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.