Clive L Dym 
Introduction to the Theory of Shells [PDF ebook] 
Structures and Solid Body Mechanics

Introduction to the Theory of Shells provide a brief introduction to the foundations of shell theory, and to some of the important problems that can be tackled within the framework of shell theory. The book discusses topics on the Lame problem and derivation of beam theory; the basic postulates, or assumptions of shell theory; membrane shells and the bending of circular cylinders; and axisymmetric vibrations of circular cylinders. Mathematicians and students of mathematics will find the book invaluable.