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Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.
List of contents
The Theory of Simple Elastic Shells.- Geometric Boundary Layers in Shells With Mixed Type.- FEM and Time Stepping Procedures in Non-Linear Dynamics of Flexible Branched Shell Structures.- Dynamic Stiffness Vibration Analysis for Higher Order Plate Models.- Anisotropic Thermo-Creep-Damage in 3D Thick Plate vs. Reissner's Approach.- On a Fast Method for Buckling Load Calculations of Incomplete Ribbed Shells.- Adaptive Wavelet-Algorithms for Inelastic Shells.- On the Effect of Transverse Core Compressibility on the Buckling of Sandwich Shells.- Drape Simulation of Flexible Structures.- Universal Dynamic Theory of Shells.- On Consistent Second-Order Plate Theories.- 2-D Model of Stressed Plate Derived From the 3-D Elasticity Theory Model.- Thickness Flexible Theory With Generalized Core Warping for Plane Sandwich Structures.- On the Finite Element Analysis of Layered Structures With Thin Piezoelectric Actuators and Sensors.- Free Waves in Incoherent Slabs.- Inelastic Behaviour of Stepped Square Plates.- An Assessment of Classical and Refined Plate Theories Derived From the Principle of Virtual Displacements.- Stochastic Finite Element Analysis of Plates. Theory and Application..- On Nonlinear Theory of Rigid-Flexible Shells Without the Kirchhoff Hypotheses.- Shell and Solid Type Finite Element Analysis of Creep in Thin-Walled Structures.- An Asymptotic Model for Long-Wave Symmetric Motion of a Pre-Stressed Incompressible Plate With Fixed Faces.- Construction of the Theory of Piezoelectric Shells and Plates.- Boundary Layers Near the Reflected and Transmitted Dilatational Wave Fronts in a Composite Cylindrical Shell.- On Some Interior and Boundary Effects in Thin Plates Based on the Asymmetric Theory of Elasticity.- On the Numerical Simulation of Thin Textile ReinforcedConcrete Layers for the Strengthening of Shell Structures Using a Surface-Related Shell Theory.- Refined Wave Theories of Plates and Shells.- On Dynamics of Thin Plates With a Periodic Structure.- Critical Review of the Contemporary State of the Theory and Design Methods of Ribbed Plates and Shells.
About the author
Prof. Dr.-Ing. habil. Holm Altenbach lehrt Technische Mechanik an der Otto-von-Guericke-Universität Magdeburg. Seine Forschungsschwerpunkte liegen auf verschiedenen Gebieten der Kontinuumsmechanik (Plattentheorie, Kriechschädigungsmechanik, Mechanik der Komposite).
Summary
Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.
