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Shell and Membrane Theories in Mechanics and Biology

Shell and Membrane Theories in Mechanics and Biology
Author: Holm Altenbach
Publisher: Springer
Total Pages: 325
Release: 2014-09-09
Genre: Science
ISBN: 331902535X

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This book presents the latest results related to shells characterize and design shells, plates, membranes and other thin-walled structures, a multidisciplinary approach from macro- to nanoscale is required which involves the classical disciplines of mechanical/civil/materials engineering (design, analysis, and properties) and physics/biology/medicine among others. The book contains contributions of a meeting of specialists (mechanical engineers, mathematicians, physicists and others) in such areas as classical and non-classical shell theories. New trends with respect to applications in mechanical, civil and aero-space engineering, as well as in new branches like medicine and biology are presented which demand improvements of the theoretical foundations of these theories and a deeper understanding of the material behavior used in such structures.


Introduction to the Theory of Shells

Introduction to the Theory of Shells
Author: Clive L Dym
Publisher: Elsevier
Total Pages: 174
Release: 2016-06-06
Genre: Technology & Engineering
ISBN: 1483136671

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Introduction to the Theory of Shells centers on the foundations of shell theory, and to some of the important problems that can be tackled within the framework of shell theory. Organized into seven chapters, this book begins with an explanation of the elements of the theory of surfaces and the construction of a shell theory. Subsequent chapter describes a class of shells known as membrane shells, or membranes. Other chapters detail the bending of circular cylinders; shells of revolution; and axisymmetric vibrations of circular cylinders. This book will be useful as a text that represents a one-semester beginning for students with a reasonable (first course) background in elasticity theory.


Shell Theory

Shell Theory
Author: F.I. Niordson
Publisher: Elsevier
Total Pages: 423
Release: 2012-12-02
Genre: Technology & Engineering
ISBN: 0444599096

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This account of the theory of plates and shells is written primarily as a textbook for graduate students in mechanical and civil engineering.The unified treatment of shells of arbitrary shape is accomplished by tensor analysis. This useful tool is introduced in the first chapter, and no knowledge of advanced mathematical methods is required. The general theory developed in the first eight chapters is applied in the remaining part to thin elastic plates and shells with special emphasis on engineering methods and engineering applications. A number of detailed examples illustrate the theory.


Linear Elastic Theory of Thin Shells

Linear Elastic Theory of Thin Shells
Author: J. E. Gibson
Publisher: Elsevier
Total Pages: 193
Release: 2014-05-09
Genre: Technology & Engineering
ISBN: 1483180735

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Linear Elastic Theory of Thin Shells presents membrane and bending theories for open and closed cylindrical shells and shells of arbitrary shape. This book aims to develop the analysis through membrane theory to bending theory for shells and to limit the type of mathematics used. Organized into eight chapters, this book begins with an overview of the solid material enclosed between two closely spaced doubly curved surfaces. This text then examines the five stress resultants for closed cylindrical shell. Other chapters consider the theoretical stresses that are closely related to the actual stresses determined experimentally in practice. This book discusses as well the numerical analysis of more complicated shell structures. The final chapter deals with the correlation between experimental and theoretical stresses in shells. This book is intended to be suitable for final year engineering and post-graduate students. Design and consulting engineers will also find this book extremely useful.


Advances in Mechanics of Microstructured Media and Structures

Advances in Mechanics of Microstructured Media and Structures
Author: Francesco dell'Isola
Publisher: Springer
Total Pages: 368
Release: 2018-02-27
Genre: Science
ISBN: 3319736949

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This book is an homage to the pioneering works of E. Aero and G. Maugin in the area of analytical description of generalized continua. It presents a collection of contributions on micropolar, micromorphic and strain gradient media, media with internal variables, metamaterials, beam lattices, liquid crystals, and others. The main focus is on wave propagation, stability problems, homogenization, and relations between discrete and continuous models.


Plates and Shells

Plates and Shells
Author: Ansel C. Ugural
Publisher: CRC Press
Total Pages: 592
Release: 2017-10-02
Genre: Science
ISBN: 135159866X

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Noted for its practical, accessible approach to senior and graduate-level engineering mechanics, Plates and Shells: Theory and Analysis is a long-time bestselling text on the subjects of elasticity and stress analysis. Many new examples and applications are included to review and support key foundational concepts. Advanced methods are discussed and analyzed, accompanied by illustrations. Problems are carefully arranged from the basic to the more challenging level. Computer/numerical approaches (Finite Difference, Finite Element, MATLAB) are introduced, and MATLAB code for selected illustrative problems and a case study is included.


Theory of Elastic Thin Shells

Theory of Elastic Thin Shells
Author: A. L. Gol'Denveizer
Publisher: Elsevier
Total Pages: 681
Release: 2014-05-15
Genre: Technology & Engineering
ISBN: 1483164624

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Theory of Elastic Thin Shells discusses the mathematical foundations of shell theory and the approximate methods of solution. The present volume was originally published in Russian in 1953, and remains the only text which formulates as completely as possible the different sets of basic equations and various approximate methods of shell analysis emphasizing asymptotic integration. The book is organized into five parts. Part I presents the general formulation and equations of the theory of shells, which are based on the well-known hypothesis of the preservation of the normal element. Part II is devoted to the membrane theory--the most widely used approximate method of analysis of shells that was formulated at approximately the same time as the more general bending theory. In Part III methods of analysis of circular cylindrical shells with the aid of trigonometric series are considered. Part IV is essentially mathematical in character and its purpose is to justify the approximate methods of shell analysis. In Part V approximate methods of analysis of shells are formulated.


Shell Structures: Theory and Applications Volume 4

Shell Structures: Theory and Applications Volume 4
Author: Wojciech Pietraszkiewicz
Publisher: CRC Press
Total Pages: 574
Release: 2017-10-30
Genre: Technology & Engineering
ISBN: 135168048X

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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.


Nanomaterials and Nanocomposites, Nanostructure Surfaces, and Their Applications

Nanomaterials and Nanocomposites, Nanostructure Surfaces, and Their Applications
Author: Olena Fesenko
Publisher: Springer Nature
Total Pages: 637
Release: 2023-03-27
Genre: Science
ISBN: 3031180968

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This book highlights some of the latest advances in nanotechnology and nanomaterials from leading researchers in Ukraine, Europe and beyond. It features contributions presented at the 8th International Science and Practice Conference Nanotechnology and Nanomaterials (NANO2020), which was held on August 25–28, 2021 at Lviv Polytechnic National University, and was jointly organized by the Institute of Physics, the National Academy of Sciences of Ukraine, Lviv Polytechnic National University, University of Tartu (Estonia), University of Turin (Italy), Pierre and Marie Curie University (France), European Profiles S.A. (Greece), Representation of the Polish Academy of Sciences in Kyiv, University of Angers (France), Ruprecht Karl University of Heidelberg (Germany). Internationally recognized experts from a wide range of universities and research institutions share their knowledge and key findings on material properties, behavior, and synthesis. This book’s companion volume also addresses topics such as nano-optics, energy storage, and biomedical applications.