Awrejcewicz, J: Nonsmooth Dynamics of Contacting Thermoelast

Preface.-Nomenclature. 1.- Introduction. 1.1.- Object of the Study. 1.2.- Aim and Scope. 2.- Thermoelastic Contact of Shaft and Bush in Wear Regime. 2.1- Analyzed System. 2.2- Mathematical Formulation of the Problem. 2.3- Kinematic External Shaft Excitations. 2.4- External Shaft Mechanical Excitations. 2.5- Dynamics of Contacting Bodies with Impacts. 2.6- Stick-slip Vibrations Friction Model. 3.- Thermoelastic Contact of Parallelepiped Moving Along Walls. 3.1- Kinematically Driven Parallelepiped Rigid Plate. 3.2- Rigid Plate Dynamics Subject to Temperature Perturbation. 3.3- Dynamics of a Two-Degrees-of-Freeom System with Friction and Heat Generation. 3.4- Tribological Dynamical of Vibrations with Thermoelastic Contact. 4.- Contact Characteristics During Braking Process. 4.1- Contact Characteristics of Three-Layer Brake Models. 4.2- Computation of the Contact Characteristics of the Two-Layer Brake model. 4.3- Computation of the Contact Characteristics of the Two Semi-Space Brake Models. 5.- Thermoelastic Contact of Two Moving Layers with Friction and Wear. 5.1- Analyzed System. 5.2- Laplace Transformation. 5.3- Algorithm Transformation. 5.4-Solution Analysis. 5.5- Frictional Thermoelastic Instability. -Bibliography.-Index.

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textbooks, 2 edited volumes, 9 conferences proceedings, 8 journal special issues, and 145 other books, commentaries, or unpublished reports.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.

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)