IUTAM Symposium on Relations of Shell, Plate, Beam and 3D Models: Proceedings of the IUTAM Symposium on the Relations of Shell, Plate, Beam, and 3D Models Dedicated to the Centenary of Ilia Vekua's Birth, held Tbilisi, Georgia, April 23-27, 2007 / Edition 1

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More About This Textbook


This proceedings volume contains papers on the main topics reflecting the scientific programme of the symposium: hierarchical, refined mathematical and technical models of shells, plates, and beams; relation of 2D and 1D models to 3D linear, non-linear and physical models; junction problems. In particular, peculiarities of cusped shells, plates, and beams are emphasized and special attention is paid to junction, multibody and fluid-elastic shell (plate, beam) interaction problems and their applications.

The contributions are theoretical, practical, and numerical in character.This volume is dedicated to Ilia Vekua on the centenary of his birth.

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Product Details

  • ISBN-13: 9781402087738
  • Publisher: Springer Netherlands
  • Publication date: 10/28/2008
  • Series: IUTAM Bookseries (closed) Series, #9
  • Edition description: 2008
  • Edition number: 1
  • Pages: 222
  • Product dimensions: 6.20 (w) x 9.30 (h) x 0.80 (d)

Table of Contents

Editorial Preface; G. Jaiani: Ilia Vekua; Main Publications of Ilia Vekua; PAPERS: L. Aghalovyan: An Asymptotic Method of Solving Three-Dimensional Boundary Value Problems of Statics and Dynamics of Thin Bodies; E. Aigner, R. Lackner, M. Spiegl, M. Wistuba, R. Blab, H. Mang: Multiscale Assessment of Low-temperature Performance of Flexible Pavements; H. Altenbach, J. Meenen: On the Different Possibilities to Derive Plate and Shell Theories; A.G. Bagdoev, A.V. Vardanyan, S.V. Vardanyan: The Determination of Linear Frequencies of Bending Vibrations of Ferromagnetic Shell by Exact Space Treatment; V.M. Belubekyan: Stability of a Rectangular Plate with Account of Transverse Shear Deformations; M. Birsan: On a Problem of Thermal Stresses in the Theory of Cosserat Elastic Shells with Voids; N. Chinchaladze: Vibration of an Elastic Plate Under the Action of an Incompressible Fluid; M. Chipot: Some Remarks on Anisotropic Singular Perturbation Problems; L. Freddi, A. Morassi, R. Paroni: On the Variational Derivation of the Kinematics for Thin-Walled Closed Section Beams; L. Freddi, R. Paroni. Variational Dimension Reduction in Nonlinear Elasticity: a Young Measure Approach; E. Gavrilova: Joint Vibrations of a Rectangular Shell and Gas in It; G. Jaiani: Physical and Mathematical Moments and Analysis of Peculiarities of Setting of Boundary Conditions for Cusped Prismatic Shells and Beams; R. Kienzler, D. K. Bose: Material Conservation Laws Established Within a Consistent Plate Theory; T. Meunargia: The Method of a Small Parameter for I. Vekua's Nonlinear And Non-Shallow Shells; DCD. Oguamanam, C. McLean, J.S. Hansen: The Extension and Application of the Hierarchical Beam Theory to Piezoelectrically Actuated Beams; P. Podio-Guidugli: Validation of Classical Beam and Plate Models by Variational Convergence; R. Schlebusch, B.W. Zastrau: On the Simulation of Textile Reinforced Concrete Layers by a Surface-Related Shell Formulation; N. Shavlakadze: The Contact Problems of the Mathematical Theory of Elasticity for Plates with an Elastic Inclusion; T. Vashakmadze: On Basic Systems of Equations of Continuum Mechanics and Some Mathematical Problems for Anisotropic Thin-Walled Structures; List of Participants.

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