Cosserat Plate Theory by Lev Steinberg Roman Kvasov 1000608107 9781000608106

Cosserat Plate Theory Lev Steinberg Roman Kvasov – Ebook PDF Instant Download/Delivery ISBN(s): 9781000608106, 1000608107

Product details:

• ISBN 10: 1000608107
• ISBN 13:9781000608106
• Author:Lev Steinberg Roman Kvasov

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 torsion-microrotation relations. The Cosserat Plate Theory is parametric, where the “splitting parameter” minimizes the Cosserat plate energy. The validation of the theory is based on the comparison with the three-dimensional Cosserat Elastostatics and Elastodynamics. The numerical results are obtained using the Finite Element Method (FEM) specifically developed to solve the parametric system of equations. The analysis of deformation of a variety of Cosserat plates shows the stress concentration reduction, higher stiffness of Cosserat plates, and the size-effect related to the microstructure. The analysis of vibration of Cosserat plates predicts size-related properties of the plate vibration, the existence of the additional so-called Cosserat plate resonances, and the dynamic anisotropy, related to the dependency of the resonances on the microelement’s shapes and orientations.

Table contents:

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

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