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  • Book
  • © 2020

Analysis of Shells, Plates, and Beams

A State of the Art Report

  • Commemorates the 75th birthday of Prof. George Jaiani

  • Presents papers on shell theory

  • Covers shells, plates, and beams

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 134)

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Price excludes VAT (USA)
  • ISBN: 978-3-030-47491-1
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  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 219.99
Price excludes VAT (USA)
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Table of contents (24 chapters)

  1. Front Matter

    Pages i-xxxiv
  2. On Static Two-dimensional Models of Thermo-Electro-Magneto-Elastic Shells

    • Gia Avalishvili, Mariam Avalishvili
    Pages 41-64
  3. Some Two-dimensional Non-classical Models of Anisotropic Plates

    • Alexander K. Belyaev, Nikita F. Morozov, Peter E. Tovstik, Tatyana P. Tovstik
    Pages 75-94
  4. Interface Strength Assessments of Sandwich Panels with a Face Sheet/Core Debond

    • Vyacheslav N. Burlayenko, Holm Altenbach, Svetlana D. Dimitrova
    Pages 95-122
  5. Free Vibrations of an Open Non-circular Cylindrical Shell of Variable Thickness

    • Alexander Ya. Grigorenko, Maksym Yu. Borysenko, Olena V. Boychuk, Larisa Ya. Vasil’eva
    Pages 141-154
  6. Coupled, Thermo-elastic, Large Amplitude Vibration of Bi-material Beams

    • Emil Manoach, Simona Doneva, Jerzy Warminski
    Pages 227-242
  7. Effect of Longitudinal Variation of Material Properties in Warping Torsion of FGM Beams

    • Justín Murín, Juraj Hrabovsky, Stephan Kugler, Vladimir Kutiš, Mehdi Aminbaghai
    Pages 243-296
  8. Theory of Flexible Mesh-Type Shallow Kirchhoff-Love Structures Based on the Modified Couple Stress Theory

    • Irina V. Papkova, Nikita Jan Awrejcewicz, Anton V. Krysko, Ekatarina Yu Krylova, Vadim A. Krysko
    Pages 331-344
  9. Buckling of the Nonuniformly Compressed Plate with Dislocations and Disclinations

    • Isa M. Peshkhoev, Alexander M. Stolyar
    Pages 345-366
  10. On Null-Lagrangian Energy and Plate Paradoxes

    • Paolo Podio-Guidugli
    Pages 367-372

About this book

This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams.

Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Keywords

  • Shell and Plate Theory
  • Beams
  • Structural Mechanics
  • State of the Art
  • Mathematical Modelling
  • Partial Differential Equations
  • Solid Mechanics
  • Solid-Fluid Interaction Problems

Editors and Affiliations

  • Chair of Engineering Mechanics, Faculty of Mechanical Engineering, Institute of Mechanics, Otto von Guericke University Magdeburg, Magdeburg, Germany

    Holm Altenbach

  • Institute of Applied Mathematics, Tbilisi State University, Tbilisi, Georgia

    Natalia Chinchaladze

  • FB 4 / FG 15 / IW 3, Universität Bremen, Bremen, Germany

    Reinhold Kienzler

  • Institut für Mechanik, MS2, TU Berlin, Berlin, Germany

    Wolfgang H. Müller

About the editors

Prof. Dr.-Ing. habil. Dr. h. c. mult Holm Altenbach is a member of the International Association of Applied Mathematics and Mechanics (GAMM), a Foreign Member of the Russian Academy of Sciences; and the International Research Center on Mathematics and Mechanics of Complex Systems (M&MoCS), Italy. He has held positions at the Otto von Guericke University Magdeburg and at the Martin Luther University of Halle-Wittenberg, both in Germany.
He graduated from Leningrad Polytechnic Institute in 1985 (diploma in Dynamics and Strength of Machines). He defended his Ph.D. in 1983 and was awarded his Doctor of Technical Sciences in 1987, both at the same institute. He is currently a Full Professor of Engineering Mechanics at the Otto von Guericke University Magdeburg, Faculty of Mechanical Engineering, Institute of Mechanics (since 2011), and has been acting as the Director of the Institute of Mechanics since 2015.
His areas of scientific interests are general theory of elastic and inelastic plates and shells, creep and damage mechanics, strength theories, and nano- and micromechanics. He is the Author/Co-Author/Editor of 60 books (textbooks/monographs/proceedings), approximately 380 scientific papers (among them 250 peer-reviewed), and 500 scientific lectures. He is Managing Editor (2004 to 2014) and Editor-in-Chief (2005–to date) of the Journal of Applied Mathematics and Mechanics (ZAMM) – the oldest journal in Mechanics in Germany (founded by Richard von Mises in 1921). He has been Advisory Editor of the journal “Continuum Mechanics and Thermodynamics” since 2011, Associate Editor of the journal “Mechanics of Composites” (Riga) since 2014, and Co-Editor of the Springer Series “Advanced Structured Materials” since 2010.
He was awarded the 1992 Krupp Award (Alexander von Humboldt Foundation); 2000 Best Paper of the Year—Journal of Strain Analysis for Engineering Design; 2003 Gold Medal of the Faculty of Mechanical Engineering, Politechnika Lubelska, Lublin, Poland; 2004 Semko Medal of the National Technical University Kharkov, Ukraine; 2007 Doctor Honoris Causa, National Technical University Kharkov, Ukraine; 2011 Fellow of the Japanese Society for the Promotion of Science; 2014 Doctor Honoris Causa, University Constanta, Romania; 2016 Doctor Honoris Causa, Vekua Institute, Tbilisi, Georgia; 2018 Alexander von Humboldt Award (Poland).

Dr. Natalia Chinchaladze is a life member of the ISAAC (International Society for Analysis, its Applications and Computation), Vice Chair of the Georgian Mechanical Union, Member of the Council of the Georgian Mathematical Union (GMU, from 2013 up to day), she was a Scientific Secretary of GMU (2006-2013). She has held positions at the I. Javakhishvili Tbilisi State University (at the Faculty of Exact and Natural Sciences and at I. Vekua Institute of Applied Mathematics), in Georgia. She graduated from the Tbilisi State University in 1996 (diploma in Mechanics). N. Chinchaladze was awarded the title of Doctor in Physical and Mathematical Sciences in 2003 at the same University. She is currently an Associate Professor of the Faculty of Exact and Natural Sciences at the I. Javakhishvili Tbilisi State University (since 2016) and she has been a vice Director of the I. Vekua Institute of Applied Mathematics since 2012. Her areas of scientific interests are general theory of elastic plates and shells, mathematical modelling, partial differential equations, in particular, boundary value problems for singular elliptic and hyperbolic equations and systems and their applications to the theory of cusped plates and shells. She is the Author/Co-Author of two books (textbooks/monographs), 52 scientific papers, she is the editor of 3 (textbooks/monographs). N. Chinchaladze is a Managing Editor (2002 up to date) of Lecture Notes of TICMI and Bulletin of TICMI (Tbilisi International Centre of Mathematics and Mechanics). She was awarded the Georgian President Scholarship; Vekua Scholarship for Young Scientists (supported by Georgia National Science Foundation); the honorary title for the best scientific paper, selected by the Ministry of Education and Science of Armenia; the honorary title for the best scientific paper, selected by the Ministry of Education and Science of Georgia and Georgian National Science Foundation.

Prof. Dr.-Ing.habil. Dr.h.c. Reinhold Kienzler went to the Technische Hochschule Darmstadt from 1970 to 1976 in order to study civil engineering and obtained his doctoral degree from the Department of Mechanics in 1980. After his dissertation, Reinhold went to Stanford University from 1981 to 1983 as a postdoc with Prof. George Herrmann from the Department of Applied Mechanics. Moreover, from 1983 to 1991, he worked as an engineer at the Fraunhofer Institut für Werkstoffmechanik in Freiburg/Breisgau. These activities sparked his interest in the fundamentals of fracture mechanics and in damage theory of materials and his habilitation was prepared with the focus on these topics. In 1991, he was appointed as a professor of Applied Mechanics at the University of Bremen, where he stayed until his retirement in 2017. He is the author to more than 130 papers in peer-reviewed journals and eight books including four textbooks on Engineering Mechanics. Since 2004 (until 2019), he was the Editor-in-Chief of the journal Archive of Applied Mechanics—one of the oldest German journals in the field of mechanics. For many years, he was (co)-organizer of the workshop series Mechanics of Materials at the Mathematisches Forschungsinstitut Oberwolfach, the German–Greek–Polish Symposium on Recent Advances in Mechanics, and the International Symposium on Defect and Material Mechanics. In 2002, he was Co-Chair of the EUROMECH Colloquium 444 “Critical Review of the Theories of Plates and Shells and New Applications.” He was awarded the Berninghausen-Preis for excellence in teaching at the University of Bremen in 1996. He became an Honorary Member of the Polish Society of Theoretical and Applied Mechanics in 2011 and of the Hellenic Society of Theoretical and Applied Mechanics in 2013. He received a Distinguished Visiting Fellowship Award of the Royal Academy of Engineering, London, in 2013. In 2016, he was awarded an Honorary Doctor by the Ilia Vekua Institute of Applied Mathematics in Tbilisi, Georgia, for his engagement in the promotion of Georgian-German advancement in the sciences.

Prof. Dr. rer. nat. Wolfgang H. Müller is a member of the International Association of Applied Mathematics and Mechanics (GAMM), the American Society of Mechanical Engineers (ASME), and the American Society for the Testing of Materials (ASTM). He held/holds professorial positions at the University of Paderborn, Germany, Heriot-Watt-University, Edinburgh, UK; and at the Technische Universität Berlin, Germany.
He obtained his Diploma in Physics in 1982 and his doctoral degree in Physical Engineering Science in 1986 both at the Technische Universität Berlin, Germany. In 1998 he was habilitated and obtained the venia legend for Engineering Mechanics at the University of Paderborn, Germany. Currently he is Full Professor and Chair of Continuum Mechanics and Constitutive Theory at the Institute of Mechanics of the Technische Universität Berlin. He has been acting initially as the Director and now as the Deputy Director of the Institute of Mechanics in Berlin for far more than 10 years. His areas of scientific interests are continuum physics, constitutive theory, and experimental mechanics, mostly in the field of micro- and nanotechnology. He is the Author/Co-Author/Editor of more than 15 books (textbooks/monographs/proceedings), and of far more than 250 peer-reviewed scientific papers.

Bibliographic Information

  • Book Title: Analysis of Shells, Plates, and Beams

  • Book Subtitle: A State of the Art Report

  • Editors: Holm Altenbach, Natalia Chinchaladze, Reinhold Kienzler, Wolfgang H. Müller

  • Series Title: Advanced Structured Materials

  • DOI: https://doi.org/10.1007/978-3-030-47491-1

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-47490-4

  • Softcover ISBN: 978-3-030-47493-5

  • eBook ISBN: 978-3-030-47491-1

  • Series ISSN: 1869-8433

  • Series E-ISSN: 1869-8441

  • Edition Number: 1

  • Number of Pages: XXXIV, 470

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Solid Mechanics, Mathematical Modeling and Industrial Mathematics

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-47491-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 219.99
Price excludes VAT (USA)
Hardcover Book USD 219.99
Price excludes VAT (USA)