Mittelstedt C. Theory of Plates and Shells 2023

Textbook in PDF format

This book deals with the analysis of plates and shells and is divided into four sections. After briefly introducing the basics of elasticity theory and the energy methods of elastostatics in the first section, the second section is devoted to the statics of disk structures. In addition to isotropic disks in Cartesian and polar coordinates, approximation methods and anisotropic disks are also discussed. The following third section deals with plate structures, covering plates in Cartesian and polar coordinates, and also discussing approximation methods and higher-order plate theories. Other chapters in this section discuss plate buckling as well as geometric nonlinear analysis and laminated plates. The fourth and final section of this book is devoted to shells, i.e., curved thin structures, following the common division into membrane theory on the one hand and bending theory on the other hand. This book is intended for students at universities, but also for engineers in practice and researchers in engineering science.
Fundamentals
Basics of Elasticity Theory
Energy Methods of Elastostatics
Disks
Isotropic Disks in Cartesian Coordinates
Isotropic Disks in Polar Coordinates
Approximation Methods for Isotropic Disks
Anisotropic Disks
Plates
Kirchhoff Plate Theory in Cartesian Coordinates
Approximation Methods for the Kirchhoff Plate
Kirchhoff Plate Theory in Polar Coordinates
Higher-order Plate Theories
Plate Buckling
Geometrically Nonlinear Analysis
Laminated Plates
Shells
Introduction to Shell Structures
Membrane Theory of Shells of Revolution