Lecture Notes on the Theory of Plates and Shells: Classical and Modern Developments

The book presents the theory of plates and shells on the basis of the three-dimensional parent theory, replacing the complex three-dimensional continuum mechanics with a more tractable two-dimensional theory. To ensure predictability, additional kinematical and dynamical descriptors are assigned to the surface.

Format: Hardback
Length: 252 pages
Publication date: 21 February 2023
Publisher: Springer International Publishing AG

This book delves into the intricate realm of plate and shell theory, building upon the foundational concept of three-dimensional parent theory. The authors embark on a fascinating exploration, examining the delicate nature of the structure to accurately represent the mechanics of the actual thin three-dimensional bodies under scrutiny. By employing a more manageable two-dimensional theory linked to an interior surface, they effectively replace the intricate three-dimensional continuum mechanics of these slender bodies with a far more tractable and predictive two-dimensional framework.

To ensure the validity and predictive power of the resulting model, it becomes crucial to compensate for the "dimension reduction" by assigning additional kinematical and dynamical descriptors to the surface whose deformations are modeled by the simpler two-dimensional theory. The authors steer clear of the various ad hoc assumptions that have historically shaped the development of this field, notably the classical Kirchhoff–Love hypothesis, which mandates that material lines initially normal to the shell surface remain so after deformation. Instead, they derive these conditions when appropriate, providing a more rigorous and coherent theoretical foundation.

Through their meticulous research and insightful analysis, the authors present a comprehensive and coherent account of plate and shell theory. This book serves as a valuable resource for scholars, researchers, and engineers seeking to deepen their understanding of this complex subject. It offers a clear and concise exposition, accompanied by detailed illustrations and examples, to facilitate a deeper grasp of the theoretical principles and practical applications. Whether you are a student embarking on a journey into the world of structural mechanics or a seasoned professional seeking to advance your knowledge, this book will undoubtedly prove to be a valuable companion.

Weight: 565g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031256738
Edition number: 1st ed. 2023