Cosserat Plate Theory

This book presents the foundation and validation of the Cosserat Plate Theory, numerical experiments of deformation and...
$245.18 AUD
$245.18 AUD
SKU: 9781032040233
Product Type: Books
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Author: Lev Steinberg
Format: Hardcover
Language: English
Subtotal: $245.18
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Cosserat Plate Theory by Steinberg, Lev

Cosserat Plate Theory

$245.18

Cosserat Plate Theory

$245.18
Author: Lev Steinberg
Format: Hardcover
Language: English

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.



Author: Lev Steinberg, Roman Kvasov
Publisher: CRC Press
Published: 09/15/2022
Pages: 160
Binding Type: Hardcover
Weight: 0.80lbs
Size: 8.50h x 5.50w x 0.50d
ISBN: 9781032040233

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