Models and Analysis of Quasistatic Contact
Models and Analysis of Quasistatic Contact

Author: Meir Shillor

Publisher: Springer Science & Business Media

Published: 2004-09-16

Total Pages: 288

ISBN-13: 9783540229155

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The mathematical theory of contact mechanics is a growing field in engineering and scientific computing. This book is intended as a unified and readily accessible source for mathematicians, applied mathematicians, mechanicians, engineers and scientists, as well as advanced students. The first part describes models of the processes involved like friction, heat generation and thermal effects, wear, adhesion and damage. The second part presents many mathematical models of practical interest and demonstrates the close interaction and cross-fertilization between contact mechanics and the theory of variational inequalities. The last part reviews further results, gives many references to current research and discusses open problems and future developments. The book can be read by mechanical engineers interested in applications. In addition, some theorems and their proofs are given as examples for the mathematical tools used in the models.

Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity
Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity

Author: Weimin Han

Publisher: American Mathematical Soc.

Published: 2002

Total Pages: 464

ISBN-13: 0821831925

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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.

Analysis and Approximation of Contact Problems with Adhesion or Damage
Analysis and Approximation of Contact Problems with Adhesion or Damage

Author: Mircea Sofonea

Publisher: CRC Press

Published: 2005-09-26

Total Pages: 220

ISBN-13: 1420034839

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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

Magnetism: A Synchrotron Radiation Approach
Magnetism: A Synchrotron Radiation Approach

Author: Eric Beaurepaire

Publisher: Springer Science & Business Media

Published: 2006-06-13

Total Pages: 472

ISBN-13: 3540332413

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This volume contains the edited lectures of the fourth Mittelwihr school on "Magnetism and Synchrotron Radiation". This series of events introduces graduate students and nonspecialists from related disciplines to the field of magnetism and magnetic materials with emphasis on synchrotron radiation as an experimental tool of investigation. These lecture notes present in particular the state of the art regarding the analysis of magnetic properties of new materials.

Novel NMR and EPR Techniques
Novel NMR and EPR Techniques

Author: J. Dolinsek

Publisher: Springer

Published: 2006-09-11

Total Pages: 447

ISBN-13: 3540326278

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A survey of recent research in the fields of condensed matter physics and chemistry based on novel NMR and ESR techniques. Applications include quantum computing, metal nanoparticles, low dimensional magnets, fullerenes as atomic cages, superconductors, porous media, and laser assisted studies. The book is dedicated to Professor Robert Blinc, on the occasion of his seventieth birthday, in appreciation of his remarkable scientific accomplishments in the NMR of condensed matter.

Chaos and Stability in Planetary Systems
Chaos and Stability in Planetary Systems

Author: Rudolf Dvorak

Publisher: Springer Science & Business Media

Published: 2006-01-13

Total Pages: 304

ISBN-13: 9783540282082

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This book is intended as an introduction to the field of planetary systems at the postgraduate level. It consists of four extensive lectures on Hamiltonian dynamics, celestial mechanics, the structure of extrasolar planetary systems and the formation of planets. As such, this volume is particularly suitable for those who need to understand the substantial connections between these different topics.

Jamming, Yielding, and Irreversible Deformation in Condensed Matter
Jamming, Yielding, and Irreversible Deformation in Condensed Matter

Author: Carmen Miguel

Publisher: Springer Science & Business Media

Published: 2006-02-21

Total Pages: 221

ISBN-13: 3540300287

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This collection of ten tutorial reviews by leading researchers in the field introduces and renews recent advances on irreversible deformation phenomena in solid state and soft condensed matter physics. The focus in applications is on amorphous materials, crystalline solids under stress and, more generally, elastic manifolds driven by external processes. This book addresses in particular nonspecialists and graduate students wishing to enter the field.

Dynamics of Extended Celestial Bodies And Rings
Dynamics of Extended Celestial Bodies And Rings

Author: Jean J. Souchay

Publisher: Springer

Published: 2006-08-03

Total Pages: 217

ISBN-13: 3540324550

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Taking both a theoretical and observational perspective, this book is an introduction to recent developments in the field of celestial mechanics. It emphasizes the application to extended celestial bodies and devotes much attention to rotational aspects. In particular, it explains the state of art for accurate modelling of the rotation of celestial bodies such as the Earth, the Moon, and Mercury, which involves principles related to hydrodynamics and geodesy. Comparisons between the light curves of the asteroids and their rotational state are made and spatial techniques leading to the determination of the Earth's gravitational field are explained. Also, the book provides a general overview of the collisional processes in the solar system and of the dynamics of the rings. It is addressed to graduate students and researchers in space sciences and celestial dynamics.

Nonlinear Inclusions and Hemivariational Inequalities
Nonlinear Inclusions and Hemivariational Inequalities

Author: Stanisław Migórski

Publisher: Springer Science & Business Media

Published: 2012-09-18

Total Pages: 293

ISBN-13: 1461442311

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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.