© 2020

Modeling and Simulation of Tribological Problems in Technology

  • Marco Paggi
  • David Hills

Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 593)

Table of contents

  1. Front Matter
    Pages i-vii
  2. David Hills, Hendrik Andresen
    Pages 1-39
  3. J. R. Barber
    Pages 41-93
  4. James P. Ewen, Eduardo Ramos Fernández, Edward R. Smith, Daniele Dini
    Pages 95-130
  5. Marco Paggi, Alberto Bemporad, José Reinoso
    Pages 131-178
  6. Andreas Almqvist, Francesc Pérez-Ràfols
    Pages 229-278
  7. Carmine Putignano, Daniele Dini
    Pages 279-330

About this book


This book conveys, in a self-contained manner, the fundamental concepts for classifying types of contact, the essential mathematical methods for the formulation of contact problems, and the numerical methods required for their solution. In addition to the methodologies, it covers a broad range of applications, including contact problems in mechanical engineering, microelectronics and nanomechanics. All chapters provide both substantial background on the theory and numerical methods, and in-depth treatments of cutting-edge research topics and applications.

The book is primarily intended for doctoral students of applied mathematics, mechanics, engineering and physics with a strong interest in the theoretical modelling, numerical simulation and experimental characterization of contact problems in technology. It will also benefit researchers in the above mentioned and neighbouring fields working in academia or at private research and development centres who are interested in a concise yet comprehensive overview of contact mechanics, from its fundamental mathematical background, to the computational methods and the experimental techniques currently available for the solution of contact problems.


contact mechanics contact between rough surfaces multi-scale methods for contact frictional instabilities hydrodynamic lubrication

Editors and affiliations

  • Marco Paggi
    • 1
  • David Hills
    • 2
  1. 1.IMT School for Advanced Studies LuccaLuccaItaly
  2. 2.Department of Engineering ScienceUniversity of OxfordOxfordUK

About the editors

Marco Paggi is full professor of Structural Mechanics at the IMT School for Advanced Studies Lucca, Italy, where he serves as director of the research unit Multi-scale Analysis of Materials (MUSAM) and of the experimental laboratory MUSAM-Lab. He has been the principal investigator of several Italian and EU projects, including a prestigious ERC Starting Grant and an ERC Proof of Concept Grant from the European Research Council. His research interests span various topics of continuum mechanics, with special focus on contact mechanics, fracture mechanics and coupled problems. On these topics, he published more than 120 articles in peer-reviewed international journals.


David Hills read Engineering Science at St John’s College, Oxford, UK from 1973-6, and was a research assistant and then lecturer at what was then Trent Polytechnic, Nottingham from 1977-1983. He then took up an appointment at University of Oxford, UK in the Department of Engineering Science, together with a Fellowship at Lincoln College, Oxford, where he has been ever since. His main research interests have been in fretting and fretting fatigue, supported mainly by the British physical sciences research council (EPSRC) and commercially by Rolls-Royce plc. 

Bibliographic information

  • Book Title Modeling and Simulation of Tribological Problems in Technology
  • Editors Marco Paggi
    David Hills
  • Series Title CISM International Centre for Mechanical Sciences
  • Series Abbreviated Title CISM Courses and Lectures
  • DOI
  • Copyright Information CISM International Centre for Mechanical Sciences 2020
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-030-20376-4
  • Softcover ISBN 978-3-030-20379-5
  • eBook ISBN 978-3-030-20377-1
  • Series ISSN 0254-1971
  • Series E-ISSN 2309-3706
  • Edition Number 1
  • Number of Pages VII, 330
  • Number of Illustrations 124 b/w illustrations, 57 illustrations in colour
  • Topics Theoretical and Applied Mechanics
    Applications of Mathematics
    Mechanical Engineering
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