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Cosserat Plate Theory
Engelsk
Bogcover for Cosserat Plate Theory af Lev Steinberg, Roman Kvasov, 9781032040233
Specifikationer
Sprog:
Engelsk
Sider:
160
ISBN-13:
9781032040233
Indbinding:
Hardback
ISBN-10:
1032040238
Kategori:
Udg. Dato:
15 sep 2022
Størrelse i cm:
14,4 x 22,2 x 1,7
Oplagsdato:
15 sep 2022
Forfatter(e):

Cosserat Plate Theory

Engelsk
Hardback 2022
Format:

Bog beskrivelse

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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Specifikationer
Sprog:
Engelsk
Sider:
160
ISBN-13:
9781032040233
Indbinding:
Hardback
ISBN-10:
1032040238
Kategori:
Udg. Dato:
15 sep 2022
Størrelse i cm:
14,4 x 22,2 x 1,7
Oplagsdato:
15 sep 2022
Forfatter(e):
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