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Finite Rotations in Structural Mechanics

Proceedings of the Euromech Colloquium 197, Jabłonna, Poland, 1985

  • Conference proceedings
  • © 1986

Overview

Editors:
  1. Wojciech Pietraszkiewicz

    1. Institute of Fluid-Flow Machinery of the Polish Academy of Sciences, Gdańsk, Poland

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Part of the book series: Lecture Notes in Engineering (LNENG, volume 19)

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Table of contents (27 papers)

  1. Front Matter

    Pages I-XII
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  2. Intrinsic Shell-Theory Formulation Effective for Large Rotations and an Application

    • E. L. Axelrad, F. A. Emmerling
    Pages 1-18

  3. On Geometrically Non-Linear Theory of Elastic Shells Derived from Pseudo-Cosserat Continuum with Constrained Micro-Rotations

    • J. Badur, W. Pietraszkiewicz
    Pages 19-32

  4. Some Mathematical Results Related to Nonlinear Thin Shell Problems

    • M. Bernadou
    Pages 33-46

  5. Postcritical Deformations of Meridional Cross-Section of Elastic Toroidal Shells Subject to External Pressure

    • Jan Bielski
    Pages 47-61

  6. The Complementary Energy Principle in Finite Elastostatics as a Dual Problem

    • W. R. Bielski, J. J. Telega
    Pages 62-81

  7. Finite Rotations and Complementary Extremum Principles

    • H. Bufler
    Pages 82-100

  8. Deformation of the Shell Boundary

    • K. F. Chernykh
    Pages 101-110

  9. Comparison of Numerical Results for Nonlinear Finite Element Analysis of Beams and Shells Based on 2-D Elasticity Theory and on Novel Finite Rotation Theories for Thin Structures

    • J. Chróścielewski, R. Schmidt
    Pages 111-120

  10. Fundamental Equations and Extremum Principles in the Theory of Thin Shells

    • R. De Boer, W. Walther
    Pages 121-130

  11. Inhomogeneity and Rotation

    • Marcelo Epstein
    Pages 131-135

  12. On a General Theory of Large Rotations and Small Strain with Application to Three-Dimensional Beam Structures

    • Th. Hinkelmann, G. Lumpe, H. Rothert
    Pages 136-147

  13. Finite Displacement Theory of Naturally Curved and Twisted Beams with Finite Rotations

    • M. Iura
    Pages 148-157

  14. Higher-Order Moderate Rotation Theories for Elastic Anisotropic Plates

    • Liviu Librescu, Rüdiger Schmidt
    Pages 158-174

  15. Finite Strains and Rotations in Shells

    • J. Makowski, H. Stumpf
    Pages 175-194

  16. Theory of Thin-Walled Elastic Beams with Finite Displacements

    • H. Møllmann
    Pages 195-209

  17. One-Dimensional Finite Rotation Shell Problems in Displacement Formulation

    • L.-P. Nolte
    Pages 210-223

  18. On the Derivation and Efficient Computation of Large Rotation Shell Models

    • L.-P. Nolte
    Pages 224-238

  19. Rotations as Primary Unknowns in the Nonlinear Theory of Shells and Corresponding Finite Element Models

    • L. Recke, W. Wunderlich
    Pages 239-258

  20. Polar Decomposition and Finite Rotation Vector in First — Order Finite Elastic Strain Shell Theory

    • R. Schmidt
    Pages 259-271
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Keywords

About this book

The deformation near a material particle of the classical continuum is produced by successive superposition of a rigid-body translation, a pure stretch along principal directions of strain and a rigid-body ro­ tation of those directions. The rotational part of deformation is par­ ticularly important in the non-linear analysis of thin-walled solid structures such as ~eams, thin-walled bars, plates and shells, since in this case finite rotations may appear even if the strains are infinite­ simal. It seems that the research concerning the application of finite ro­ tations is carried out independently in different fields of structural mechanics. Theoretical and numerical methods developed and the results obtained for a particular type of the structure or for a particular ma­ terial behaviour not always are used to analyse similar problems for other types of structures or for another material behaviour. Since the research in this field had been growing rapidly, it was decided to organize an informal international meeting, under the auspi­ ces of the European Mechanics Co~mittee, entitled: Euromech Colloquium 197 "Finite Rotations in Structural Mechanics". The meeting was held on 17 - 20 September 1985 in Jablonna, a small suburbian area of Warsaw.

Editors and Affiliations

  • Institute of Fluid-Flow Machinery of the Polish Academy of Sciences, Gdańsk, Poland

    Wojciech Pietraszkiewicz

Bibliographic Information

  • Book Title: Finite Rotations in Structural Mechanics

  • Book Subtitle: Proceedings of the Euromech Colloquium 197, Jabłonna, Poland, 1985

  • Editors: Wojciech Pietraszkiewicz

  • Series Title: Lecture Notes in Engineering

  • DOI: https://doi.org/10.1007/978-3-642-82838-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1986

  • Softcover ISBN: 978-3-540-16737-2Published: 01 August 1986

  • eBook ISBN: 978-3-642-82838-6Published: 12 March 2013

  • Series ISSN: 0176-5035

  • Edition Number: 1

  • Number of Pages: XII, 381

  • Topics: Classical Mechanics, Civil Engineering

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