoped that the contributions published in this book will be of value to the broad community of practitioners in stress and vibration analysis whom the Stress Analysis Group exists to serve.

Three-Dimensional Elastic Bodies in Rolling Contact

Author : J.J. Kalker
Publisher : Springer Science & Business Media
ISBN 13 : 9401578893
Total Pages : 331 pages
Book Rating : 4.4/5 (15 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 2013-04-17 with total page 331 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.

Scalable Algorithms for Contact Problems

Author : Zdeněk Dostál
Publisher : Springer
ISBN 13 : 1493968343
Total Pages : 341 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Scalable Algorithms for Contact Problems by : Zdeněk Dostál

Download or read book Scalable Algorithms for Contact Problems written by Zdeněk Dostál and published by Springer. This book was released on 2017-01-25 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive and self-contained treatment of the authors’ newly developed scalable algorithms for the solutions of multibody contact problems of linear elasticity. The brand new feature of these algorithms is theoretically supported numerical scalability and parallel scalability demonstrated on problems discretized by billions of degrees of freedom. The theory supports solving multibody frictionless contact problems, contact problems with possibly orthotropic Tresca’s friction, and transient contact problems. It covers BEM discretization, jumping coefficients, floating bodies, mortar non-penetration conditions, etc. The exposition is divided into four parts, the first of which reviews appropriate facets of linear algebra, optimization, and analysis. The most important algorithms and optimality results are presented in the third part of the volume. The presentation is complete, including continuous formulation, discretization, decomposition, optimality results, and numerical experiments. The final part includes extensions to contact shape optimization, plasticity, and HPC implementation. Graduate students and researchers in mechanical engineering, computational engineering, and applied mathematics, will find this book of great value and interest.

Advances in Wireless Networks and Information Systems

Author : Qi Luo
Publisher : Springer Science & Business Media
ISBN 13 : 3642143504
Total Pages : 585 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Advances in Wireless Networks and Information Systems by : Qi Luo

Download or read book Advances in Wireless Networks and Information Systems written by Qi Luo and published by Springer Science & Business Media. This book was released on 2010-09-30 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of WNIS 2009, the 2009 International Conference on Wireless N- works and Information Systems, is to bring together researchers, engineers and practitioners interested on information systems and applications in the context of wireless networks and mobile technologies. Information systems and information technology are pervasive in the whole communications field, which is quite vast, encompassing a large number of research topics and applications: from practical issues to the more abstract th- retical aspects of communication; from low level protocols to high-level netwo- ing and applications; from wireless networking technologies to mobile infor- tion systems; many other topics are included in the scope of WNIS 2009. The WNIS 2009 will be held in Shanghai, China, in December 2009. We cordially invite you to attend the 2009 International Conference on Wireless N- works and Information Systems. We are soliciting papers that present recent results, as well as more speculative presentations that discuss research challenges, define new applications, and propose methodologies for evaluating and the road map for achieving the vision of wireless networks and mobile technologies. The WNIS 2009 is co-sponsored by the Institute of Electrical and Electronics Engineers, the IEEE Shanghai Section, the Intelligent Information Technology Application Research Association, Hong Kong and Wuhan Institute of Techn- ogy, China. The purpose of the WNIS 2009 is to bring together researchers and practitioners from academia, industry, and government to exchange their research ideas and results and to discuss the state of the art in the areas of the symposium.

Nonsmooth Mechanics of Solids

Author : Jaroslav Haslinger
Publisher : Springer Science & Business Media
ISBN 13 : 3211482431
Total Pages : 320 pages
Book Rating : 4.2/5 (114 download)

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Book Synopsis Nonsmooth Mechanics of Solids by : Jaroslav Haslinger

Download or read book Nonsmooth Mechanics of Solids written by Jaroslav Haslinger and published by Springer Science & Business Media. This book was released on 2007-08-03 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonsmooth mechanics is a relatively complex field and requires a good knowledge of mechanics as well as a good background in some parts of modern mathematics. The present volume of lecture notes follows a very successful advanced school, with the aim to cover as much as possible all these aspects. It includes contributions that cover mechanical aspects as well as the mathematical and numerical treatment.