Advanced Structured Materials

Transcription

1 Advanced Structured Materials Volume 94 Series editors Andreas Öchsner, Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, Esslingen am Neckar, Germany Lucas F. M. da Silva, Department of Mechanical Engineering, University of Porto, Porto, Portugal Holm Altenbach, Lehrstuhl für Technische Mechanik, Institut für Mechanik, Fakultät für Maschinenbau, Otto-von-Guericke-Universität, Magdeburg, Germany

2 Common engineering materials reach in many applications their limits and new developments are required to fulfil increasing demands on engineering materials. The performance of materials can be increased by combining different materials to achieve better properties than a single constituent or by shaping the material or constituents in a specific structure. The interaction between material and structure may arise on different length scales, such as micro-, meso- or macroscale, and offers possible applications in quite diverse fields. This book series addresses the fundamental relationship between materials and their structure on the overall properties (e.g. mechanical, thermal, chemical or magnetic etc.) and applications. The topics of Advanced Structured Materials include but are not limited to classical fibre-reinforced composites (e.g. class, carbon or Aramid reinforced plastics) metal matrix composites (MMCs) micro porous composites micro channel materials multilayered materials cellular materials (e.g. metallic or polymer foams, sponges, hollow sphere structures) porous materials truss structures nanocomposite materials biomaterials nano porous metals concrete coated materials smart materials Advanced Structures Material is indexed in Google Scholar and Scopus. More information about this series at

3 Igor V. Andrianov Arkadiy I. Manevich Yuri V. Mikhlin Oleg V. Gendelman Editors Problems of Nonlinear Mechanics and Physics of Materials 123

4 Editors Igor V. Andrianov Institut für Allgemeine Mechanik RWTH Aachen University Aachen Germany Arkadiy I. Manevich Department of Theoretical and Computational Mechanics Dnepropetrovsk National University Dnipro Ukraine Yuri V. Mikhlin Department of Applied Mathematics National Technical University Kharkov Ukraine Oleg V. Gendelman Faculty of Mechanical Engineering Technion Israel Institute of Technology Haifa Israel ISSN ISSN (electronic) Advanced Structured Materials ISBN ISBN (ebook) Library of Congress Control Number: Springer International Publishing AG, part of Springer Nature 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

5 This book is dedicated to Professor Leonid I. Manevitch On the occasion of His 80th birthday

6 Preface This volume is a collection of papers contributed by colleagues and disciples as a tribute to eminent scientist, Prof. Leonid Isakovich Manevitch on the occasion of his 80th birthday. The researches of Prof. Manevitch cover various fields of mechanics and physics, in particular, Mechanics of Solids, Nonlinear Dynamics, Polymer Materials and Nanostructures, Condensed Matter Mechanics and Physics (L. I. Manevitch s scientific achievements are outlined in the Appendix to this volume). Working as a Professor at Dnepropetrovsk University (Ukraine) and later as a Researcher and Head of Laboratory of Polymer Physics and Mechanics in N. N. Semenov Institute of Chemical Physics in Moscow, he brought up many pupils and created well-known and highly branched scientific school that made a significant contribution to the aforementioned fields of science. This book contains articles by well-known scientists who actively work in the fields where Prof. Manevitch was very active over almost six decades. Geographically, this volume covers researches from Canada, France, Germany, Israel, Italy, Poland, Russia, Ukraine, UK, and USA. It includes 27 articles divided into the following sections: I. Stationary and nonstationary dynamics of oscillators and oscillatory chains; II. Molecular dynamics of polymer crystals and nanostructures; III. Condensed matter mechanics and physics; IV. Theory of beams, plates, and shells; V. Theory of elasticity and thermo-elasticity. Appendix contains short survey of scientific achivements of L. Manevitch, prepared by I. Andrianov, O. Gendelman, A. Manevich, Yu. Mikhlin and V. Smirnov. vii

7 viii Preface We believe that this Festschrift will be of great interest to researchers and practitioners in the abovementioned areas. Köln, Germany Haifa, Israel Dnepr, Ukraine Kharkov, Ukraine Igor V. Andrianov Oleg V. Gendelman Arkadiy I. Manevich Yuri V. Mikhlin

8 Contents Part I Stationary and Non-stationary Dynamics of Oscillators and Oscillatory Chains Wide Frequency Higher-Order Dynamic Model for Transient Waves in a Lattice... 3 Igor V. Andrianov, Vladyslav V. Danishevskyy, Julius D. Kaplunov and Bernd Markert Analysis of the Beating States in the System of Nonlinearly Coupled Parametrically Forced Oscillators V. Kislovsky and Y. Starosvetsky Is Energy Localization Possible in the Conditions of Non-local Acoustic Vacuum? Irina P. Koroleva (Kikot) and Leonid I. Manevitch Phase Dynamics of Intrinsic Localized Modes in Two Weakly Coupled Nonlinear Chains and Correspondence Between Periodic Tunneling of Classical and Quantum Objects Yuriy A. Kosevich Non-linear Beatings as Non-stationary Synchronization of Weakly Coupled Autogenerators Margarita A. Kovaleva, Leonid I. Manevitch and Valery N. Pilipchuk Normal Modes of Chaotic Vibrations and Transient Normal Modes in Nonlinear Systems Yuri V. Mikhlin, Katarina Yu. Plaksiy, Tatyana V. Shmatko and Gayane V. Rudneva Advanced Nonlinear System Identification for Modal Interactions in Nonlinear Structures: A Review K. J. Moore, A. Mojahed, M. Kurt, M. Eriten, D. M. McFarland, L. A. Bergman and A. F. Vakakis ix

9 x Contents Non-smooth Spatial and Temporal Substitutions in Impact Dynamics Valery N. Pilipchuk Revolution of Pendula: Rotational Dynamics of the Coupled Pendula Valeri V. Smirnov Plane Motion of a Rigid Body Suspended on Nonlinear Spring-Damper Roman Starosta, Grażyna Sypniewska-Kamińska and Jan Awrejcewicz Part II Molecular Dynamics of Polymer Crystals and Nanostructures Supermolecular Structure Formation During Electrospinning, and Its Effect on Electrospun Polymer Nanofiber Unique Features Arkadii Arinstein Recent Developments in Theory and Modeling of Polymer-Based Nanocomposites Valeriy V. Ginzburg B$A Transition in a Short DNA Molecule Natalya A. Kovaleva and Elena A. Zubova 2D Chain Models of Nanoribbon Scrolls Alexander V. Savin and Mikhail A. Mazo Interaction Between DNA Molecule and Nanosize Pore Robert A. Turusov Part III Condensed Matter Mechanics and Physics Wave-Particle Duality and Quantum-Classical Analogy Leonid I. Manevitch Molecular Simulation of Plastic Deformation of Oligomer Systems Mikhail A. Mazo, Ivan A. Strelnikov, N. K. Balabaev and Alexander A. Berlin Plastic Deformation in Disordered Solids: The State of the Art and Unresolved Problems Eduard F. Oleinik, Mikhail A. Mazo, Michael I. Kotelyanskii, Sergey N. Rudnev and Olga B. Salamatina Shockwaves and Kinks in Exothermic Nonlinear Chains Itzik B. Shiroky and Oleg V. Gendelman

10 Contents xi Part IV Theory of Beams, Plates and Shells Local Buckling of Cylindrical Shells. Pogorelov s Geometrical Method A. Yu. Evkin Stretching of Reinforced Orthotropic Plate S. Koblik Features of Deformation of Smooth and Stringer Cylindrical Shells at Axial Compression and Statistical Properties of Their Critical Loads Vasiliy L. Krasovsky Discontinuities in Viscoelastic Timoshenko Beam Under Moving Concentrated Loads Arkadiy I. Manevich Part V Theory of Elasticity and Thermo-elasticity Analytical Study of a Nonlinear Beam Including a Piezoelectric Patch V. Guillot, A. Ture Savadkoohi and C.-H. Lamarque On Higher Order Effective Boundary Conditions for a Coated Elastic Half-Space Julius Kaplunov, Danila Prikazchikov and Leyla Sultanova Electrically Plane and Mechanically Antiplane Problem for an Inclusion with Stepwise Rigidity Between Piezoelectric Materials Vladimir V. Loboda, Anna G. Kryvoruchko and Alla Ye. Sheveleva Thermomechanical Coupling and Transient to Steady Global Dynamics of Orthotropic Plates Valeria Settimi and Giuseppe Rega Appendix: Professional Life of Professor Leonid Isakovich Manevitch

11 Contributors Igor V. Andrianov Institute of General Mechanics, RWTH Aachen University, Aachen, Germany Arkadii Arinstein Department of Mechanical Engineering, Technion, Israel Institute of Technology, Haifa, Israel Jan Awrejcewicz Department of Automatics, Biomechanics and Mechatronics, Łódź University of Technology, Łódź, Poland N. K. Balabaev Institute of Mathematical Problems of Biology, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Pushchino, Moscow Region, Russia L. A. Bergman University of Illinois, Urbana, IL, USA Alexander A. Berlin N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia Vladyslav V. Danishevskyy Department of Structural Mechanics and Strength of Materials, Prydniprovska State Academy of Civil Engineering and Architecture, Dnipro, Ukraine M. Eriten University of Wisconsin-Madison, Madison, WI, USA A. Yu. Evkin Software for Structures, Toronto, Canada Oleg V. Gendelman Faculty of Mechanical Engineering, Technion, Haifa, Israel Valeriy V. Ginzburg Dow Chemical Company, Midland, MI, USA V. Guillot University Lyon, ENTPE, Vaulx-en-Velin, rue Maurice Audin, France Julius D. Kaplunov School of Computing and Mathematics, Keele University, Keele, Staffordshire, UK xiii

12 xiv Contributors V. Kislovsky Faculty of Mechanical Engineering, Technion Israel Institute of Technology, Technion City, Haifa, Israel S. Koblik Indianapolis, IN, USA Irina P. Koroleva (Kikot) Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia Yuriy A. Kosevich Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia; Plekhanov Russian University of Economics, Moscow, Russia Michael I. Kotelyanskii Rudolph Technologies Inc., Mount Olive, NJ, USA Margarita A. Kovaleva Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia Natalya A. Kovaleva N. N. Semenov Institute of Chemical Physics, Moscow, Russia Vasiliy L. Krasovsky Pridneprovskaja State Academy of Civil Engineering and Architecture, Dnipro, Ukraine Anna G. Kryvoruchko Department of Theoretical and Computational Mechanics, Oles Honchar Dnipro National University, Dnipro, Ukraine M. Kurt Stevens Institute of Technology, Hoboken, NJ, USA C.-H. Lamarque University Lyon, ENTPE, Vaulx-en-Velin, rue Maurice Audin, France Vladimir V. Loboda Department of Theoretical and Computational Mechanics, Oles Honchar Dnipro National University, Dnipro, Ukraine Arkadiy I. Manevich Dniepr National University, Dniepr, Ukraine Leonid I. Manevitch Department Polymer and Composite Materials, Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia Bernd Markert Institute of General Mechanics, RWTH Aachen University, Aachen, Germany Mikhail A. Mazo Department Polymer and Composite Materials, N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia D. M. McFarland University of Illinois, Urbana, IL, USA; Zhejiang University of Technology, Hangzhou, Zheijiang, China Yuri V. Mikhlin Kharkiv Polytechnic Institute, National Technical University, Kharkiv, Ukraine A. Mojahed University of Illinois, Urbana, IL, USA K. J. Moore University of Illinois, Urbana, IL, USA

13 Contributors xv Eduard F. Oleinik Department Polymer and Composite Materials, Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia Valery N. Pilipchuk Wayne State University, Detroit, MI, USA Katarina Yu. Plaksiy Kharkiv Polytechnic Institute, National Technical University, Kharkiv, Ukraine Danila Prikazchikov School of Computing and Mathematics, Keele University, Keele, UK Giuseppe Rega Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome, Italy Sergey N. Rudnev Department Polymer and Composite Materials, Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia Gayane V. Rudneva Kharkiv Polytechnic Institute, National Technical University, Kharkiv, Ukraine Olga B. Salamatina Department Polymer and Composite Materials, Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia Alexander V. Savin Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia Valeria Settimi Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome, Italy Alla Ye. Sheveleva Department of Computational Mathematics, Oles Honchar Dnipro National University, Dnipro, Ukraine Itzik B. Shiroky Faculty of Mechanical Engineering, Technion, Haifa, Israel Tatyana V. Shmatko Kharkiv Polytechnic Institute, National Technical University, Kharkiv, Ukraine Valeri V. Smirnov Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia Roman Starosta Poznan University of Technology, Institute of Applied Mechanics, Poznań, Poland Y. Starosvetsky Faculty of Mechanical Engineering, Technion Israel Institute of Technology, Technion City, Haifa, Israel Ivan A. Strelnikov N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia Leyla Sultanova School of Computing and Mathematics, Keele University, Keele, UK Grażyna Sypniewska-Kamińska Poznan University of Technology, Institute of Applied Mechanics, Poznań, Poland

14 xvi Contributors A. Ture Savadkoohi University Lyon, ENTPE, Vaulx-en-Velin, rue Maurice Audin, France Robert A. Turusov Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia A. F. Vakakis University of Illinois, Urbana, IL, USA Elena A. Zubova N. N. Semenov Institute of Chemical Physics, Moscow, Russia