Plates: Theories And Applications

>Plates are encountered in several forms-starting from the simple uniform thin homogeneous metallic structure to more efficient and durable alternatives involving features such as variable-thickness lamination sandwich construction fiber reinforcement functional graduation and moderately- thick to very-thick geometry. Correspondingly several theoretical models are employed for their analysis and design starting from the classical thin plate theory to alternatives obtained by incorporation of appropriate complicating effects or by using fundamentally different assumptions. This book is an attempt to capture the essentials of this development and to present it such that the reader can obtain a quick understanding and overview of the subject area of plate structures.<font color=red>Contents</font color>PART A: CLASSICAL THEORY AND STRAIGHTFORWARD APPLICATIONS 1.Definition of a Thin Plate 2. Classical Plate Theory 3. A Critical Assessment of Classical Plate Theory 4. Analysis of Rectangular Plates 5. Analysis of Circular Plates 6. Free and Forced Vibration 7. Effect of In-plane Forces on Static Flexure Dynamics and Stability 8. Approximate Solutions Appendix - Solutions for Problems PART B: COMPLICATING EFFECTS AND CORRESPONDING THEORIES 9. Anisotropic Laminated and Functionally- Graded Plates 10. Elasticity Solutions for Plates 11. Shear Deformation Theories 12. Variable Thickness Plates 13. Plate Buckling due to Non-Uniform Compression 14. Non-Linear Flexure and Vibration 15. Post-Buckling Behaviour Index</i><font color=red>About the Authors</font color>Prof.K.Bhaskar has been with Indian Institute of Technology Madras since 1992 and is presently the Head of the Department of Aerospace Engineering. As part of the Structures Group he teaches courses related to Solid Mechanics and Elasticity. He has published about fifty papers primarily related to theoretical modeling of thick laminated structures in several national and international journals.Prof.T.K.Varadan was with the Department of Aerospace Engineering Indian Institute of Technology Madras for more than thirty-five years before retiring in 2001. Besides teaching a wide variety of courses related to Structural Mechanics and Aircraft Design he has made significant research contributions in the areas of Non-linear Vibration and Composite Structure with more than one hundred refereed publications in international and national journals.Prof.Bhaskar and Prof. Varadan have coauthored a book earlier: <i>Theory of Isotropic/Orthotropic Elasticity</i> (Ane Books/CRC 2009)