Overview

Develops new methods to analyse structures using advanced materials by comprehensively analysing existing theories to identify their underlying mathematical foundation. Using a direct approach, Mechanics of plates and shells presents a complete analysis of the various theories of rods, plates, and shells. It contains a systematic deduction of the most widely used classical theories and compares most of the different approaches. Extensive examples are used to explore the possibilities of using advanced materials for rod, plate or shell-like structures, demonstrating the necessity for the use of improved theories. Mechanics of plates and shells will also present the dimension reduction of the three-dimensional theory, showing the transition of both the Cauchy and the Cosserat continuum equations. This allows the estimation of constraints for the application of one- or two-dimensional theories. Comprehensively analyses most widely used methods and explains the foundation of the theories, especially the consequences following from the problem dimension reduction. Covers advanced materials such as composites and functionally graded materials Using examples, demonstrates the need for new and improved theories for advanced materials for rod, plate or shell-like structures.

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9781119942962

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Holm Altenbach, Otto-von-Guericke-Universitat Magdeburg, Germany Holm Altenbach is currently the Chair of Engineering Mechanics in the Faculty of Mechanical Engineering at the Otto-von-Guericke-Universitat Magdeburg. He is a member of the editorial board for several journals as well as appearing on the Scientific Committees for various Conferences on Shell Structures. He edited the recently published book 'Shell-like Structures: Non-classical Theories and Applications' and has written numerous journal papers. Victor A. Eremeyev, Otto-von-Guericke-Universitat Magdeburg, Germany and South Scientific Center of RASci and South Federal University, Russia Victor A. Eremeyev is currently a researcher at the Otto-von-Guericke-Universitat Magdeburg in Germany and the South Scientific Center of RASci and South Federal University in Russia. He is a member of the editorial board for several journals as well as appearing on the Scientific Committees for various Conferences on Shell Structures. With his co-author, he co-edited the recently published book 'Shell-like Structures: Non-classical Theories and Applications' and also co-authored three other books. He has written circa 50 journal papers.

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