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, 2007George Jaiani, Paolo Podio-Guidugli 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. |
Contents
An Asymptotic Method for Solving ThreeDimensional | 1 |
Multiscale Assessment of LowTemperature Performance | 21 |
On the Different Possibilities to Derive Plate and Shell | 37 |
Stability of a Rectangular Plate Capable of Transverse Shear | 59 |
Vibration of an Elastic Plate Under the Action of | 77 |
Some Remarks on Anisotropic Singular Perturbation | 91 |
On the Variational Derivation of the Kinematics | 101 |
Joint Vibrations of a Rectangular Shell and Gas in | 123 |
Material Conservation Laws Established Within a Consistent | 147 |
The Extension and Application of the Hierarchical Beam | 167 |
On the Simulation of Textile Reinforced Concrete Layers | 189 |
On the Basic Systems of Equations of Continuum | 207 |
Other editions - View all
IUTAM Symposium on Relations of Shell, Plate, Beam and 3D Models ... George Jaiani,Paolo Podio-Guidugli No preview available - 2008 |
IUTAM Symposium on Relations of Shell, Plate, Beam and 3D Models ... George Jaiani,Paolo Podio-Guidugli No preview available - 2010 |
Common terms and phrases
3D Models Aghalovyan Akad analytic functions anisotropic applied approximation asphalt asymptotic beam bending bitumen boundary conditions boundary layer boundary value problem considered continuum coordinates corresponding Cosserat shells cross section cross-section cusped edge cylindrical deformation denote differential equations displacement vector elastic plate elliptic energy equilibrium formulation Georgian homogeneous Ilia Vekua integral IUTAM Symposium Jaiani Kármán kinematical linear load Math Mathematical Mech mechanics method multiscale Nauk Gruz Nauk SSSR nonlinear obtained parameters plane plate theory plates and shells Podio-Guidugli eds Relations of Shell Russian Science+Business Media B.V. shear shell theory solution Soobshch Springer Science+Business Media strain tensor stress tensor structural surface Symposium on Relations Tbilisi State University temperature theory of elasticity thickness thin thin-walled three-dimensional tions transverse two-dimensional upscaling variables vibrations viscoelastic Young measures მყ