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This book is an essential guide to constructing asymptotic models and mathematical methods to correctly identify the mechanical behaviour of composites. It provides methodology for predicting and evaluating composite behaviour in various structures, leading to accurate mathematical and physical assessments.
List of contents
1. Introduction. 2. Mathematical Approaches. 3. Three Phase Composite Model. 4. Lubrication Approach. 5. Using of Asymptotically Equivalent Functions for Analysis of Composite Structures. 6. Construction of Corrections to the Maxwell Formula.
About the author
Igor Andrianov is currently at RWTH Aachen University, Germany, and has 25 years of experience in mathematics, applied mechanics and mechanics of solids. His research interests include asymptotic approaches, nonlinear dynamics, composite materials, and theory of plates and shells.
Jan Awrejcewicz is Head of the Department of Automation, Biomechanics and Mechatronics at Lodz University of Technology. His research interests lie in the area of mechanics, materials science, biomechanics, applied mathematics, with a main focus of nonlinear processes. He is author of over 1,000 papers and 55 books. He is Editor-in-Chief of 3 international journals and member of the Editorial Boards of 90 international journals.
Galina Starushenko gained her Ph.D. in Structural Mechanics. She is now Professor of Information Technology and Information Systems at Dnipro University of Technology, Ukraine. She has 38 years of research experience in applied mathematics and solid mechanics. Her research interests include asymptotic approaches and composite materials.
Summary
This book is an essential guide to constructing asymptotic models and mathematical methods to correctly identify the mechanical behaviour of composites. It provides methodology for predicting and evaluating composite behaviour in various structures, leading to accurate mathematical and physical assessments.