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Cosserat Plate Theory (Hardcover)
Loot Price: R1,521
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Cosserat Plate Theory (Hardcover)
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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.
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