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EbookBell Team
5.0
40 reviewsThis
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.
