Contact Problems

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Contact Problems

Author : L. A. Galin
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

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.

Overcoming Parent-child Contact Problems

Author : Abigail M. Judge
Publisher : Oxford University Press
ISBN 13 : 0190235209
Total Pages : 353 pages
Book Rating : 4.1/5 (92 download)

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Book Synopsis Overcoming Parent-child Contact Problems by : Abigail M. Judge

Download or read book Overcoming Parent-child Contact Problems written by Abigail M. Judge and published by Oxford University Press. This book was released on 2016-10-18 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Describes interventions for families experiencing a high conflict divorce impasse where a child is resisting contact with a parent. It examines in detail one such intervention, the Overcoming Barriers approach, involving the entire family and combining psycho-education and clinical intervention. The book is divided into two parts: Part I presents an overview of parental alienation, including clinical approaches and a critical analysis of the many challenges associated with traditional outpatient family-based interventions. Part II presents the Overcoming Barriers approach, describing core aspects of the intervention and ways to adapt its clinical techniques to outpatient practice."--Provided by publisher.

Three-Dimensional Contact Problems

Author : A.M. Alexandrov
Publisher : Springer Science & Business Media
ISBN 13 : 9781402003875
Total Pages : 432 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Three-Dimensional Contact Problems by : A.M. Alexandrov

Download or read book Three-Dimensional Contact Problems written by A.M. Alexandrov and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic treatment, based on Green's functions and integral equations, is given to the analytical and numerical methods and results for a great number of 3-D contact problems for elastic bodies. Semi-bounded elastic bodies (layer, cylinder, space with cylindrical or spherical cavity, 3-D wedge, special cases of which are half- and quarter-spaces, cone) and finite elastic bodies (circular plate, finite cylinder, spherical layer, spherical lens, sphere) are considered. Methods introduced in the book can also be applied in fracture mechanics, hydrodynamics, electrostatics, thermodynamics and diffusion theory, continuum mechanics, and mathematical physics, as well as by engineers and students in mathematics, mechanics, and physics.

Variational Inequalities and Frictional Contact Problems

Author : Anca Capatina
Publisher : Springer
ISBN 13 : 3319101633
Total Pages : 235 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 235 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.

Unilateral Contact Problems

Author : Christof Eck
Publisher : CRC Press
ISBN 13 : 1420027360
Total Pages : 398 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Unilateral Contact Problems by : Christof Eck

Download or read book Unilateral Contact Problems written by Christof Eck and published by CRC Press. This book was released on 2005-03-17 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical analysis of contact problems, with or without friction, is an area where progress depends heavily on the integration of pure and applied mathematics. This book presents the state of the art in the mathematical analysis of unilateral contact problems with friction, along with a major part of the analysis of dynamic contact problems

Scalable Algorithms for Contact Problems

Author : Zdeněk Dostál
Publisher : Springer Nature
ISBN 13 : 3031335805
Total Pages : 447 pages
Book Rating : 4.0/5 (313 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 Nature. This book was released on 2023-11-29 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive treatment of recently developed scalable algorithms for solving multibody contact problems of linear elasticity. The brand-new feature of these algorithms is their theoretically supported numerical scalability (i.e., asymptotically linear complexity) and parallel scalability demonstrated in solving problems discretized by billions of degrees of freedom. The theory covers solving multibody frictionless contact problems, contact problems with possibly orthotropic Tresca’s friction, and transient contact problems. In addition, it also covers BEM discretization, treating jumping coefficients, floating bodies, mortar non-penetration conditions, etc. This second edition includes updated content, including a new chapter on hybrid domain decomposition methods for huge contact problems. Furthermore, new sections describe the latest algorithm improvements, e.g., the fast reconstruction of displacements, the adaptive reorthogonalization of dual constraints, and an updated chapter on parallel implementation. Several chapters are extended to give an independent exposition of classical bounds on the spectrum of mass and dual stiffness matrices, a benchmark for Coulomb orthotropic friction, details of discretization, etc. The exposition is divided into four parts, the first of which reviews auxiliary linear algebra, optimization, and analysis. The most important algorithms and optimality results are presented in the third chapter. The presentation includes continuous formulation, discretization, domain decomposition, optimality results, and numerical experiments. The final part contains 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.

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.

Dynamical Contact Problems with Friction

Author : Walter Sextro
Publisher : Springer Science & Business Media
ISBN 13 : 3540468714
Total Pages : 163 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Dynamical Contact Problems with Friction by : Walter Sextro

Download or read book Dynamical Contact Problems with Friction written by Walter Sextro and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to describe an efficient procedure to model dynamical contact problems with friction. This procedure is applied to different practical problems and validated by experiments. Friction contacts are used to transmit forces or to dissipate energy. Examples for dynamical engineering systems with friction are brakes, machine tools, motors, turbines, bearings or wheel-rail systems. A better understanding of friction phenomena can result in improvements like the reduction of noise and maintenance costs, increased life time of machines and improved energy efficiency. Dependent on the features of the friction contact, different contact models and solution methods are applied.

Contact Problems for Soft, Biological and Bioinspired Materials

Author : Feodor M. Borodich
Publisher : Springer Nature
ISBN 13 : 3030851753
Total Pages : 299 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Contact Problems for Soft, Biological and Bioinspired Materials by : Feodor M. Borodich

Download or read book Contact Problems for Soft, Biological and Bioinspired Materials written by Feodor M. Borodich and published by Springer Nature. This book was released on 2022-04-22 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains contributions from leading researchers in biomechanics, nanomechanics, tribology, contact mechanics, materials science and applications on various experimental techniques including atomic force microscopy (AFM) for studying soft, biomimetic and biological materials and objects. Biologists, physicists, researchers applying methods of contact mechanics and researchers testing materials using indentation techniques along with many other applied scientists will find this book a useful addition to their libraries. Moreover, several reviews in this book are written as introductions to several important and rather sophisticated research areas such as depth-sensing indentation, studying of biological cells by AFM probes, mechanics of adhesive contact and contact between viscoelastic (hereditary elastic) solids. The book containing new theoretical models, results of experimental studies and numerical simulations, along with reviews of above mentioned areas of contact mechanics in application to biological systems, would be beneficial for researchers in many areas of biology, medicine, engineering, mechanics and biomimetics.

Overcoming Parent-Child Contact Problems

Author : Abigail M. Judge
Publisher : Oxford University Press
ISBN 13 : 0190861983
Total Pages : 376 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis Overcoming Parent-Child Contact Problems by : Abigail M. Judge

Download or read book Overcoming Parent-Child Contact Problems written by Abigail M. Judge and published by Oxford University Press. This book was released on 2016-10-05 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been heightened interest in the clinical and legal management of families in which children resist contact with one parent and become aligned with the other following divorce. Families affected by these dynamics require disproportionate resources and time from mental health and legal professionals, and cases require a specialized clinical approach. Traditional models of individual and family therapy are not designed to address these issues, and strategies and resources for mental health and legal professionals have been extremely limited. Overcoming Parent-Child Contact Problems describes interventions for families experiencing a high conflict divorce impasse where a child is resisting contact with a parent. It examines in detail one such intervention, the Overcoming Barriers approach, involving the entire family and combining psycho-education and clinical intervention. The book is divided into two parts: Part I presents an overview of parental alienation, including clinical approaches and a critical analysis of the many challenges associated with traditional outpatient family-based interventions. Part II presents the Overcoming Barriers approach, describing core aspects of the intervention and ways to adapt its clinical techniques to outpatient practice. Overcoming Parent-Child Contact Problems is geared toward mental health clinicians and legal professionals who work with families in high conflict and where a child resists visitation with a parent.

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.

An efficient solution procedure for elastohydrodynamic contact problems considering structural dynamics

Author : Schmidt, Jan Henrik
Publisher : KIT Scientific Publishing
ISBN 13 : 3731508729
Total Pages : 165 pages
Book Rating : 4.7/5 (315 download)

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Book Synopsis An efficient solution procedure for elastohydrodynamic contact problems considering structural dynamics by : Schmidt, Jan Henrik

Download or read book An efficient solution procedure for elastohydrodynamic contact problems considering structural dynamics written by Schmidt, Jan Henrik and published by KIT Scientific Publishing. This book was released on 2019-01-14 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis and Approximation of Contact Problems with Adhesion or Damage

Author : Mircea Sofonea
Publisher : CRC Press
ISBN 13 : 1420034839
Total Pages : 220 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Analysis and Approximation of Contact Problems with Adhesion or Damage by : Mircea Sofonea

Download or read book Analysis and Approximation of Contact Problems with Adhesion or Damage written by Mircea Sofonea and published by CRC Press. This book was released on 2005-09-26 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research into contact problems continues to produce a rapidly growing body of knowledge. Recognizing the need for a single, concise source of information on models and analysis of contact problems, accomplished experts Sofonea, Han, and Shillor carefully selected several models and thoroughly study them in Analysis and Approximation of Contact P

Contact Problems in Elasticity

Author : N. Kikuchi
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.

Contact Problems in the Classical Theory of Elasticity

Author : G.M.L. Gladwell
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:

The Boundary Integral Approach to Static and Dynamic Contact Problems

Author : H. Antes
Publisher : Birkhäuser
ISBN 13 : 3034886500
Total Pages : 313 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Boundary Integral Approach to Static and Dynamic Contact Problems by : H. Antes

Download or read book The Boundary Integral Approach to Static and Dynamic Contact Problems written by H. Antes and published by Birkhäuser. This book was released on 2013-03-07 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of boundary integral equations and of inequality problems, or more gen erally, of nonsmooth mechanics, have seen, in a remarkably short time, a considerable development in mathematics and in theoretical and applied mechanics. The engineering sciences have also benefited from these developments in that open problems have been attacked succesfully and entirely new methodologies have been developed. The contact problems of elasticity is a class of problems which has offered many open questions to deal with, both to the research workers working on the theory of boundary integral equations and to those working on the theory of inequality problems. Indeed, the area of static and dynamic contact problems could be considered as the testing workbench of the new developments in both the inequality problems and in the boundary integral equations. This book is a first attempt to formulate and study the boundary integral equations arising in inequality contact problems. The present book is a result of more than two decades of research and teaching activity of the first author on boundary integral equations and, of the second author, on inequality problems, as well as the outgrowth of seminars and courses for a variety of audiences in the Technical University of Aachen, the Aristotle University of Thessa loniki, the Universities of Bochum, of Hamburg and Braunschweig, the Pontificia Univ. Catolica in Rio de Janeiro etc.