Elastic shells are pervasive in everyday life. Examples of these thin-walled structures range from automobile hoods to basketballs, veins, arteries and soft drink cans. This book explains shell theory, with numerous examples and applications. As a second edition, it not only brings all the material of the first edition entirely up to date, it also adds two entirely new chapters on general shell theory and general membrane theory. Aerospace, mechanical and civil engineers, as well as applied mathematicians, will find this book a clearly written and thorough information source on shell theory.
This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.
The shell shall be considered as a three-dimensional continuous medium; for the coordinate surface, the middle surface of the shell shall be assumed parallel to the bounding surfaces. Let alpha and...
The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength...