IUTAM Symposium on Relations of Shell, Plate, Beam and 3D Models

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.

Résumé
During its 2004 meeting in Warsaw the General Assembly of the International Union of Theoretical and Applied Mechanics (IUTAM) decided to support a proposal of the Georgian National Committee to hold in Tbilisi (Georgia), on April 2327, 2007, the IUTAM Symposium on the Relation of Shell, Plate, Beam, and 3D Models, dedicated to the Centenary of Ilia Vekua. The sci- ti?c organization was entrusted to an international committee consisting of Philipppe G. Ciarlet (Hong Kong), the late Anatoly Gerasimovich Gorshkov (Russia),JornHansen(Canada),GeorgeV.Jaiani(Georgia,Chairman),Re- hold Kienzler (Germany), Herbert A. Mang (Austria), Paolo Podio-Guidugli (Italy), and Gangan Prathap (India). The main topics to be included in the scienti?c programme were c- sen to be: hierarchical, re?ned 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. The main aim of the symposium was to thoroughly discuss the relations of shell, plate, and beam models to the 3D physicalmodels.Inparticular,peculiaritiesofcuspedshells,plates,andbeams were to be emphasized and special attention paid to junction, multibody and ?uid-elastic shell (plate, beam) interaction problems, and their applications. The expected contributions of the invited participants were anticipated to be theoretical, practical, and numerical in character.

Contenu

An Asymptotic Method for Solving Three-Dimensional Boundary Value Problems of Statics and Dynamics of Thin Bodies.- Multiscale Assessment of Low-Temperature Performance of Flexible Pavements.- On the Different Possibilities to Derive Plate and Shell Theories.- The Determination of Linear Frequencies of Bending Vibrations of Ferromagnetic Shell by Exact Space Treatment.- Stability of a Rectangular Plate Capable of Transverse Shear Deformations.- On a Problem of Thermal Stresses in the Theory of Cosserat Elastic Shells with Voids.- Vibration of an Elastic Plate Under the Action of an Incompressible Fluid.- Some Remarks on Anisotropic Singular Perturbation Problems.- On the Variational Derivation of the Kinematics for Thin-Walled Closed Section Beams.- Variational Dimension Reduction in Nonlinear Elasticity: A Young Measure Approach.- Joint Vibrations of a Rectangular Shell and Gas in It.- On Physical and Mathematical Moments and the Setting of Boundary Conditions for Cusped Prismatic Shells and Beams.- Material Conservation Laws Established Within a Consistent Plate Theorie.- A Small-Parameter Method for I. Vekua's Nonlinear and Nonshallow Shells.- The Extension and Application of the Hierarchical Beam Theory to Piezoelectrically Actuated Beams.- Validation of Classical Beam and Plate Models by Variational Convergence.- On the Simulation of Textile Reinforced Concrete Layers by a Surface-Related Shell Formulation.- The Contact Problems of the Mathematical Theory of Elasticity for Plates with an Elastic Inclusion.- On the Basic Systems of Equations of Continuum Mechanics and Some Mathematical Problems for Anisotropic Thin-Walled Structures.