Shell-like Structures

The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:• comprehensive review of the most popular theories of plates and shells,• relations between three-dimensional theories and two-dimensional ones,• presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),• modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,• applications in modeling of non-classical objects like, for example, nanostructures,• presentation of actual numerical tools based on the finite element approach.

Excellent combination of theoretical foundations, advanced approaches and numerical methods with respect to plates and shells Deep mathematical, physical and numerical analysis of the foundations of the theories of plates and shells Historical remarks concerning the developments of plate and shell theories Includes supplementary material: sn.pub/extras

Inhalt
Thin-walled structural elements: classification, classical and advanced theories, new applications.- Basics of mechanics of micropolar shells.- The bending-gradient theory for laminates and in-plane periodic plates.- Some problems on localized vibrations and waves in thin shells.- Six lectures in the mechanics of elastic structures.- Selected topics on mixed/enhanced four-node shell elements with drilling rotation.