Three Dimensional Contact Problems

Author : A.M. Alexandrov,D.A. Pozharskii
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401098939

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Three-Dimensional Contact Problems by A.M. Alexandrov,D.A. Pozharskii Pdf

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.

Author : A M Alexandrov,D a Pozharskii
Publisher : Unknown
Page : 428 pages
File Size : 43,9 Mb
Release : 2001-11-30
Category : Electronic
ISBN : 9401098948

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Three-Dimensional Contact Problems by A M Alexandrov,D a Pozharskii Pdf

Author : Peter Wriggers,Udo Nackenhorst
Publisher : Springer Science & Business Media
Page : 393 pages
File Size : 44,8 Mb
Release : 2006-08-15
Category : Science
ISBN : 9783540317616

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Analysis and Simulation of Contact Problems by Peter Wriggers,Udo Nackenhorst Pdf

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.

Author : A.M. Alexandrov,D.A. Pozharskii
Publisher : Springer Science & Business Media
Page : 432 pages
File Size : 43,9 Mb
Release : 2001-08-31
Category : Science
ISBN : 0792371658

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Three-Dimensional Contact Problems by A.M. Alexandrov,D.A. Pozharskii Pdf

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.

Author : J.J. Kalker
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 52,5 Mb
Release : 2013-04-17
Category : Science
ISBN : 9789401578899

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Three-Dimensional Elastic Bodies in Rolling Contact by J.J. Kalker Pdf

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.

Author : Valentin L. Popov,Markus Heß
Publisher : Springer
Page : 268 pages
File Size : 44,7 Mb
Release : 2014-08-19
Category : Science
ISBN : 9783642538766

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Method of Dimensionality Reduction in Contact Mechanics and Friction by Valentin L. Popov,Markus Heß Pdf

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.

Author : J.R. Barber
Publisher : Springer
Page : 585 pages
File Size : 52,6 Mb
Release : 2018-02-09
Category : Technology & Engineering
ISBN : 9783319709390

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Contact Mechanics by J.R. Barber Pdf

This book describes the solution of contact problems with an emphasis on idealized (mainly linear) elastic problems that can be treated with elementary analytical methods. General physical and mathematical features of these solutions are highlighted. Topics covered include the contact of rough surfaces and problems involving adhesive (e.g. van der Waals) forces. The author is a well-known researcher in the subject with hands-on experience of the topics covered and a reputation for lucid explanations. The target readership for the book includes researchers who encounter contact problems but whose primary focus is not contact mechanics. Coverage is also suitable for a graduate course in contact mechanics and end-of-chapter problems are included.

Author : Przemyslaw Litewka
Publisher : Springer Science & Business Media
Page : 175 pages
File Size : 54,8 Mb
Release : 2010-04-24
Category : Science
ISBN : 9783642129407

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Finite Element Analysis of Beam-to-Beam Contact by Przemyslaw Litewka Pdf

Phenomena occurring during a contact of two bodies are encountered in everyday life. In reality almost every type of motion is related to frictional contact between a moving body and a ground. Moreover, modeling of simple and more complex processes as nailing, cutting, vacuum pressing, movement of machines and their elements, rolling or, finally, a numerical simulation of car crash tests, requires taking contact into account. Therefore, its analysis has been a subject of many research efforts for a long time now. However, it is author’s opinion that there are relatively few efforts related to contact between structural elements, like beams, plates or shells. The purpose of this work is to fill this gap. It concerns the beam-to-beam contact as a specific case of the 3D solids contact. A numerical formulation of frictional contact for beams with two shapes of cross-section is derived. Further, a couple of effective methods for modeling of smooth curves representing beam axes are presented. A part of the book is also devoted to analyze some aspects of thermo-electro-mechanical coupling in contact of thermal and electric conductors. Analyses in every chapter are illustrated with numerical examples showing the performance of derived contact finite elements.

Author : John M. Golden,George A.C. Graham
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 49,5 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662061565

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Boundary Value Problems in Linear Viscoelasticity by John M. Golden,George A.C. Graham Pdf

The classical theories of Linear Elasticity and Newtonian Fluids, though trium phantly elegant as mathematical structures, do not adequately describe the defor mation and flow of most real materials. Attempts to characterize the behaviour of real materials under the action of external forces gave rise to the science of Rheology. Early rheological studies isolated the phenomena now labelled as viscoelastic. Weber (1835, 1841), researching the behaviour of silk threats under load, noted an instantaneous extension, followed by a further extension over a long period of time. On removal of the load, the original length was eventually recovered. He also deduced that the phenomena of stress relaxation and damping of vibrations should occur. Later investigators showed that similar effects may be observed in other materials. The German school referred to these as "Elastische Nachwirkung" or "the elastic aftereffect" while the British school, including Lord Kelvin, spoke ofthe "viscosityofsolids". The universal adoption of the term "Viscoelasticity", intended to convey behaviour combining proper ties both of a viscous liquid and an elastic solid, is of recent origin, not being used for example by Love (1934), though Alfrey (1948) uses it in the context of polymers. The earliest attempts at mathematically modelling viscoelastic behaviour were those of Maxwell (1867) (actually in the context of his work on gases; he used this model for calculating the viscosity of a gas) and Meyer (1874).

Author : Yukio Nakajima
Publisher : Springer
Page : 1265 pages
File Size : 51,5 Mb
Release : 2019-04-03
Category : Science
ISBN : 9789811357992

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Advanced Tire Mechanics by Yukio Nakajima Pdf

This book highlights the mechanics of tire performance, offering detailed explanations of deriving basic equations for the fundamental properties of tires, and discussing ways to improve tire performance using these equations. It also compares the theory with practical measurements. The book commences with composite mechanics, which is the fundamental theory for belt and carcass tires, and covers classical, modified and discrete lamination theory. It then addresses the theory of tire shape and spring properties and the mechanics of tread pattern contact properties, as was well as the performance of various tires. This comprehensive book is a valuable resource for engineers involved in tire design and offers unique insights and examples of improvement of tire performances.

Author : Per Grove Thomsen,Hans True
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 43,6 Mb
Release : 2009-11-09
Category : Technology & Engineering
ISBN : 9783642013560

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Non-smooth Problems in Vehicle Systems Dynamics by Per Grove Thomsen,Hans True Pdf

The book combines vehicle systems dynamics with the latest theoretical developments in dynamics of non-smooth systems and numerical analysis of differential-algebraic dynamical systems with discontinuities. These two fields are fundamental for the modelling and analysis of vehicle dynamical sytems. The results are also applicable to other non-smooth dynamical systems.

Author : Anonim
Publisher : Unknown
Page : 548 pages
File Size : 46,7 Mb
Release : 2001
Category : Elasticity
ISBN : UOM:39015054167138

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Three Dimensional Problems of Piezoelasticity by Anonim Pdf

Author : Anatolii Isakovich Lur'e,Anatoliĭ Isakovich Lurʹe
Publisher : Unknown
Page : 516 pages
File Size : 41,5 Mb
Release : 1964
Category : Elasticity
ISBN : STANFORD:36105002061732

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Three-dimensional Problems of the Theory of Elasticity by Anatolii Isakovich Lur'e,Anatoliĭ Isakovich Lurʹe Pdf

Author : Abdollah Darai
Publisher : Unknown
Page : 276 pages
File Size : 44,6 Mb
Release : 1985
Category : Electronic
ISBN : OCLC:184769881

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Applications of Higher Special Functions to Some Three-dimensional Contact Problems in the Classical Theory of Elasticity by Abdollah Darai Pdf

Author : V.D. Kupradze
Publisher : Elsevier
Page : 951 pages
File Size : 46,9 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780080984636

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Three-Dimensional Problems of Elasticity and Thermoelasticity by V.D. Kupradze Pdf

North-Holland Series in Applied Mathematics and Mechanics, Volume 25: Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity focuses on the theory of three-dimensional problems, including oscillation theory, boundary value problems, and integral equations. The publication first tackles basic concepts and axiomatization and basic singular solutions. Discussions focus on fundamental solutions of thermoelasticity, fundamental solutions of the couple-stress theory, strain energy and Hooke’s law in the couple-stress theory, and basic equations in terms of stress components. The manuscript then examines uniqueness theorems and singular integrals and integral equations. The book ponders on the potential theory and boundary value problems of elastic equilibrium and steady elastic oscillations. Topics include basic theorems of the oscillation theory, existence of solutions of boundary value problems, integral equations of the boundary value problems, and boundary properties of potential-type integrals. The publication also reviews mixed dynamic problems, couple-stress elasticity, and boundary value problems for media bounded by several surfaces. The text is a dependable source of data for mathematicians and readers interested in three-dimensional problems of the mathematical theory of elasticity and thermoelasticity.