Cosserat Plate Theory

This book provides a comprehensive overview of the Cosserat Plate Theory,including its foundation, validation, and numerical experiments. It discusses the unique properties of Cosserat plates,such as stress concentration reduction,higher stiffness,and size-effect related to the microstructure. The theory is parametric,with the splitting parameter minimizing the plate energy. The validation is based on comparison with three-dimensional Cosserat Elastostatics and Elastodynamics. Numerical results are obtained using the Finite Element Method (FEM).

Format: Hardback
Length: 160 pages
Publication date: 15 September 2022
Publisher: Taylor & Francis Ltd

This comprehensive book delves into the intricate foundations and rigorous validation of the Cosserat Plate Theory, encompassing a wide range of topics. It begins by presenting the theoretical framework and mathematical equations that underpin this innovative plate theory. Through detailed numerical experiments, the book explores the deformation and vibration characteristics of Cosserat plates, highlighting their unique properties.

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 characterized by its parametric nature, where the splitting parameter is employed to minimize the Cosserat plate energy.

The validation of the theory is based on a thorough comparison with three-dimensional Cosserat Elastostatics and Elastodynamics, ensuring its reliability and validity. The numerical results are obtained using the Finite Element Method (FEM), a specialized technique developed to solve the parametric system of equations.

The analysis of deformation of various Cosserat plates demonstrates the reduction of stress concentration, the enhancement of plate stiffness, and the size-effect related to the microstructure. Furthermore, the book explores the vibration of Cosserat plates, predicting size-related properties, the existence of additional Cosserat plate resonances, and the dynamic anisotropy associated with the dependency of resonances on the microelement shapes and orientations.

This comprehensive work serves as a valuable resource for researchers, engineers, and scholars interested in advancing their understanding of plate mechanics and structural dynamics. It provides a solid foundation for further research and applications in the field of civil engineering, aerospace, and other related disciplines.

Weight: 322g
Dimension: 144 x 222 x 17 (mm)
ISBN-13: 9781032040233