Cosserat Plate Theory

This book presents the foundation and validation of the Cosserat Plate Theory, numerical experiments of deformation and vibration, and the unique properties of the Cosserat plates. It incorporates comparison with three-dimensional Cosserat elastodynamics.

Autorentext

Roman Kvasov is a professor of Mathematics at the University of Puerto Rico at Aguadilla, USA. He is an expert in Scientific Computing and the Finite Element Method and an active researcher in the area of Cosserat Plates and Mathematical Modeling. His research has been published in such prestigious journals as Applied Mathematics, Thin-Walled Structures, Modelling and Simulation in Engineering and the chapter in the book "Dynamical Systems Theory".

Dr. Lev Steinberg is a professor of Mathematics at the University of Puerto Rico at Mayagüez. His academic, scientific, and industrial background includes advising of graduate students, research in Mathematical Modelling, experience at Sandia National Laboratories and US Naval Warfare Centers. Most of his work is related to the Continuum Mechanics, Solids with Complex Microstructures, and Inverse Problems. He is the author and co-author of dozens of patents and research publications in Applied Differential Equation and Applied Mechanics.

Inhalt

1. Cosserat Elasticity. 2. Analysis of Cosserat Sample Bodies. 3. Cosserat Plate Statics. 4. Cosserat Plate Dynamics. 5. Validation of the Cosserat Plate Theory. 6. Finite Element Method for Cosserat Plates. 7. Validation of the Finite Element Computation. 8. Unique Properties of Cosserat Plates.