Method Of Dimensionality Reduction In Contact Mechanics And Friction

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Method Of Dimensionality Reduction In Contact Mechanics And Friction

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Author : Valentin L. Popov
language : en
Publisher: Springer
Release Date : 2014-08-19

Method Of Dimensionality Reduction In Contact Mechanics And Friction written by Valentin L. Popov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-19 with Science categories.

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

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Author : Valentin L. Popov
language : en
Publisher: Technische Universität Berlin, Department of System Dynamics and Friction Physics
Release Date : 2018-08-08

Method Of Dimensionality Reduction In Contact Mechanics written by Valentin L. Popov and has been published by Technische Universität Berlin, Department of System Dynamics and Friction Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-08 with Science categories.

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

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Author : Valentin L. Popov
language : en
Publisher: Springer
Release Date : 2017-03-10

Contact Mechanics And Friction written by Valentin L. Popov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-10 with Science categories.

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.

Contact Mechanics And Friction

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Author : Valentin L. Popov
language : en
Publisher: Springer
Release Date : 2017-03-29

Contact Mechanics And Friction written by Valentin L. Popov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-29 with Science categories.

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.

Contact Mechanics Of Articular Cartilage Layers

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Author : Ivan Argatov
language : en
Publisher: Springer
Release Date : 2015-06-15

Contact Mechanics Of Articular Cartilage Layers written by Ivan Argatov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-15 with Science categories.

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.

Contact Mechanics Perspective Of Tribology

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Author : Irina Goryacheva
language : en
Publisher: Frontiers Media SA
Release Date : 2021-06-04

Contact Mechanics Perspective Of Tribology written by Irina Goryacheva and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-04 with Technology & Engineering categories.

Handbook Of Contact Mechanics

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Author : Valentin L. Popov
language : en
Publisher: Springer
Release Date : 2019-04-26

Handbook Of Contact Mechanics written by Valentin L. Popov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-26 with Science categories.

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.

Proceedings Of The 1st International Conference On Numerical Modelling In Engineering

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Author : Magd Abdel Wahab
language : en
Publisher: Springer
Release Date : 2018-08-28

Proceedings Of The 1st International Conference On Numerical Modelling In Engineering written by Magd Abdel Wahab and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-28 with Technology & Engineering categories.

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.

Computer Methods And Experimental Measurements For Surface Effects And Contact Mechanics Viii

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Author : J. T. M. de Hosson
language : en
Publisher: WIT Press
Release Date : 2007

Computer Methods And Experimental Measurements For Surface Effects And Contact Mechanics Viii written by J. T. M. de Hosson and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.

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.

Multiscale Biomechanics And Tribology Of Inorganic And Organic Systems

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Author : Georg-Peter Ostermeyer
language : en
Publisher: Springer Nature
Release Date : 2020-11-23

Multiscale Biomechanics And Tribology Of Inorganic And Organic Systems written by Georg-Peter Ostermeyer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-23 with Science categories.

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.