Recent Developments in Anisotropic Heterogeneous Shell Theory

Recent Developments in Anisotropic Heterogeneous Shell Theory

Author: Alexander Ya. Grigorenko

Publisher: Springer

Published: 2015-12-30

Total Pages: 129

ISBN-13: 981100353X

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This volume focuses on the relevant general theory and presents some first applications, namely those based on classical shell theory. After a brief introduction, during which the history and state-of-the-art are discussed, the first chapter presents the mechanics of anisotropic heterogeneous shells, covering all relevant assumptions and the basic relations of 3D elasticity, classical and refined shell models. The second chapter examines the numerical techniques that are used, namely discrete orthogonalization, spline-collocation and Fourier series, while the third highlights applications based on classical theory, in particular, the stress-strain state of shallow shells, non-circular shells, shells of revolution, and free vibrations of conical shells. The book concludes with a summary and an outlook bridging the gap to the second volume.


Shell Structures: Theory and Applications Volume 4

Shell Structures: Theory and Applications Volume 4

Author: Wojciech Pietraszkiewicz

Publisher: CRC Press

Published: 2017-10-30

Total Pages: 942

ISBN-13: 1351680471

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Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.


Asymptotical Mechanics of Thin-Walled Structures

Asymptotical Mechanics of Thin-Walled Structures

Author: Igor V. Andrianov

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 527

ISBN-13: 354045246X

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In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and their applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.


Mathematical Models of Higher Orders

Mathematical Models of Higher Orders

Author: Vadim A. Krysko

Publisher: Springer

Published: 2019-02-11

Total Pages: 477

ISBN-13: 3030047148

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This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.


Shell Structures: Theory and Applications

Shell Structures: Theory and Applications

Author: Wojciech Pietraszkiewicz

Publisher: CRC Press

Published: 2013-09-18

Total Pages: 600

ISBN-13: 1482229080

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Shells are basic structural elements of modern technology and everyday life. Examples are automobile bodies, water and oil tanks, pipelines, aircraft fuselages, nanotubes, graphene sheets or beer cans. Also nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes, the double helix of DNA or wings of insec


Mechanics of Porous and Fractured Media

Mechanics of Porous and Fractured Media

Author: Viktor Nikolaevich Nikolaevski?

Publisher: World Scientific

Published: 1990

Total Pages: 496

ISBN-13: 9789971503833

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In a significantly revised English edition the text provides a solid course on mechanics of porous & fractured media (mainly of geomaterials). Part I focuses on the continuum theory of the dynamic fracture and deformation of bodies with complex rheology, including the dilatancy theory. Applications are connected with dynamics large scale processes, blast waves and with structure of the Earth's crust. Part II focuses on the effects of fluid saturation of pores and transfer phenomena. Applications are connected with seismic waves, oil and gascondensate recovery, explosion works, physico-chemical processes.


Mechanics Of Continuous Media (In 2 Vols)

Mechanics Of Continuous Media (In 2 Vols)

Author: L I Sedov

Publisher: World Scientific

Published: 1997-06-01

Total Pages: 1365

ISBN-13: 9814507466

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This volume is written by Academician Sedov who is considered by many as the leading scientist in mechanics in the USSR. This latest fourth edition helps the reader in a relatively short time to master and acquire fully the essence of many geometrical and mechanical theories.