Nonlinear Theory of Elastic Plates
Publication Date: May 2017 Hardback 212 pp.
This book presents three plate models, those of Cosserat, Reissner-Mindlin and Kirchhoff-Love respectively. From the point of view of the kinematics hypothesis, these range from the most general to the most restrictive; and from the point of view of the formulation of the model, these range from the simplest to the most complex.
While the explanation clearly demonstrates how the models are related to each other, it also allows the reader to approach each model independently.
This book is aimed at Mathematics and Engineering postgraduate students, researchers and mechanical and civil engineers. Furthermore, this book will also serve as a good introduction for those who wish to study shell models, as the tensor tools used are exactly the same and as the formulation of these theories is similar in all points to plate theory.
1 Fundamentals of Tensor Theory.
2 Initial Position of a Plate.
3 Cosserat Plate Theory.
4. Reissner-Mindlin Plate Theory.
5. Kirchhoff-Love Plate Theory.
6 Constitutive Law of Plates.
7. Linearized Kirchhoff-Love Plate Theory.
About the Authors
Anh Le van is Professor at the University of Nantes, France. His research at the GeM (Research Institute in Civil and Mechanical Engineering) includes membrane structures and, more specifically, the problems of contact and buckling of these structures.