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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.
List of contents
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.
Summary
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.
