Method Of Dimensionality Reduction In Contact Mechanics And Friction

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Method of Dimensionality Reduction in Contact Mechanics and Friction

Author : Valentin L. Popov
Publisher : Springer
ISBN 13 : 3642538762
Total Pages : 268 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Method of Dimensionality Reduction in Contact Mechanics and Friction by : Valentin L. Popov

Download or read book Method of Dimensionality Reduction in Contact Mechanics and Friction written by Valentin L. Popov and published by Springer. This book was released on 2014-08-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes for the first time a simulation method for the fast calculation of contact properties and friction between rough surfaces in a complete form. In contrast to existing simulation methods, the method of dimensionality reduction (MDR) is based on the exact mapping of various types of three-dimensional contact problems onto contacts of one-dimensional foundations. Within the confines of MDR, not only are three dimensional systems reduced to one-dimensional, but also the resulting degrees of freedom are independent from another. Therefore, MDR results in an enormous reduction of the development time for the numerical implementation of contact problems as well as the direct computation time and can ultimately assume a similar role in tribology as FEM has in structure mechanics or CFD methods, in hydrodynamics. Furthermore, it substantially simplifies analytical calculation and presents a sort of “pocket book edition” of the entirety contact mechanics. Measurements of the rheology of bodies in contact as well as their surface topography and adhesive properties are the inputs of the calculations. In particular, it is possible to capture the entire dynamics of a system – beginning with the macroscopic, dynamic contact calculation all the way down to the influence of roughness – in a single numerical simulation model. Accordingly, MDR allows for the unification of the methods of solving contact problems on different scales. The goals of this book are on the one hand, to prove the applicability and reliability of the method and on the other hand, to explain its extremely simple application to those interested.

Method of Dimensionality Reduction in Contact Mechanics

Author : Valentin L. Popov
Publisher : Technische Universität Berlin, Department of System Dynamics and Friction Physics
ISBN 13 : 3000603824
Total Pages : 154 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Method of Dimensionality Reduction in Contact Mechanics by : Valentin L. Popov

Download or read book Method of Dimensionality Reduction in Contact Mechanics written by Valentin L. Popov and published by Technische Universität Berlin, Department of System Dynamics and Friction Physics. This book was released on 2018-08-08 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is a collection of open-access papers describing the foundations and applications of the Method of Dimensionality Reduction (MDR), first published in the Journal “Facta Universitatis. Series Mechanical Enginerring” in the years 2014-2018. The Method of Dimensionality Reduction (MDR) is a method of calculation and simulation of contacts of elastic and viscoelastic bodies. It consists essentially of two simple steps: (a) substitution of the three-dimensional continuum by a uniquely defined one-dimensional linearly elastic or viscoelastic foundation (Winkler foundation) and (b) transformation of the three-dimensional profile of the contacting bodies by means of the MDR-transformation. As soon as these two steps are done, the contact problem can be considered to be solved. For axial symmetric contacts, only a small calculation by hand is required which does not exceed elementary calculus and will not be a barrier for any practically-oriented engineer. Alternatively, the MDR can be implemented numerically, which is almost trivial due to the independence of the foundation elements. In spite of its simplicity, all results are exact. The present book brings together papers covering the most important aspects of the MDR and providing a practical guide for its use.

Contact Mechanics and Friction

Author : Valentin L. Popov
Publisher : Springer
ISBN 13 : 3662530813
Total Pages : 391 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Contact Mechanics and Friction by : Valentin L. Popov

Download or read book Contact Mechanics and Friction written by Valentin L. Popov and published by Springer. This book was released on 2017-03-10 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This application-oriented book introduces readers to the associations and relationships between contact mechanics and friction, providing them with a deeper understanding of tribology. It addresses the related phenomena of contacts, adhesion, capillary forces, friction, lubrication, and wear from a consistent point of view. The author presents (1) methods for rough estimates of tribological quantities, (2) simple and general methods for analytical calculations, and (3) the crossover into numerical simulation methods, the goal being to convey a consistent view of tribological processes at various scales of magnitude (from nanotribology to earthquake research). The book also explores the system dynamic aspects of tribological systems, such as squeal and its suppression, as well as other types of instabilities and spatial patterns. It includes problems and worked-out solutions for the respective chapters, giving readers ample opportunity to apply the theory to practical situations and to deepen their understanding of the material discussed. The second edition has been extended with a more detailed exposition of elastohydrodynamic lubrication, an updated chapter on numerical simulation methods in contact mechanics, a new section on fretting in the chapter on wear, as well as numerous new exercises and examples, which help to make the book an excellent reference guide.

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.

Handbook of Contact Mechanics

Author : Valentin L. Popov
Publisher : Springer
ISBN 13 : 9783662587089
Total Pages : 347 pages
Book Rating : 4.5/5 (87 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 2019-05-31 with total page 347 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.

Friction and Wear: From Elementary Mechanisms to Macroscopic Behavior

Author : Valentin L. Popov
Publisher : Frontiers Media SA
ISBN 13 : 2889630749
Total Pages : 104 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Friction and Wear: From Elementary Mechanisms to Macroscopic Behavior by : Valentin L. Popov

Download or read book Friction and Wear: From Elementary Mechanisms to Macroscopic Behavior written by Valentin L. Popov and published by Frontiers Media SA. This book was released on 2019-08-21 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Friction and the interaction of surfaces can usually be felt at the scale of the contacting bodies. Indeed, phenomena such as the frictional resistance or the occurrence of wear can be observable with plain eye, but to characterize them and in order to make a prediction, a more detailed understanding at smaller scales is often required. These can include individual roughness peaks or single molecule interactions. In this Research Topic, we have gathered a collection of articles representing the state of the art in tribology’s endeavor to bridge the gap between nano scale elementary research and the macroscopic behavior of contacting bodies. These articles showcase the breadth of questions related to the interaction of micro and macro scale and give examples of successful transfer of insights from one to the other. We are delighted to present this Research Topic to the reader with the hope that it will further inspire and stimulate research in the field.

Contact mechanics perspective of tribology

Author : Irina Goryacheva
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:

Handbook of Contact Mechanics

Author : Emanuel Willert
Publisher :
ISBN 13 : 9781013270826
Total Pages : 356 pages
Book Rating : 4.2/5 (78 download)

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Book Synopsis Handbook of Contact Mechanics by : Emanuel Willert

Download or read book Handbook of Contact Mechanics written by Emanuel Willert and published by . This book was released on 2020-10-08 with total page 356 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. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Contact Mechanics

Author : J.R. Barber
Publisher : Springer
ISBN 13 : 3319709399
Total Pages : 585 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Contact Mechanics by : J.R. Barber

Download or read book Contact Mechanics written by J.R. Barber and published by Springer. This book was released on 2018-02-09 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Contact Mechanics of Articular Cartilage Layers

Author : Ivan Argatov
Publisher : Springer
ISBN 13 : 3319200836
Total Pages : 335 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Contact Mechanics of Articular Cartilage Layers by : Ivan Argatov

Download or read book Contact Mechanics of Articular Cartilage Layers written by Ivan Argatov and published by Springer. This book was released on 2015-06-15 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive and unifying approach to articular contact mechanics with an emphasis on frictionless contact interaction of thin cartilage layers. The first part of the book (Chapters 1–4) reviews the results of asymptotic analysis of the deformational behavior of thin elastic and viscoelastic layers. A comprehensive review of the literature is combined with the authors’ original contributions. The compressible and incompressible cases are treated separately with a focus on exact solutions for asymptotic models of frictionless contact for thin transversely isotropic layers bonded to rigid substrates shaped like elliptic paraboloids. The second part (Chapters 5, 6, and 7) deals with the non-axisymmetric contact of thin transversely isotropic biphasic layers and presents the asymptotic modelling methodology for tibio-femoral contact. The third part of the book consists of Chapter 8, which covers contact problems for thin bonded inhomogeneous transversely isotropic elastic layers and Chapter 9, which addresses various perturbational aspects in contact problems and introduces the sensitivity of articular contact mechanics. This book is intended for advanced undergraduate and graduate students, researchers in the area of biomechanics, and engineers interested and involved in the analysis and design of thin-layer structures.

Numerical Methods in Contact Mechanics

Author : Vladislav A. Yastrebov
Publisher : John Wiley & Sons
ISBN 13 : 1118648056
Total Pages : 303 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Numerical Methods in Contact Mechanics by : Vladislav A. Yastrebov

Download or read book Numerical Methods in Contact Mechanics written by Vladislav A. Yastrebov and published by John Wiley & Sons. This book was released on 2013-02-13 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational contact mechanics is a broad topic which brings together algorithmic, geometrical, optimization and numerical aspects for a robust, fast and accurate treatment of contact problems. This book covers all the basic ingredients of contact and computational contact mechanics: from efficient contact detection algorithms and classical optimization methods to new developments in contact kinematics and resolution schemes for both sequential and parallel computer architectures. The book is self-contained and intended for people working on the implementation and improvement of contact algorithms in a finite element software. Using a new tensor algebra, the authors introduce some original notions in contact kinematics and extend the classical formulation of contact elements. Some classical and new resolution methods for contact problems and associated ready-to-implement expressions are provided. Contents: 1. Introduction to Computational Contact. 2. Geometry in Contact Mechanics. 3. Contact Detection. 4. Formulation of Contact Problems. 5. Numerical Procedures. 6. Numerical Examples. About the Authors Vladislav A. Yastrebov is a postdoctoral-fellow in Computational Solid Mechanics at MINES ParisTech in France. His work in computational contact mechanics was recognized by the CSMA award and by the Prix Paul Caseau of the French Academy of Technology and Electricité de France.

Contact Mechanics--friction

Author :
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Contact Mechanics--friction by :

Download or read book Contact Mechanics--friction written by and published by . This book was released on 2003 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contact Mechanics and Friction

Author : Valentin L. Popov
Publisher : Springer Science & Business Media
ISBN 13 : 3642108032
Total Pages : 362 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Contact Mechanics and Friction by : Valentin L. Popov

Download or read book Contact Mechanics and Friction written by Valentin L. Popov and published by Springer Science & Business Media. This book was released on 2010-03-10 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The English edition of “Contact Mechanics and Friction” lying before you is, for st the most part, the text of the 1 German edition (Springer Publishing, 2009). The book was expanded by the addition of a chapter on frictional problems in ear- quake research. Additionally, Chapter 15 was supplemented by a section on elasto-hydrodynamics. The problem sections of several chapters were enriched by the addition of new examples. This book would not have been possible without the active support of J. Gray, who translated it from the German edition. I would like to thank Prof. G. G. - charyan and Prof. S. Sobolev for discussions and critical comments on the chapter over earthquake dynamics. Dr. R. Heise made significant contributions to the - velopment and correction of new problems. I would like to convey my affecti- ate thanks to Dr. J. Starcevic for her complete support during the composition of this book. I want to thank Ms. Ch. Koll for her patience in creating figures and Dr. R. Heise, M. Popov, M. Heß, S. Kürscher, and B. Grzemba for their help in pro- reading. Berlin, November 2009 V.L. Popov Preface to the German Edition

Computer Methods and Experimental Measurements for Surface Effects and Contact Mechanics VIII

Author : J. T. M. de Hosson
Publisher : WIT Press
ISBN 13 : 184564073X
Total Pages : 353 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Computer Methods and Experimental Measurements for Surface Effects and Contact Mechanics VIII by : J. T. M. de Hosson

Download or read book Computer Methods and Experimental Measurements for Surface Effects and Contact Mechanics VIII written by J. T. M. de Hosson and published by WIT Press. This book was released on 2007 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of contact and surface problems in modern engineering and their combined effects has led to the Eighth International Conference on Computer Methods and Experimental Measurements for Surface and Contact Mechanics. Nowadays the importance of contact and surface problems in many technological fields is well understood: they are complex and inherently non-linear due to their moving boundaries and the different properties of materials, particularly along the contact surfaces. Structural components fail from wear, corrosion, high cycle fatigue etc., that is to say affected and initiated by the surface conditions. The use of surface treatments can reduce the cost of components and extend the life of the elements. Their effect is of particular importance in the case of surfaces undergoing contact, a problem which is addressed throughout the book. Topics featured: Surface Treatment; Surface problems in Contact Mechanics; Fracture Mechanics; Coupled analysis and experiments; Thin Coatings; Thick Coatings; Contact Mechanics; Material Surface in Contact; Applications and Case Studies.

Proceedings of the 1st International Conference on Numerical Modelling in Engineering

Author : Magd Abdel Wahab
Publisher : Springer
ISBN 13 : 9811322732
Total Pages : 418 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Proceedings of the 1st International Conference on Numerical Modelling in Engineering by : Magd Abdel Wahab

Download or read book Proceedings of the 1st International Conference on Numerical Modelling in Engineering written by Magd Abdel Wahab and published by Springer. This book was released on 2018-08-28 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers outstanding papers on numerical modeling in Mechanical Engineering (Volume 2) as part of the proceedings of the 1st International Conference on Numerical Modeling in Engineering (NME 2018), which was held in Ghent, Belgium. The overall objective of the conference was to bring together international scientists and engineers in academia and industry from fields related to advanced numerical techniques, such as the finite element method (FEM), boundary element method (BEM), isogeometric analysis (IGA), etc., and their applications to a wide range of engineering disciplines. This book addresses various industrial engineering applications of numerical simulations to Mechanical and Materials Engineering, including: Aerospace applications, Acoustic analysis, Biomechanical applications, Contact problems and wear, Heat transfer analysis, Vibration and dynamics, Transient analysis, Nonlinear analysis, Composite materials, Polymers, Metal alloys, Fracture mechanics, Fatigue of materials, Creep behavior, Phase transformation, and Crystal plasticity.

Computational Contact Mechanics

Author : Peter Wriggers
Publisher : Springer Science & Business Media
ISBN 13 : 3211772987
Total Pages : 248 pages
Book Rating : 4.2/5 (117 download)

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Book Synopsis Computational Contact Mechanics by : Peter Wriggers

Download or read book Computational Contact Mechanics written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2008-04-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.

Multiscale Biomechanics and Tribology of Inorganic and Organic Systems

Author : Georg-Peter Ostermeyer
Publisher : Springer Nature
ISBN 13 : 3030601242
Total Pages : 571 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Multiscale Biomechanics and Tribology of Inorganic and Organic Systems by : Georg-Peter Ostermeyer

Download or read book Multiscale Biomechanics and Tribology of Inorganic and Organic Systems written by Georg-Peter Ostermeyer and published by Springer Nature. This book was released on 2020-11-23 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book gathers authoritative contributions concerning multiscale problems in biomechanics, geomechanics, materials science and tribology. It is written in memory of Sergey Grigorievich Psakhie to feature various aspects of his multifaceted research interests, ranging from theoretical physics, computer modeling of materials and material characterization at the atomic scale, to applications in space industry, medicine and geotectonics, and including organizational, psychological and philosophical aspects of scientific research and teaching as well. This book covers new advances relating to orthopedic implants, concerning the physiological, tribological and materials aspects of their behavior; medical and geological applications of permeable fluid-saturated materials; earthquake dynamics together with aspects relating to their managed and gentle release; lubrication, wear and material transfer in natural and artificial joints; material research in manufacturing processes; hard-soft matter interaction, including adhesive and capillary effects; using nanostructures for influencing living cells and for cancer treatment; manufacturing of surfaces with desired properties; self-organization of hierarchical structures during plastic deformation and thermal treatment; mechanics of composites and coatings; and many more. Covering established knowledge as well as new models and methods, this book provides readers with a comprehensive overview of the field, yet also with extensive details on each single topic.