Overview
- Intended readership broad
- Draws on multiple disciplines, e.g., mechanics, applied mathematics, engineering, and physics
- Unique monograph to address the topic of dynamic contact problems in thermoelasticity, which take into account inertial effects and influence of thermoelastic coupling for models of solids in contact
- Mathematical modeling methods are illustrated and applied to practical engineering problems: e.g., for improving the reliability and durability of machines and mechanisms under friction, heat, and amount of wear in contact
- Presents solutions describe many interesting nonlinear effects
Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 16)
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Table of contents (5 chapters)
Keywords
About this book
Reviews
From the reviews:
"This monograph is devoted to methods of analysis and models of contacting systems dynamics, including heat generation and wears exhibited by such systems. … The monograph is generally well written and well organized. Strength of the book is the quantity and variety of example nonlinear system considered. This book is accessible to readers with a fundamental knowledge of ordinary and partial differential equations and linear theory of thermoelasticity. The book can be highly recommended for experts in the theory of elasticity." (Igor Andrianov, Zentrablatt MATH, Vol. 1153, 2009)
“In this very interesting book, models of frictional contact between solids including dynamics, heat generation and wear are presented and methods of solution are analyzed. This book is written in a very clear and very precise way, the bibliography is exhaustive and examples are numerous.” (Frédéric Charles Lebon, Mathematical Reviews, Issue 2010 a)
“This monograph is written as a reference for graduate students and practicing engineers. The aim is to define the dynamics of bodies in contact, the thermal field, the tensor of quasi-static stresses, displacements, and wear amount. Both one- and two-dimensional problems are considered.” (IEEE Control Systems Magazine, Vol. 30, April, 2010)
About the authors
Dr. Jan Awrejcewicz is the Chairperson for Science of the Faculty of Mechanical Engineering of the Technical University of Lodz, Poland. He has authored or coauthored over 410 publications in scientific journals and conference proceedings, 28 monographs, 2 textbooks, 2 edited volumes, 9 conferences proceedings, 8 journal special issues, and 145 other books, commentaries, or unpublished reports. He has also delivered 80 lectures during international conferences and gave 32 invited seminars at renowned universities worldwide. He is a contributer to 45 different journals and to 100 conferences. His papers and research cover various disciplines of mechanics, biomechanics, mathematics, physics and computer oriented sciences. He has authored and coauthered several books previously published by Springer.
Dr. Yuriy Pyryev is an Assistant Professor at the Technical University of Lodz, Poland. He is a member of the Committee of Fracture Mechanics of Ukraine, and a member of the Dynamical System of the Committee of Mechanics of PAS. He has authored or coauthored 4 monographs, 60 journal papers and chapters in books, 29 proceedings from international or national conferences, and 31 brief communications and reports. His research includes coupled thermodynamics, nonlinear contact problems, and nonlinear mechanics.
Bibliographic Information
Book Title: Nonsmooth Dynamics of Contacting Thermoelastic Bodies
Authors: Yuriy Pyr'yev, Jan Awrejcewicz
Series Title: Advances in Mechanics and Mathematics
DOI: https://doi.org/10.1007/978-0-387-09653-7
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Hardcover ISBN: 978-0-387-09652-0Due: 02 December 2008
Softcover ISBN: 978-1-4419-1880-2Published: 25 November 2010
eBook ISBN: 978-0-387-09653-7Published: 10 December 2008
Series ISSN: 1571-8689
Series E-ISSN: 1876-9896
Edition Number: 1
Number of Pages: XVIII, 242
Number of Illustrations: 121 b/w illustrations
Topics: Dynamical Systems and Ergodic Theory, Mechanical Engineering, Numerical Analysis, Classical Mechanics, Mathematical Modeling and Industrial Mathematics, Theoretical and Applied Mechanics