1st Edition

Cosserat Plate Theory

By Lev Steinberg, Roman Kvasov Copyright 2022
182 Pages 40 B/W Illustrations
by CRC Press

182 Pages 40 B/W Illustrations
by CRC Press

182 Pages 40 B/W Illustrations
by CRC Press

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. Our approach incorporates the high accuracy assumptions of the Cosserat plate deformation consistent with the Cosserat Elasticity equilibrium equations, constitutive formulas, strain-displacement and... Read more

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

Biography

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.