Problems of Nonlinear Mechanics and Physics of Materials

This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France. The book is dedica

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Igor V. Andrianov · Arkadiy I. Manevich Yuri V. Mikhlin · Oleg V. Gendelman Editors

Problems of Nonlinear Mechanics and Physics of Materials

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

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 http://www.springer.com/series/8611

Igor V. Andrianov Arkadiy I. Manevich Yuri V. Mikhlin Oleg V. Gendelman •



Editors

Problems of Nonlinear Mechanics and Physics of Materials

123

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 1869-8433 ISSN 1869-8441 (electronic) Advanced Structured Materials ISBN 978-3-319-92233-1 ISBN 978-3-319-92234-8 (eBook) https://doi.org/10.1007/978-3-319-92234-8 Library of Congress Control Number: 2018941999 © 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