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Shell and Membrane Theories in Mechanics and Biology

From Macro- to Nanoscale Structures

  • Book
  • © 2015

Overview

Editors:
  1. Holm Altenbach

    1. Lehrstuhl für Technische Mechanik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

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  2. Gennadi I. Mikhasev

    1. Department of Bio- and Nanomechanics, Belarusian State University, Minsk, Belarus

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    You can also search for this editor in PubMed   Google Scholar

  • Presents the latest results related to shell and membrane theories in mechanics and biology
  • Offers a deeper understanding of the material behavior used in shell structures
  • Shows new trends with respect to applications in mechanical, civil and aero-space engineering, as well as in new branches like medicine and biology
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 45)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xi
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  2. On Some Classes of 3D Boundary-Value Problems of Statics and Dynamics of Plates and Shells

    • Lenser A. Aghalovyan
    Pages 1-23

  3. On the Theories of Plates and Shells at the Nanoscale

    • Holm Altenbach, Victor A. Eremeyev
    Pages 25-57

  4. Chaotic Vibrations of Conical and Spherical Shells and Their Control

    • Jan Awrejcewicz, Vadim A. Krysko
    Pages 59-80

  5. Nonclassical Shell Theories in Ocular Biomechanics

    • Svetlana M. Bauer, Eva B. Voronkova
    Pages 81-97

  6. Linear Oscillations of Suspended Graphene

    • Igor Berinskii, Anton Krivtsov
    Pages 99-107

  7. On Discrete-Kirchhoff Plate Finite Elements: Implementation and Discretization Error

    • Boštjan Brank, Adnan Ibrahimbegović, Uroš Bohinc
    Pages 109-131

  8. Shell Theory-Based Estimation of Local Elastic Characteristics of Biological Cells

    • Elizaveta S. Drozd, Gennadi I. Mikhasev, Marina G. Botogova, Sergei A. Chizhik, Maria E. Mychko
    Pages 133-146

  9. On the Direct Approach in the Theory of Second Gradient Plates

    • Victor A. Eremeyev, Holm Altenbach
    Pages 147-154

  10. A Shell Theory for Carbon Nanotube of Arbitrary Chirality

    • Antonino Favata, Paolo Podio-Guidugli
    Pages 155-167

  11. Finite Axisymmetric Deformation of an Inflatable Anisotropic Toroidal Membrane

    • Sergei B. Filippov, Peter E. Tovstik
    Pages 169-186

  12. Simulation of Cardiac Cell-Seeded Membranes Using the Edge-Based Smoothed FEM

    • Ralf Frotscher, Matthias Goßmann, Hans-Jürgen Raatschen, Ayşegül Temiz-Artmann, Manfred Staat
    Pages 187-212

  13. Determining the Modulus of Elasticity for Polymer Materials by Numerical Testing Thin-Walled Double-Layer Circular Shells

    • Sergej Gluhih, Andrejs Kovalovs, Andris Chate
    Pages 213-222

  14. Three-Dimensional Exact Analysis of Functionally Graded Laminated Composite Plates

    • Gennady M. Kulikov, Svetlana V. Plotnikova
    Pages 223-241

  15. Prediction of Eigenfrequencies of the Middle Ear Oscillating System After Tympanoplasty and Stapedotomy

    • Gennadi I. Mikhasev, Irina Slavashevich, Kirill Yurkevich
    Pages 243-265

  16. A New Approach for Studying Nonlinear Dynamic Response of a Thin Fractionally Damped Plate with 2:1 and 2:1:1 Internal Resonances

    • Yury A. Rossikhin, Marina V. Shitikova
    Pages 267-288

  17. On Stability of Inhomogeneous Elastic Cylinder of Micropolar Material

    • Denis N. Sheydakov
    Pages 289-300

  18. A New Approach for Studying Nonlinear Dynamic Response of a Thin Fractionally Damped Cylindrical Shell with Internal Resonances of the Order of \(\varepsilon \)

    • Marina V. Shitikova, Yury A. Rossikhin
    Pages 301-321
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Keywords

About this book

This book presents the latest results related to shells characterize and design shells, plates, membranes and other thin-walled structures, a multidisciplinary approach from macro- to nanoscale is required which involves the classical disciplines of mechanical/civil/materials engineering (design, analysis, and properties) and physics/biology/medicine among others. The book contains contributions of a meeting of specialists (mechanical engineers, mathematicians, physicists and others) in such areas as classical and non-classical shell theories. New trends with respect to applications in mechanical, civil and aero-space engineering, as well as in new branches like medicine and biology are presented which demand improvements of the theoretical foundations of these theories and a deeper understanding of the material behavior used in such structures.

Editors and Affiliations

  • Lehrstuhl für Technische Mechanik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

    Holm Altenbach

  • Department of Bio- and Nanomechanics, Belarusian State University, Minsk, Belarus

    Gennadi I. Mikhasev

Bibliographic Information

  • Book Title: Shell and Membrane Theories in Mechanics and Biology

  • Book Subtitle: From Macro- to Nanoscale Structures

  • Editors: Holm Altenbach, Gennadi I. Mikhasev

  • Series Title: Advanced Structured Materials

  • DOI: https://doi.org/10.1007/978-3-319-02535-3

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-02534-6Published: 22 September 2014

  • Softcover ISBN: 978-3-319-37942-5Published: 22 September 2016

  • eBook ISBN: 978-3-319-02535-3Published: 09 September 2014

  • Series ISSN: 1869-8433

  • Series E-ISSN: 1869-8441

  • Edition Number: 1

  • Number of Pages: XI, 321

  • Number of Illustrations: 71 b/w illustrations, 36 illustrations in colour

  • Topics: Solid Mechanics, Numerical Analysis, Solid Mechanics

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